arXiv subjects

Po-Hao Chang

Publications and source records attributed to Po-Hao Chang.

At least 19 recordsLinked to original sources

arXiv2026

From Embeddings to Dyson Series: Transformer Mechanics as Non-Hermitian Operator Theory

Transformer architectures are typically described in algorithmic and statistical terms, leaving their internal mechanics without a familiar structural language for researchers trained in physical theories. To bridge this gap, we develop a complementary operator-theoretic framework that recasts their mechanics in a language familiar to many-body physics. Beginning from the token as a discrete index without intrinsic geometry, we show that embedding corresponds to a basis transformation into a continuous representation space. Once such a reference basis is established, self-attention naturally assumes the role of a non-Hermitian interaction operator, and network depth implements an ordered composition of these interactions. Within this formulation, several empirical properties of deep Transformers -- including stability at large depth, representational saturation, and the effectiveness of multi-head decomposition -- find natural structural interpretations as consequences of regulated operator composition. Together, channel factorization and normalization emerge as organizing structural logic rather than isolated architectural choices. This perspective does not rely on post-hoc analogy, but follows a constructive path where each parallel arises from the preceding structural step. By recasting Transformer mechanics in operator language, the framework lowers the conceptual barrier between deep learning and many-body physics through shared mathematical structure, making tools and intuitions from each domain more readily legible to the other.

cond-mat.dis-nn↗

arXiv2026

Modeling of a twisted-Kagome HoAgGe spin ice using Reduced-Configuration-Space Search and Density Functional Theory

The Kagome lattice is a 2D network of corner sharing triangles found in several rare earth materials resulting in a complicated and often frustrated magnetic system. In the last decades, modifications of the motif, such as breathing Kagome, asymmetric Kagome, and twisted Kagome were brought into the limelight. In particular, the latter has lower symmetry than the original Kagome and thus allows implementations of an "Ising-local" Hamiltonian, leading to a 2D spin ice. One such material implementation, HoAgGe, was recently reported to have an exceptionally rich phase diagram and is a strongly frustrated 2D spin-ice material with a twisted-Kagome geometry. In the presence of an external magnetic field the compound exhibits step-like magnetization plateaus at simple fractions of the saturation magnetization. It is believed that this phenomenon results from strong single-site anisotropy, which in HoAgGe was found to be in-plane and along a high-symmetry direction. Previous Monte Carlo simulations with empirical exchange parameters explain some, but not all experimental observations. In this work we present (a) first-principle calculations of the crucial model parameters and (b) direct energy minimization via a Reduced-Configuration-Space search, as well as Monte-Carlo simulations of the field-dependent phase diagram. We find that for HoAgGe the calculated exchange parameters are very different from the earlier suggested empirical ones, and describe the phase diagram much more accurately. This is likely because the first-principles parameters are, in addition to geometrically, also parametrically frustrated.

cond-mat.str-el↗

arXiv2026

Is altermagnetism in vanadium oxychalcogenides a lost cause?

Vanadium-based oxychalcogenide compounds with the inverse Lieb-lattice (ILL) structural pattern have recently been proposed as candidate altermagnets (AM). However, early studies postulated ferromagnetic interlayer coupling, a critical requirement for preserving the bulk AM state. Here we present a systematic survey of the complete AV2Q2O family (A = K, Rb, Cs; Q = S, Se, Te) in terms of their magnetic ordering and interlayer coupling. While intralayer exchange interaction favors AM ordering in a single ILL layer across the entire family, the relatively weak interlayer coupling in most cases favors Kramers-degenerate antiferromagnetic order with a doubled magnetic unit cell. This means that most stoichiometric bulk materials, including the previously proposed candidate KV2Se2O, are not altermagnetic, with CsV2Te2O being the only exception. Using hole doping to simulate alkali vacancies, we show that realistic deviations from stoichiometry do not change the magnetic ground state in these compounds.

cond-mat.str-el↗

arXiv2026

Anisotropy, frustration and saddle point in the twisted Kagome antiferromagnet ErPdPb

The kagome lattice, with its inherent geometric frustration, provides a rich platform for exploring intriguing magnetic phenomena and topological electronic structures. In reduced-symmetry structures, such as twisted kagome systems involving rare earth elements, additional anisotropy can arise, enabling intriguing properties including spin-ice states, magnetocaloric effects, noncollinear magnetic ordering, and anomalous Hall effect. Here, we report the synthesis of single crystals of ErPdPb, which features a twisted kagome lattice net of Er atoms within the hexagonal ZrNiAl-type structure, and we investigate its magnetic, electronic, and thermal properties. The material exhibits antiferromagnetic ordering below 2.2 K, consistently observed in magnetic, transport, and heat capacity measurements. Magnetization measurements reveal 1/3 metamagnetic steps along the c-axis below the Néel temperature, suggesting an Ising-spin-like state on the twisted kagome lattice. A pronounced anisotropy between in-plane and out-of-plane resistivity is observed throughout the temperature range of 1.8-300 K, and the compound exhibits a significant frustration index of 13.6 (12.7) along the c-axis (ab-plane). Heat capacity measurements show a broad hump at 2.2 K, with an additional increase below 0.5 K. The anisotropic magnetic properties are further explored through density functional theory (DFT) calculations, which suggest strong easy-axis anisotropy, consistent with experimental magnetic measurements and crystal-field model expectations, and quasi-one-dimensional bands and a spin-split saddle point at the zone center.

cond-mat.str-el↗

arXiv2025

Inverse Lieb Materials: Altermagnetism and More

The Lieb lattice, originally proposed for cuprate superconductors, has gained new attention in the emerging field of altermagnetism as a minimal analytical model for the latter. While initially the so-called inverse Lieb lattice (ILL) was deemed only a theoretical model, recently several real materials with this crystallographic motif have been found. The unique geometry of ILL can accommodate complex magnetic orderings arising from competing exchange interactions and geometric frustration, offering great tunability for magnetic properties. In this work, we provide comprehensive insights into magnetic phases in ILL materials and establish guidelines for efficient identification of altermagnetic materials within this family. We begin by constructing phase diagrams using a simple Heisenberg model to elucidate the fundamental mechanisms underlying altermagnetism and other complex magnetic phases observed experimentally. To bridge theory with experiment, we systematically investigate a series of existing ILL compounds using density functional theory (DFT) calculations to determine their magnetic ground states. Our computational results are in good agreement with experimental observations. Importantly, we identify a trend linking magnetic ordering to the $d$-shell filling of transition metal ions, with $d^{2-3}$ and $d^{5}$ configurations showing propensity for altermagnetic behavior. Additionally, we identify a promising metallic compound Sr$_{2}$CrO$_{2}$Cr$_{2}$OAs$_{2}$ as an altermagnet that is highly anisotropic in its $J_2$ exchange couplings with large Néel temperature ($\sim 600$ K). Using exchange coupling parameters extracted from DFT calculations, we compute the magnon spectra for altermagnetic systems. As expected, chiral splittings in the magnon dispersion are directly correlated with anisotropy between crystallographically inequivalent $J_{2}$ exchange interactions.

cond-mat.mtrl-sci↗

arXiv2025

Doping-induced Spin Reorientation in Kagome Magnet TmMn6Sn6

The kagome-lattice compounds RMn6Sn6 (R is a rare earth element), where the Mn atoms form a kagome net in the basal plane, are currently attracting a great deal of attention as they have been shown to host complex magnetic textures and electronic topological states strongly sensitive to the choice of the R atom. Among the magnetic R atoms, TmMn6Sn6 orders with the easy-plane magnetization forming a complex magnetic spiral along the c-axis. Previous neutron studies, carried on polycrystalline, samples found that Ga doping changes the magnetic anisotropy from easy-plane to easy-axis. Here we present magnetic and magnetotransport measurements on a single crystal and first principles calculations in the doping series of TmMn6Sn6-xGax. We find that the magnetic properties are highly sensitive even to a small concentration of Ga. With minimal Ga substitution, the easy-plane anisotropy is maintained, which gradually changes to the easy-axis anisotropy with increasing Ga. We discuss these observations with respect to the effect of Ga doping on magnetocrystalline anisotropy and Tm crystal field

cond-mat.mtrl-sci↗

arXiv2025

Tunable topological transitions in the frustrated magnet HoAgGe

The kagome lattice, known for its strong frustration in two dimensions, hosts a variety of exotic magnetic and electronic states. A variation of this geometry, where the triangular motifs are twisted to further reduce symmetry, has recently revealed even more complex physics. HoAgGe exemplifies such a structure, with magnetic and electronic properties believed to be driven by strong in-plane anisotropy of the Ho spins, effectively acting as a two-dimensional spin ice. In this study, using a combination of magnetization, Hall conductivity measurements, and density functional theory calculations, we demonstrate how various spin-ice states, stabilized by external magnetic fields, influence the Fermi surface topology. More interestingly, we observe sharp transitions in Hall conductivity without concurrent changes in magnetization when an external magnetic field is applied along a particular crystallographic direction, underscoring the role of strong magnetic frustration and providing a new platform for exploring the interplay between magnetic frustration, electronic topology, and crystalline symmetry. These results also highlight the limitations of a simple spin-ice model, suggesting that a more sophisticated framework is necessary to capture the subtle experimental nuances observed.

cond-mat.str-el↗

arXiv2024

Three-dimensional nature of anomalous Hall conductivity in YMn6Sn6-xGax, x ~ 0.55

The unique connectivity of kagome lattices gives rise to topological properties, such as flat bands and Dirac cones. When combined with ferromagnetism and a chemical potential near the 2D Dirac points, this structure offers the potential to realize the highly sought-after topological Chern magnetotransport. Recently, there was considerable excitement surrounding this possibility in the ferrimagnetic kagome metal TbMn$_\mathbf{6}$Sn$_\mathbf{6}$. However, density functional theory (DFT) calculations reveal that the 2D Chern gap lies well above the Fermi energy, challenging its relevance in the observed anomalous Hall conductivity. Here, we investigate YMn$_\mathbf{6}$Sn$_\mathbf{5.45}$Ga$_\mathbf{0.55}$, a compound with similar crystallographic, magnetic, and electronic properties to TbMn$_\mathbf{6}$Sn$_\mathbf{6}$. Our findings show that the intrinsic anomalous Hall conductivity in this material, while comparable in magnitude to that in TbMn$_\mathbf{6}$Sn$_\mathbf{6}$, is fully three-dimensional, thus providing experimental evidence that Hall conductivity in this class of materials does not originate from 2D Chern gaps. Additionally, we confirm that the newly proposed empirical scaling relation for extrinsic Hall conductivity is universally governed by spin fluctuations.

cond-mat.mtrl-sci↗

arXiv2024

The mysterious magnetic ground state of Ba14MnBi11 is likely altermagnetic

Mn-based transition metal Zintl compounds in the 14-1-11 phase are known to host complex atomic and magnetic structures owing to their intricate crystal structure. Among them, Ba14MnBi11 stands out as one of the least understood compounds, with experimental measurements and theoretical findings largely inconsistent. Following up on the earlier attempt [D. Sanchez-Portal et al., PRB 65, 144414 (2002)] at establishing a connection between metallicity and magnetism through a DFT-based analysis, our work aims to provide additional insights to resolve the existing contradictions. Our key finding is that the magnetic ground state is very susceptible to charge doping. DFT calculations for stoichiometric Ba14MnBi11 give a rather stable ferromagnetic metallic ground state. However, by adding exactly one additional electron per Mn, the system becomes semiconducting and the magnetic ground state becomes weakly antiferromagnetic (AF). On the other hand, upon small hole doping the system transitions to a special type of AF state known as altermagnetic ordering. The observed trends suggest that hole and electron doping-induced phase transitions likely result from different underlying mechanisms, influencing various exchange pathways. Additionally, our projected density-of-states along with bandstructure analyses indicate that, besides the largest hole contribution coming from the tetrahedral unit of Bi, the isolated Bi sites also play a substantial role and the dispersive bands near VBM suggest a rather complex hybridization network involving both Bi band characters. Through a comprehensive comparison of available data and our analysis, we propose that the inconsistency in magnetic states between experimental findings and DFT calculations is due to nonstoichiometric effects, likely impurities or defects.

cond-mat.mtrl-sci↗

arXiv2023

Exploring Metamagnetism in Triangular Ising Networks: Insights from Further-Neighbor Interactions with a Case Study on ErGa2

The classical Ising model on the triangular lattice (we will call it I-3 model below), while simple in the nearest-neighbors (NN) only approximation, becomes increasingly richer and more complex when further interactions are incorporated. However, the studies so far have not been exhaustive, nor have any attempts been made to estimate how realistic are the parameter ranges that generate strong metamagnetism with a large number of magnetization steps. In this study, we identify one such candidate, ErGa$_{2}$, a material known to have one strong magnetization step, albeit some narrow steps below and above cannot be confidently excluded. It has been established, and we can confirm the same computationally, to have an easy axis perpendicular to the triangular Er plane, with a strong anisotropy and with a large magnetic moment of $9.5\:μ_{B}$, making it a perfect implementation of the classical I-3 model. In the first part of the analysis, we present the I-3 model with up to the third nearest-neighbors in a range of parameters $J_{2}$ and $J_{3}$ ($J_{1}$ in this part is set to 1), and in some cases adding a rather small $J_{4}$ in order to reveal new phases otherwise degenerate with some others. The richest phase diagram is, not surprisingly, observed when all interactions are antiferromagnetic (AF). Subsequently, a more realistic case, inspired by RKKY and by our calculations for ErGa$_{2}$, where $J_{1},J_{2}>0$ (antiferromagnetic) and $J_{3},J_{4}<0$ (ferromagnetic), is presented. Finally, we report our first-principles calculations of $J_{1-4}$ in ErGa$_{2}$ and compared the phase diagram in the regime corresponding to the calculated values with the experiment.

cond-mat.mtrl-sci↗

arXiv2023

Pressure-induced magnetic properties of quasi-2D Cr2Si2Te6 and Mn3Si2Te6

Recently, the pressure has been used as external stimuli to induce structural and magnetic phase transitions in many layered quantum materials whose layers are linked by van der Waals forces. Such materials with weakly held layers allow relatively easy manipulation of the superexchange mechanism and lead to novel magnetic behavior. Using the hydrostatic pressure as a disorderless means to manipulate the interlayer coupling, we applied pressure on two quasi-2D sister compounds, namely, Cr2Si2Te6 (CST) and Mn3Si2Te6 (MST), up to ~1 GPa. Magnetic property measurements with the application of pressure revealed that the ferromagnetic transition temperature decreases in CST while the opposite trend occurs for the ferrimagnet MST. In MST, the magnetization decreases with the increase in the pressure, and such trend is not clearly noticed in CST, within the pressure range studied. Theoretical calculations showed the overall pressure effect on layer separation, bond angle, and exchange coupling, strongly influencing the change in subsequent magnetic characteristics. Exchange coupling in Mn3Si2Te6 is strongly frustrated and the first nearest neighbor interaction is the most dominant of the components with the strongest pressure dependence. Whereas, in Cr2Si2Te6, the exchange coupling parameters exhibit very little dependence on the pressure. This combined experimental and theoretical work has the potential to expand to other relevant quantum materials.

cond-mat.mtrl-sci↗

arXiv2022

Self-consistent implementation of locally scaled self-interaction-correction method

Recently proposed local self-interaction correction (LSIC) method [Zope, R. R. et al., J. Chem. Phys. 151, 214108 (2019)] is a one-electron self-interaction-correction (SIC) method that uses an iso-orbital indicator to apply the SIC at each point in space by scaling the exchange-correlation and Coulomb energy densities. The LSIC method is exact for the one-electron densities, also recovers the uniform electron gas limit of the uncorrected density functional approximation, and reduces to the well-known Perdew-Zunger SIC (PZSIC) method as a special case. This article presents the self-consistent implementation of the LSIC method using the ratio of Weizsäcker and Kohn-Sham kinetic energy densities as an iso-orbital indicator. The atomic forces as well as the forces on the Fermi-Löwdin orbitals are also implemented for the LSIC energy functional. Results show that LSIC with the simplest local spin density functional predicts atomization energies of AE6 dataset better than some of the most widely used GGA functional (e.g. PBE) and barrier heights of BH6 database better than some of the most widely used hybrid functionals (e.g. PBE0 and B3LYP). The LSIC method [mean absolute error (MAE) of 0.008 Å] predicts bond lengths of a small set of molecules better than the PZSIC-LSDA (MAE 0.042 Å) and LSDA (0.011 Å). This work shows that accurate results can be obtained from the simplest density functional by removing the self-interaction-errors using an appropriately designed SIC method.

physics.chem-ph↗

arXiv2022

A hybrid approach to basis set independent Poisson solver for an arbitrary charge distribution

We review two common numerical schemes for Coulomb potential evaluation that differ only in their radial part of the solutions in the spherical harmonic expansion (SHE). One is based on finite-difference method (FDM) while the other is based on the Green's function (GF) solution to the radial part of the Poisson equation. We analyze the methods and observe that the FDM-based approach appears to be more efficient in terms of the convergence with the number of radial points, particularly for monopole (l=0). However, as a known issue, it suffers from error accumulation as the system size increases. We identify the source of error that comes mainly from l=1 (and sometimes l=2) contribution of SHE induced by the charge partitioning. We then propose a hybrid scheme by combining the two methods, where the radial solution for l=0 is obtained using the FDM method and treating the remaining terms using GF approach. The proposed hybrid method is subsequently applied to a variety of systems to examine its performance. The results show improved accuracy than earlier numerical schemes in all cases. We also show that, even with a generic set of radial grid parameters, accurate energy differences can be obtained using a numerical Coulomb solver in standard density functional studies. ~

physics.chem-ph↗

arXiv2022

Study of Self-Interaction Errors in Density Functional Calculations of Magnetic Exchange Coupling Constants Using Three Self-Interaction Correction Methods

We examine the role of self-interaction errors (SIE) removal on the evaluation of magnetic exchange coupling constants. In particular we analyze the effect of scaling down the self-interaction-correction (SIC) for three {\em non-empirical} density functional approximations (DFAs) namely, the local spin density approximation, the Perdew-Burke-Ernzerhof generalized gradient approximation, and recent SCAN family of meta-GGA functionals. To this end, we employ three one-electron SIC methods: Perdew-Zunger [Perdew, J. P.; Zunger, A. \textit{Phys. Rev. B}, {\bf 1981}, \textit{23}, 5048] SIC, the orbitalwise scaled SIC method [Vydrov, O. A. \textit{et al.}, \textit{J. Chem. Phys.} {\bf 2006,} \textit{124}, 094108], and the recent {local} scaling method [Zope, R. R. \textit{et al.}, \textit{J. Chem. Phys.} {\bf 2019}, \textit{151}, 214108]. We compute the magnetic exchange coupling constants using the spin projection and non projection approaches for sets of molecules composed of dinuclear and polynuclear H--He models, organic radical molecules, and chlorocuprate, and compare these results against accurate theories and experiment. Our results show that for the systems that mainly consist of single electron regions, PZSIC performs well but for more complex organic systems and the chlorcuprates, an overcorrecting tendency of PZSIC combined with the DFAs utilized in this work is more pronounced, and in such cases LSIC with kinetic energy density ratio performs better than PZSIC. Analysis of the results in terms of SIC corrections to the density and to the total energy shows that both density and energy correction are required to obtain an improved prediction of magnetic exchange couplings.

physics.chem-ph↗

arXiv2021

Spirals and skyrmions in antiferromagnetic triangular lattices

We study realizations of spirals and skyrmions in two-dimensional antiferromagnets with a triangular lattice on an inversion-symmetry-breaking substrate. As a possible material realization, we investigate the adsorption of transition-metal atoms (Cr, Mn, Fe, or Co) on a monolayer of MoS$_2$, WS$_2$, or WSe$_2$ and obtain the exchange, anisotropy, and Dzyaloshinskii-Moriya interaction parameters using first-principles calculations. Using energy minimization and parallel-tempering Monte-Carlo simulations, we determine the magnetic phase diagrams for a wide range of interaction parameters. We find that skyrmion lattices can appear even with weak Dzyaloshinskii-Moriya interactions, but their stability is hindered by magnetic anisotropy. However, a weak easy plane magnetic anisotropy can be beneficial for stabilizing the skyrmion phase. Our results suggest that Cr$/$MoS$_2$, Fe$/$MoS$_2$, and Fe$/$WSe$_2$ interfaces can host spin spirals formed from the 120$^{\circ}$ antiferromagnetic states. Our results further suggests that for other interfaces, such as Fe$/$MoS$_2$, the Dzyaloshinskii-Moriya interaction is strong enough to drive the system into a three-sublattice skyrmion lattice in the presence of experimentally feasible external magnetic field.

cond-mat.mes-hall↗

arXiv2020

Fermi surface topology and non-trivial Berry phase in the flat-band semimetal Pd$_3$Pb

A study of the Fermi surface of the putative topological semimetal Pd$_3$Pb has been carried out using Shubnikov-de Haas (SdH) oscillations measured in fields of up to 60 T. Pd$_3$Pb has garnered attention in the community due to a peculiar Fermi surface that has been proposed theoretically by Ahn, Pickett, and Lee, [Phys. Rev. B 98, 035130 (2018)] to host a dispersion-less band along $X-Γ$ as well as multiple triply-degenerate band crossings that, under the influence of spin-orbit coupling, lead to ten four-fold degenerate Dirac points. Analysis of the SdH oscillation data verifies the calculated multi-sheet Fermi surface, revealing a $Γ$ centered spheroid that had not been resolved experimentally in prior studies. A comprehensive, angle-dependent analysis of the phase of the SdH oscillations convincingly demonstrates a non-trivial Berry phase for two bands along $Γ-R$, supporting the theoretical predictions, while simultaneously evidencing interference between extremal orbits that mimics a trivial Berry phase at intermediate angles.

cond-mat.str-el↗

arXiv2020

Microscopic Origin of Spin-Orbit Torque in Ferromagnetic Heterostructures: A First Principles Approach

We present an {\it ab initio}-based theoretical framework which elucidates the origin of the spin-orbit torque (SOT) in Normal-Metal(NM)/Ferromagnet(FM) heterostructures. The SOT is decomposed into two contributions, namely, {\it spin-Hall} and the {\it spin-orbital} components. We find that {\it (i)} the Field-Like (FL) SOT is dominated by the spin-orbital component and {\it (ii)} both components contribute to the damping-like torque with comparable magnitude in the limit of thick Pt film. The contribution of the spin-orbital component to the DL-SOT is present only for NMs with strong SOC coupling strength. We demonstrate that the FL-SOT can be expressed in terms of the non-equilibrium spin-resolved orbital moment accumulation. The calculations reveal that the experimentally reported oxygen-induced sign-reversal of the FL-SOT in Pt/Co bilayers is due to the significant reduction of the majority-spin orbital moment accumulation on the interfacial NM atoms.

cond-mat.mes-hall↗

arXiv2015

Nonequilibrium spin texture within a thin layer below the surface of current-carrying topological insulator Bi$_2$Se$_3$: A first-principles quantum transport study

We predict that unpolarized charge current injected into a ballistic thin film of prototypical topological insulator (TI) Bi$_2$Se$_3$ will generate a {\it noncollinear spin texture} $\mathbf{S}(\mathbf{r})$ on its surface. Furthermore, the nonequilibrium spin texture will extend into $\simeq 2$ nm thick layer below the TI surfaces due to penetration of evanescent wavefunctions from the metallic surfaces into the bulk of TI. Averaging $\mathbf{S}(\mathbf{r})$ over few Å along the longitudinal direction defined by the current flow reveals large component pointing in the transverse direction. In addition, we find an order of magnitude smaller out-of-plane component when the direction of injected current with respect to Bi and Se atoms probes the largest hexagonal warping of the Dirac-cone dispersion on TI surface. Our analysis is based on an extension of the nonequilibrium Green functions combined with density functional theory (NEGF+DFT) to situations involving noncollinear spins and spin-orbit coupling. We also demonstrate how DFT calculations with properly optimized local orbital basis set can precisely match putatively more accurate calculations with plane-wave basis set for the supercell of Bi$_2$Se$_3$.

cond-mat.mes-hall↗