arXiv subjects

Gang v. Chen

Publications and source records attributed to Gang v. Chen.

15 recordsLinked to original sources

arXiv2026

Kane-Lubensky phonons in Maxwell lattice frustrated Mott insulators

We show that zero-energy gapless Weyl-line phonons of the Kane-Lubensky's type can arise in the three-dimensional Maxwell lattice frustrated Mott insulators through the magnetopological mechanics. In a pyrochlore antiferromagnet with the spin-lattice coupling, a magnetic field selects the spin state whose lattice distortion generates a $P4_3 32$ topological lattice. More crucially, the spin-lattice coupling and the spin configuration cause the bending of the neighbouring bonds, and converts the system into the topological Maxwell lattice. Remarkably, the resulting system is found to host the bulk zero-frequency Weyl-line phonons protected topologically, and these gapless phonons are not Goldstone modes. Unlike the conventional ${C_{\rm ph}\sim T^3}$ for the Goldstone phonons, these one-dimensional zero-mode manifolds yield a characteristic low-temperature phonon specific heat ${C_{\rm ph}\sim T^2}$. Our results could find applications in the Cr-based spinel systems, and moreover, we establish a low-energy platform where an extensive number of topological zero-frequency phonons can strongly couple to other degrees of freedom, opening a route to exotic phonon-mediated phenomena.

cond-mat.str-el↗

arXiv2026

Emergent Gauge Flux and Spin Ordering in Magnetized Triangular Spin Liquids: Applications to Hofstadter-Hubbard Model

Motivated by recent progress in moiré superlattices and spin-1/2 triangular-lattice antiferromagnets, we study how orbital magnetic flux and Zeeman coupling compete or cooperate in generating internal U(1) gauge flux in a triangular spin liquid. We show that orbital flux favors a chiral spin liquid with staggered internal flux, whereas Zeeman coupling destabilizes the spinon Fermi-pocket state toward a Landau-level state with spontaneous uniform internal flux and conical spin order. We demonstrate this mechanism in a spin-$1/2$ $J_1$-$J_2$-$J_χ$ model, and further identify thermal Hall and magnetic signatures that distinguish these regimes, with potential applications to moiré Hofstadter-Hubbard systems and triangular-lattice antiferromagnets.

cond-mat.str-el↗

arXiv2026

Surface chiral Abelian topological order on multilayer cluster Mott insulators

The surface states of a symmetry protected topological state can have many possibilities. Here we propose a chiral Abelian topological order on a distinct surface of a multilayer-stacked cluster Mott insulating system. The first-principle calculation and the slave-rotor mean-field theory are applied to study the surface states of the relevant material system. The angle-resolved photoemission spectroscopic measurement is further suggested to detect the anomalous surface fractionalization of the chiral Abelian topological order on the surface. The connection with real materials is further discussed. We expect our results to inspire the interest in the emergent exotic and correlation physics among the cluster Mott insulating systems and in the interplay between the two different branches of topological phases.

cond-mat.str-el↗

arXiv2026

Orbital homology of p and t2g orbitals in models and materials

The nominal divide between $p$- and $d$-electron systems often obscures a deep underlying unity in condensed matter physics. This review elucidates the orbital homology between the $p$ and $t_{2g}$ orbital manifolds, establishing the correspondence that extends from minimal model Hamiltonians to the complex behaviors of real quantum materials. We demonstrate that despite their distinct atomic origins, these orbitals host nearly identical hopping physics and spin-orbit coupling, formalized through an effective ${l=1}$ angular momentum algebra for the $t_{2g}$ case. This equivalence allows one to transpose physical intuition and theoretical models developed for $p$-orbital systems directly onto the more complex $t_{2g}$ materials, and vice versa. We showcase how this paradigm provides a unified understanding of emergent phenomena, including non-trivial band topology, itinerant ferromagnetism, and unconventional superconductivity, across a wide range of platforms, from transition metal compounds, two-dimensional oxide heterostructures, and iron-based superconductors, to $p$-orbital ultracold gases. Ultimately, this $p$-$t_{2g}$ homology serves not only as a tool for interpretation but also as a robust design principle for engineering novel quantum states.

cond-mat.str-el↗

arXiv2026

Non-Abelian Anyon Braiding with Quantum-Antidot Interferometry

Conventional Fabry--Perot interferometry accesses only full braids of anyons and therefore cannot directly probe the elementary $π$-rotation exchange. Motivated by the recent quantum-antidot proposal for the Abelian anyons, we propose an interferometry for probing the elementary exchanges of non-abelian anyons using two gate-controlled quantum antidots. By tuning two antidots independently, the device realizes distinct cooperative tunnelling processes, which correspond to different braids of non-abelian anyons. For the unresolved local fusion channels, the difference between the interference signals of the single and double cooperative processes allows us to measure the elementary exchange of the non-abelian anyons, providing a direct probe of their non-abelian statistics and topological spins. For the resolved local fusion channels, the double-cooperative process is further distinguished by a reduced interference amplitude. Our work provides a promising and practical route for manipulating and detecting non-abelian braiding with the fundamental fractional statistics.

cond-mat.mes-hall↗

arXiv2026

Quantum oscillations in proximity to high-angular-momentum band inversion

Quantum oscillations provide a fundamental probe of electronic structure in magnetic fields, revealing the Fermi surface topology in metals, and/or the quasiparticle properties even in the insulating regimes. Here we study quantum oscillations in minimal models of high-angular-momentum (HAM) band inversion for both a chiral two-band model and a time-reversal-invariant four-band model. In the former case, finite oscillations can appear at the hybridized Chern-insulating regime due to thermal-activated excitations. In the latter case, interference between the two time-reversal-related blocks drives a strong deviation from the Lifshitz-Kosevich form, producing a non-monotonic temperature dependence of the oscillation amplitude and characteristic suppression temperatures whose number follows the angular momentum $l$. These results identify experimentally accessible signatures of HAM band inversion and provide a framework for other discrete-symmetry-related hybridizations and excitonic pairings.

cond-mat.str-el↗

arXiv2026

3D Ising criticality with Platonic lattice superconducting qubits

The three-dimensional (3D) Ising model is a foundational model in statistical physics and critical phenomena, yet its analytical intractability has long impeded the precise determination of universal critical exponents. While high-precision estimates have been obtained through classical numerical methods and conformal bootstrap techniques, a direct quantum simulation of the 3D Ising criticality remains challenging, requiring nontrivial connectivity, sufficient system size, and high spectral resolution. In this work, assisted by the state-operator correspondence of conformal field theory, we perform a digital quantum simulation of the 3D Ising critical exponents using a multiply-connected 9-qubit superconducting quantum processor with a Platonic lattice geometry. Employing an extended variational quantum eigensolver equipped with a phase-based loss function, we variationally prepare the low-energy eigenstates of the transverse-field Ising model on a cubic Platonic lattice encoded in an 8-qubit register. The four lowest eigenenergies are extracted via Fourier-transform analysis and high-precision numerical fitting, agreeing with the exact diagonalization values up to +/- 0.001. The resulting scaling dimension Delta_epsilon = 1.5850 and critical exponent nu = 0.7067 match well with theory.

quant-ph↗

arXiv2026

Classical symmetry enriched topological orders and distinct monopole charges for dipole-octupole spin ices

Distinct symmetry enriched topological orders often do not have classical distinctions. Motivated by the recent progress on the pyrochlore spin ice materials based on the dipole-octupole doublets, we argue that the dipolar spin liquid and the octupolar spin liquid can be distinguished through the magnetic charges of the magnetic monopoles in the classical spin ice regime. It is observed and predicted that the long-range dipole-dipole interaction renders the magnetic monopole of the dipolar spin ice a finite magnetic charge via the dumbbell picture even in the classical regime. For the octupolar spin ice, however, a zero magnetic charge is expected from this mechanism in the classical regime. We expect this smoking-gun observation to resolve the debate on the nature of Ce$_2$Sn$_2$O$_7$, and more broadly, this work may inspire further experiments and thoughts on the Ce-pyrochlore spin liquids, Nd-pyrochlore antiferromagnets, Er-based spinels, and the distinct properties of the emergent quasiparticles in various symmetry enriched topological phases.

cond-mat.str-el↗

arXiv2026

Phononic enhancement and detection of hidden spin-nematicity and dynamics in quantum magnets

The spin nematic phase, characterized by long-range order of spin quadrupole moments in the absence of dipolar magnetism, presents a significant challenge for conventional experimental detection. We propose a novel method to detect this elusive order in quantum magnets with an illustration in the spin-1 triangular lattice Mott insulator. By integrating out the phonon degrees of freedom, we obtain a phase diagram with substantially enlarged regions for the spin-nematic and spin-nematic-supersolid phases. We then demonstrate that through the spin-lattice coupling, the emergence of spin nematic order imprints a distinctive signature onto the phonon spectra, providing a clear spectroscopic signature for the quadrupolar order accessible via Raman or inelastic X-ray scattering. Our formalism offers a direct and powerful method to uncover the hidden spin nematicity, opening a new pathway for diagnosing multipolar orders in quantum magnets.

cond-mat.mes-hall↗

arXiv2026

Magnetopological mechanics in Maxwell lattice frustrated Mott insulators

Topological boundary modes, a hallmark of quantum topological phases, remarkably occur in classical mechanical systems through an interesting correspondence with the quantum case. Here, we explore the Maxwell lattice frustrated Mott insulators and argue that the combination of the intrinsic spin-lattice coupling and the spin exchanges could induce the topological mechanics with topological boundary floppy modes in the phonon spectra. This mechanism and phenomena are dubbed magnetic topological mechanics, or, magnetopological mechanics in short. Focusing on a two-dimensional kagomé lattice spin model, we illustrate how strong spin-lattice coupling drives a spontaneous lattice distortion, resulting in the topological Maxwell lattice with the topological polarization and non-trivial phonon spectra. Moreover, the magnetic field, that directly changes the spin state, indirectly influences the lattice structure via the spin-lattice coupling, thereby providing a method to control the Maxwell lattice and the boundary modes. We expect this work to inspire interests in the Maxwell lattice Mott insulating materials and the coupling between lattices and electronic orders.

cond-mat.str-el↗

arXiv2025

Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice

Inspired by the recent progress on the Dirac spin liquid and the kagomé lattice antiferromagnets, we revisit the U(1) Dirac spin liquid on the kagomé lattice and consider the response of this quantum state to the weak magnetic field by examining the matter-gauge coupling. Even though the system is in the strong Mott insulating regime, the Zeeman coupling could induce the internal U(1) gauge flux with the assistance of the Dzyaloshinskii-Moriya interaction. In addition to the perturbatively-induced non-uniform flux from the microscopic interactions, the system spontaneously generates the uniform U(1) gauge flux in a non-perturbative fashion to create the spinon Landau levels and thus gains the kinetic energy for the spinon matters. Renormalized mean-field theory is employed to validate these two flux generation mechanisms. The resulting state is argued to be an ordered antiferromagnet with the in-plane magnetic order, and the gapless Goldstone mode behaves like the gapless gauge boson and the spinons appear at higher energies. The dynamic properties of this antiferromagnet, and the implication for other matter-gauge-coupled systems are discussed.

cond-mat.str-el↗

arXiv2025

Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets

Nematicity plays an important role in strongly correlated electron systems. We explore the spin nematicity of a spin-1 kagome lattice antiferromagnet with the bilinear-biquadratic model and single-ion anisotropy using a generalized semiclassical approximation and Monte Carlo simulations. We reveal a rich ground state phase diagram, characterized by two main regions: a pure spin nematic phase and a region featuring the coexistence of a classical spin liquid and ferroicities for both dipolar and quadrupolar moments. The thermal fluctuation melts the spin nematic order into a critical phase with a quasi-long-range nematic order. Due to the fluctuating vortices of the spin nematic order, this critical phase further undergoes a nematic Berezinskii-Kosterlitz-Thouless transition to a paramagnetic phase, marked by an anomalous stiffness jump. Additionally, the single-ion anisotropy leads to weak ferromagnetism, resulting in spontaneous time-reversal symmetry breaking at very low temperatures. Remarkably, both two types of ferroic ordering are accompanied by classical spin liquid behaviors. Our results provide an intriguing glimpse into the interplay between geometric frustration and intertwining spin orders with different ranks and are expected to stimulate further studies on spin-1 systems and relevant materials.

cond-mat.str-el↗

arXiv2025

Multipolar ferroelectricity in the Mott regime

Ferroelectricity has been one major focus in modern fundamental research and technological application. We consider the physical origin of improper ferroelectricity in Mott insulating materials. Beyond the well-known Katsura-Nagaosa-Balatsky's inverse Dzyaloshinskii-Moriya mechanism for the noncollinearly ordered magnets, we point out the induction of the electric polarizations in the multipolar ordered Mott insulators. Using the multiflavor representation for the multipolar magnetic moments, we can show the crossover or transition from the pure inverse Dzyaloshinskii-Moriya mechanism to the pure multipolar origin for the ferroelectricity, and also incorporate the intermediate regime with the mixture of both origins. We expect our results to inspire a reexamination of ferroelectricity in the multipolar-ordered magnets.

cond-mat.str-el↗

arXiv2025

Triplon Bose-Einstein condensation and proximate magnetism in dimerized antiferromagnets

Dimerized quantum magnets provide a useful arena for novel quantum states and phases transitions with the singlet-triplet type of triplon excitations. Here we study the triplon physics and the Bose-Einstein condensation in two isostructural dimerized antiferromagnets $A$Cu(SeO$_3$)$_2$ ($A$ = Hg, Cd). With the systematic measurements, we demonstrate a dimer singlet ground state in HgCu(SeO$_3$)$_2$ with a triplon gap $\sim$ 7.9 K and a triplon Bose-Einstein condensation with an antiferromagnetic order in CdCu(SeO$_3$)$_2$ below 4.4 K. We further adopt the bond-operator technique and show that the elemental replacement preserves the Hamiltonian and allows the study in a unified theoretical framework with tunable interdimer and intradimer interactions on the opposite sides of the quantum critical point. With the peculiar Cu$_2$O$_8$ dimer configuration and effective ferromagnetic interdimer interaction, $A$Cu(SeO$_3$)$_2$ is distinguished from other $S$ = 1/2 dimerized antiferromagnets. Our results represent a global understanding of the magnetic ground states as well as the magnetic transitions in the dimerized magnets of this unusual crystal structure.

cond-mat.str-el↗

arXiv2024

Z$_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator

The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological orders among the ultracold Rydberg atom arrays, we consider the possibility of searching for topological orders among the dipolar quantum magnets and polar molecules with a kagomé lattice geometry. Together with other quantum interactions such as the transverse field, the dipolar interaction endows the kagomé system with a similar structure as the Balents-Fisher-Girvin model and thus fosters the emergence of the $\mathbb{Z}_2$ topological orders. We construct a $\mathbb{Z}_2$ lattice gauge theory to access the topological ordered phase and describe the spinon and vison excitations for the $\mathbb{Z}_2$ topological orders. We explain the spectroscopic consequences for various quantum phases as well as the experimental detection. We further discuss the rare-earth kagomé magnets, ultracold polar molecules, and cluster Mott insulators for the physical realization.

cond-mat.str-el↗