arXiv subjects

L. L. Tao

Publications and source records attributed to L. L. Tao.

14 recordsLinked to original sources

arXiv2026

Spin relaxation in $X$-wave magnets with $X=p, d, f, g, i$

Spin relaxation results in the spin decoherence and a finite spin lifetime, which are detrimental to spintronic devices. To achieve a long spin lifetime desirable for spintronic devices, elucidating the spin relaxation mechanism and factors influencing the spin lifetime is of vital importance. Here, we investigate the spin relaxation in $X$-wave magnets ($X=p, d, f, g, i$) with Rashba spin-orbit coupling within the framework of D'yakonov-Perel' mechanism. We calculate the general matrix of the spin relaxation time for an arbitrary Néel vector direction of the $X$-wave magnet. As an illustration, we study the spin relaxation for the Néel vector along the $[001]$ direction. It is found that the reciprocal spin-relaxation-time matrices are anisotropic and diagonal for the $d$-, $f$-, $g$- and $i$-wave magnets. For the $p$-wave magnet, we derive the analytical expressions for the temporal evolution of spins. Moreover, the spin relaxation rate is proportional to the momentum relaxation time, Rashba and altermagnetic spin-split strengths for all $X$-wave magnets. Our results shine more light on the fundamental understanding of the spin relaxation mechanism in $X$-wave magnets.

cond-mat.other↗

arXiv2026

Highly anisotropic nonrelativistic charge-to-spin conversion in altermagnets

The charge-to-spin conversion provides an efficient way to manipulate the magnetization by electrical means. In this work, we report on a study on the anisotropic nonrelativistic charge-to-spin conversion response to the current direction in altermagnets. We prove that the spin conductivity dictating the charge-to-spin conversion is equivalent to the spin-polarized conductivity difference in the nonrelativistic limit. Based on the general spin-group analysis, we derive analytical expressions for the anisotropic conversion ratio and identify its maximum value. We then exemplify those phenomena in representative altermagnets based on the density functional theory calculations. The highly anisotropic charge-to-spin conversion efficiency, varying from zero to several tens of percent, was demonstrated. Our work shines more light on the exploration of the nonrelativistic generation of spin currents in altermagnets.

cond-mat.other↗

arXiv2026

Electric-Field Switchable Magnetic Spin Hall Effect

It is established that the polarity of a time-reversal-odd ($\mathcal{T}$-odd) physical quantity can be reversed under the $\mathcal{T}$ operation. Here, we use the spin-group analysis to directly demonstrate that the $\mathcal{T}$-odd magnetic spin Hall effect in ferroelectric altermagnets can be switchable by electric fields beyond the $\mathcal{T}$ operation. This arises from the ferroelectric switching of the nonrelativistic spin splitting, which swaps the roles of spin up and down channels in the reciprocal space. As a result, the $\mathcal{T}$-odd spin conductivity that are proportional to the spin-polarized conductivity difference reverses its polarity upon polarization switching. We identify spin-group operations to switch both the polarization and the magnetic spin Hall effect simultaneously for non-centrosymmetric spin point groups. Then, we exemplify those phenomena in the ferroelectric altermagnet VOI$_2$ monolayer based on density functional theory calculations and an effective Hamiltonian analysis. Our findings not only provide novel strategies to switch the magnetic spin Hall effect using the dissipation-free electric field but also open a promising avenue for electrically programmable spintronic devices.

cond-mat.other↗

arXiv2026

Exact solution for a periodically driven magnetic multilayer system

Periodic driving serves as an effective method for controlling the properties of physical systems. Called "Floquet engineering," it is a broad field of theoretical and experimental activity. Whereas original Floquet theory was proposed to a system of ordinary differential equations, the quantum systems with time-dependent potential require using partial differential equations. Among different methods of analysis of such systems, time series is a most common one. Though general scheme was developed in a number of works, its application to specific problems often faces significant difficulties. In particular, the class of the problems describing magnetic multilayers with time-dependent potential (e.g., rotating magnetization of some of the layers) leads to significant complication of the problem due to two-component wave function and matching conditions at the interfaces. Taking as an example a two-layer system containing magnetic layer with rotating magnetization, we construct a class of solution containing arbitrary but finite number of the terms. The structure of the solution is analyzed. In particular, we show that boundary conditions, which seem a natural generalization of that for a stationary problem, cannot be imposed in the case of rotating magnetizations.

math-ph↗

arXiv2025

Magnetic control of nonlinear transport induced by the quantum metric

The quantum geometry plays a crucial role in the nonlinear transport of quantum materials. Here, we use the Boltzmann transport formalism to study the magnetic control of nonlinear transport induced by the quantum metric in two-dimensional systems with different types of spin-orbit coupling (SOC). It is shown that the nonlinear conductivity is strongly dependent on the direction of a field and reveals significant spatial anisotropy. Moreover, the field-direction dependent relations are distinct for different SOCs. In addition, it is demonstrated that the contributions from the quantum metric and Drude mechanism are distinguishable due to their opposite signs or distinct anisotropy relations. We further derive the analytical formulas for the anisotropic nonlinear conductivity, in exact agreement with numerical results. Our work shines more light on the interplay between the nonlinear transport and quantum geometry.

cond-mat.mes-hall↗

arXiv2025

Anisotropic nonlinear transport in two-dimensional ferroelectrics

The longitudinal nonlinear response plays a crucial role in the nonreciprocal charge transport and may provide a simple electrical means to probe the spin-orbit coupling, magnetic order and polarization states, etc. Here, we report on a study on the polarization and magnetic field control of longitudinal nonlinear transport in two-dimensional (2D) ferroelectrics with in-plane polarization. Based on the Boltzmann transport theory, we first study that using a general Hamiltonian model and show that the nonlinear conductivity can be significantly tuned by the polarization and magnetic field. In addition, the nonlinear conductivity reveals a strong spatial anisotropy. We further derive the analytical formulas for the anisotropic nonlinear conductivity in exact accordance with numerical results. Then, we exemplify those phenomena in the 2D ferroelectric SnTe monolayer in the presence of an external magnetic field based on the density functional theory calculations. It is also revealed that the polarity of nonlinear conductivity is locked to the direction of the polarization, thus pointing to the possibility of the nonlinear detection of polarization states. Our work uncovers intriguing features of the longitudinal nonlinear transport in 2D ferroelectrics and provides guidelines for designing the polarization control of rectifying devices.

cond-mat.mes-hall↗

arXiv2025

Anisotropic spin-polarized conductivity in collinear altermagnets

The altermagnet exhibits the nonrelativistic spin splitting that enables all-electrical generation of spin-polarized currents beyond the spin-orbit coupling. Here, we report on a study on the anisotropic spin-polarized conductivity in collinear altermagnets. Based on the Boltzmann transport theory, we first study this effect using the general group-theoretical analysis and identify the spin point groups sustaining the finite spin polarization defined in terms of spin-polarized conductivity. We show that the spin polarization vanishes along any direction for the $g$-wave and $i$-wave altermagnets while the spin polarization is significantly anisotropic for the $d$-wave altermagnet. We further derive the analytical expressions for the anisotropic spin polarization in the $d$-wave altermagnets. Then, we exemplify those phenomena in several representative altermagnets based on the density functional theory calculations. Our work enriches the altermagnetic spintronics and paves the practical way to produce large spin polarization in collinear altermagnets.

cond-mat.mtrl-sci↗

arXiv2024

Accounting all contributions for the Van Vleck paramagnetism and the Langevin diamagnetism from first principles: application to diamond

A general method for calculating magnetic susceptibility ($χ$) in dielectrics within a single choice of magnetic gauge for the whole crystal is presented. On the basis of the method, accounting for all contributions to the Van Vleck paramagnetism and Langevin (Larmore) diamagnetism, a full-scale ab initio calculation of $χ$ in diamond is performed. Unfamiliar contributions to $χ$ includes a Van Vleck contribution from the interstitial region and an offset contribution from the muffin-tin (MT) sphere, appearing due to the change of the MT-sphere magnetic moment when the sphere is displaced from the origin. Although the Langevin diamagnetism explicitly depends on the choice of the origin, its sum with the Van Vleck term remains invariant, which is demonstrated on the basis of the gauge invariance of the magnetic vector potential. The derived expressions have been applied to ab initio calculations of magnetic susceptibility of the crystalline diamond within the linear augmented plane wave method (LAPW). With the diamond unit cell having the inversion symmetry, the magnetic (Van Vleck) calculations require the irreducible part of the Brillouin zone accounting for half of the whole zone, i.e. 24 times larger than that in the absence of magnetic field. Investigating possible anisotropy of $χ$, we calculate it for 74 different directions of H (belonging to Lebedev surface grid points), and demonstrate that the actual value of $χ$ remain isotropic. The obtained volume magnetic susceptibility in diamond lies in the range $16.27-16.72 (with the Langevin contribution -39.22-39.94 and the Van Vleck contribution -22.94-23.22), in units 10^{-7}, which compares well with the experimental data and other calculations.

cond-mat.mtrl-sci↗

arXiv2024

A possible spin Jahn-Teller material: ordered pseudobrookite FeTi2O5

We investigated the spin-lattice coupling in orthorhombic pseudobrookite FeTi2O5 single crystal with highly ordered $ Fe^{2+} / Ti^{4+}$ occupation, which consists of quasi-1D S=2 chains running along a-axis. Both the magnetization and specific heat measurements confirm that the antiferromagnetic phase transition of FeTi2O5 occurs at TN = 42 K. The structural distortions were also observed around TN in the thermal expansion $ ΔL / L (T)$ data. Moreover, the magnetic field was found to strongly affect the thermal expansion both along chains and in the perpendicular direction clearly signaling a substantial magnetoelastic coupling, which was recently proposed to be the origin of a rare spin Jahn-Teller effect, when frustration is lifted via additional lattice distortions. Experimentally observed change in the thermal conductivity slope around TN is usually associated with the orbital ordering, but DFT+U calculations do not detect modification of the orbital structure across the transition. However, the first-principles calculation results confirm that FeTi2O5 is a quasi-1D magnet with a ratio of frustrating inter-chain to intra-chain exchanges $ J' / J = 0 . 0 3$ and a substantial single-ion anisotropy (A = 4K) of easy-axis type making this material interesting for studying quantum criticality in transverse magnetic fields.

cond-mat.str-el↗

arXiv2019

Tunneling anomalous Hall effect in a ferroelectric tunnel junction

We report on a theoretical study on the tunneling anomalous Hall effect (TAHE) in a ferroelectric tunnel junction (FTJ), resulting from spin-orbit coupling (SOC) in the ferroelectric barrier. For ferroelectric barriers with large SOC, such as orthorhombic HfO2 and BiInO3, we predict values of the tunneling anomalous Hall conductivity (TAHC) measurable experimentally. We demonstrate strong anisotropy in TAHC depending on the type of SOC. For the SOC with equal Rashba and Dresselhaus parameters, we predict the perfect anisotropy with zero TAHC for certain magnetization orientations. The TAHC changes sign with ferroelectric polarization reversal providing a new functionality of FTJs. Conversely, measuring the TAHC as a function of magnetization orientation offers an efficient way to quantify the type of SOC in the insulating barrier. Our results provide a new insight into the TAHE and open avenues for potential device applications.

cond-mat.mes-hall↗

arXiv2018

Persistent spin texture enforced by symmetry

Persistent spin texture (PST) is the property of some materials to maintain a uniform spin configuration in the momentum space. This property has been predicted to support an extraordinarily long spin lifetime of carriers promising for spintronics applications. The PST is known to emerge when the strengths of two dominant spin-orbit couplings, the Rashba and linear Dresselhaus, are equal. This condition, however, is not trivial to achieve and requires tuning the Rashba and Dresselhaus parameters, as has been demonstrated with semiconductor quantum-well structures. Here we predict that there exist a class of non-centrosymmetric bulk materials where the PST is enforced by the non-symmorphic space group symmetry of the crystal. Around certain high symmetry points in the Brillouin zone, the sublattice degrees of freedom impose a constraint on the effective spin-orbit field, which remains independent of the momentum orientation and thus maintains the PST. We illustrate this behavior using density-functional theory calculations for a handful of promising candidates accessible experimentally. Among them is the ferroelectric oxide BiInO3-a wide band gap semiconductor which sustains a PST around the conduction band minimum. Our results broaden the range of materials, which can be employed in spintronics.

cond-mat.mtrl-sci↗

arXiv2018

Two-dimensional type-II Dirac fermions in a LaAlO3/LaNiO3/LaAlO3 quantum well

The type-II Dirac fermions that are characterized by a tilted Dirac cone and anisotropic magneto-transport properties have been recently proposed theoretically and confirmed experimentally. Here, we predict the emergence of two-dimensional type-II Dirac fermions in LaAlO3/LaNiO3/LaAlO3 quantum-well structures. Using first-principles calculations and model analysis, we show that the Dirac points are formed at the crossing between the dx2-y2 and dz2 bands protected by the mirror symmetry. The energy position of the Dirac points can be tuned to appear at the Fermi energy by changing the quantum-well width. For the quantum-well structure with a two-unit cell thick LaNiO3 layer, we predict the coexistence of the type-II Dirac points and the Dirac nodal line. The results are analyzed and interpreted using a tight-binding model and symmetry arguments. Our findings offer a practical way to realize the 2D type-II Dirac fermions in oxide heterostructures.

cond-mat.mtrl-sci↗

arXiv2017

Reversible spin texture in ferroelectric HfO2

Spin-orbit coupling effects occurring in non-centrosymmetric materials are known to be responsible for non-trivial spin configurations and a number of emergent physical phenomena. Ferroelectric materials may be especially interesting in this regard due to reversible spontaneous polarization making possible for a non-volatile electrical control of the spin degrees of freedom. Here, we explore a technologically relevant oxide material, HfO2, which has been shown to exhibit robust ferroelectricity in a non-centrosymmetric orthorhombic phase. Using theoretical modelling based on density-functional theory, we investigate the spin-dependent electronic structure of the ferroelectric HfO2 and demonstrate the appearance of chiral spin textures driven by spin-orbit coupling. We analyze these spin configurations in terms of the Rashba and Dresselhaus effects within the k.p Hamiltonian model and find that the Rashba-type spin texture dominates around the valence band maximum, while the Dresselhaus-type spin texture prevails around the conduction band minimum. The latter is characterized by a very large Dresselhaus constant αD = 0.578 eV Å, which allows using this material as a tunnel barrier to produce tunneling anomalous and spin Hall effects that are reversible by ferroelectric polarization.

cond-mat.mtrl-sci↗

arXiv2016

All-Electrical Generation of Spin-Polarized Currents in Quantum Spin Hall Insulators

The control and generation of spin-polarized currents (SPCs) without magnetic materials and external magnetic field is a big challenge in spintronics and normally requires spin-flip mechanism. In this work, we propose a novel method to control and generate SPCs in stanene nanoribbons in the quantum spin Hall (QSH) insulator regime by all electrical means without spin-flip mechanism. This is achieved with intrinsic spin-orbit coupling in stanene nanoribbons by tuning the relative phase of spin up and down electrons using a gate voltage, which creates a time delay between them thereby producing alternative SPCs driven by ac voltage. The control and generation of SPCs are demonstrated numerically for ac transport in both transient and ac regime. Our results are robust against edge imperfections and generally valid for other QSH insulators such as silicene and germanene, etc. These findings establish a novel route for generating SPCs by purely electrical means and open the door for new applications of semiconductor spintronics.

cond-mat.mes-hall↗