Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets

• URL: http://arxiv.org/abs/2402.02685v1
• Date: Mon, 5 Feb 2024 02:48:01 GMT
• Title: Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Authors: Zheng-Yang Zhuang, Zhongbo Yan
• Abstract summary: In this work, we consider honeycomb topological antiferromagets that are effectively described by a $mathcalPT$-symmetric antiferromagnetic Kane-Mele model. By varying the chemical potential, we find that the nonlinear Hall conductivity tensors exhibit kinks when the Fermi surface undergoes Lifshitz transitions. Our work shows that the two-dimensional honeycomb topological antiferromagnets are an ideal class of material systems with rich properties for the study of intrinsic nonlinear Hall effect.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Two-dimensional systems with honeycomb lattice are known to be a paradigmatic platform to explore the various types of Hall effects, owing to that the interplay of lattice geometry, spin-orbit coupling and magnetism can give rise to very rich features in the quantum geometry of wave functions. In this work, we consider honeycomb topological antiferromagets that are effectively described by a $\mathcal{PT}$-symmetric antiferromagnetic Kane-Mele model, and explore the evolution of its nonlinear Hall response with respect to the change of lattice anisotropy, chemical potential, and the direction of the N\'{e}el vector. Due to the $\mathcal{PT}$-symmetry, the leading-order Hall effect of quantum geometric origin is the intrinsic nonlinear Hall effect, which is a second-order effect of electric fields and is independent of the scattering time. We investigate the behavior of the intrinsic nonlinear Hall conductivity tensor across topological phase transitions driven by antiferromagnetic exchange field and lattice anisotropy and find that its components do not change sign, which is different from the extrinsic nonlinear Hall effect. In the weakly doped regime, we find that the intrinsic nonlinear Hall effect is valley-polarized. By varying the chemical potential, we find that the nonlinear Hall conductivity tensors exhibit kinks when the Fermi surface undergoes Lifshitz transitions. Furthermore, we find that the existence of spin-orbit coupling to lift the spin-rotation symmetry is decisive for the use of intrinsic nonlinear Hall effect to detect the direction of the N\'{e}el vector. Our work shows that the two-dimensional honeycomb topological antiferromagnets are an ideal class of material systems with rich properties for the study of intrinsic nonlinear Hall effect.

Related papers

• Magnetoresistance oscillations induced by geometry in a two-dimensional quantum ring [0.0]
  We consider a GaAs device having an average radius of $800hspace0.05cmtextnm$ in different regimes of subband occupation at non-zero temperature. We explore how the modified surface affects the Van-Hoove conductance singularities and the magnetoresistance interference patterns resulting from the Aharonov-Bohm oscillations of different frequencies.
  arXiv  Detail & Related papers  (2024-06-21T13:54:40Z)
• The quantum Hall effect under the influence of gravity and inertia: A unified approach [44.99833362998488]
  We examine how both the integer and the fractional quantum Hall effects behave under a combined influence of gravity and inertia. The general Hamiltonian for describing the combined effect of gravity, rotation and inertia on the electrons of a Hall sample is then built and the eigenstates are obtained.
  arXiv  Detail & Related papers  (2024-03-11T18:01:55Z)
• Ab-Initio Calculations of Nonlinear Susceptibility and Multi-Phonon Mixing Processes in a 2DEG-Piezoelectric Heterostructure [41.94295877935867]
  Solid-state elastic-wave phonons are a promising platform for a wide range of quantum information applications. We propose a general architecture using piezoelectric-semiconductor heterostructures. We show that, for this system, the strong third-order nonlinearity could enable single-phonon Kerr shift in an acoustic cavity.
  arXiv  Detail & Related papers  (2024-02-01T03:34:41Z)
• Unveiling the Quantum Toroidal Dipole in Nanosystems: Quantization, Interaction Energy, and Measurement [44.99833362998488]
  We investigate a quantum particle confined to a toroidal surface in the presence of a filiform current along the system's rotational axis. Our analysis reveals that the interaction between the particle and the current induces a non-zero toroidal dipole in the particle's stationary states.
  arXiv  Detail & Related papers  (2024-01-26T13:31:32Z)
• Study on the effects of anisotropic effective mass on electronic properties, magnetization and persistent current in semiconductor quantum ring with conical geometry [2.3353925077667923]
  We study a 2D mesoscopic ring with an anisotropic effective mass considering surface quantum confinement effects. We demonstrate through numerical analysis that the electronic properties, the magnetization, and the persistent current undergo significant changes due to quantum confinement and non-isotropic mass.
  arXiv  Detail & Related papers  (2023-11-16T12:40:08Z)
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach [0.9843385481559191]
  We demonstrate the existence of an intrinsic nonlinear boson thermal current, arising from the quantum metric. In contrast to the nonlinear Drude and nonlinear anomalous Hall contributions, the intrinsic nonlinear thermal conductivity is independent of the scattering timescale. Our findings highlight the significance of band geometry induced nonlinear thermal transport and motivate experimental probe of the intrinsic nonlinear thermal Hall response with implications for quantum magnonics.
  arXiv  Detail & Related papers  (2023-05-29T14:46:09Z)
• On the Su-Schrieffer-Heeger model of electron transport: low-temperature optical conductivity by the Mellin transform [62.997667081978825]
  We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain. Our goal is to show vias how the interband conductivity of this system behaves as the smallest energy bandgap tends to close.
  arXiv  Detail & Related papers  (2022-09-26T23:17:39Z)
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite [50.591267188664666]
  We reveal a rich ground state phase diagram even at the classical level. The presented model opens a new direction in the study of kagome antiferromagnets.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)
• Vacuum anomalous Hall effect in gyrotropic cavity [0.0]
  We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function.
  arXiv  Detail & Related papers  (2021-04-07T14:21:34Z)
• Quantum kinetics of anomalous and nonlinear Hall effects in topological semimetals [0.0]
  We present a systematic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature. In particular, this formulation is suitable for the study of nonlinear Hall effect and photogalvanic phenomena.
  arXiv  Detail & Related papers  (2021-02-10T19:00:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.