Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions

• URL: http://arxiv.org/abs/2208.02972v2
• Date: Fri, 27 Sep 2024 15:07:54 GMT
• Title: Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Authors: Zheng-Yang Zhuang, Zhongbo Yan,
• Abstract summary: Three-dimensional Hopf insulators are a class of topological phases beyond the tenfold-way classification. The critical point separating two rotation-invariant Hopf insulator phases with distinct Hopf invariants is quite different from the usual Dirac-type or Weyl-type critical points. Close to such Berry-dipole transitions, we find that the extrinsic and intrinsic nonlinear Hall conductivity tensors in the weakly doped regime are characterized by two universal functions of the ratio between doping level and bulk energy gap.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Three-dimensional Hopf insulators are a class of topological phases beyond the tenfold-way classification. The critical point separating two rotation-invariant Hopf insulator phases with distinct Hopf invariants is quite different from the usual Dirac-type or Weyl-type critical points and uniquely characterized by a quantized Berry dipole. Close to such Berry-dipole transitions, we find that the extrinsic and intrinsic nonlinear Hall conductivity tensors in the weakly doped regime are characterized by two universal functions of the ratio between doping level and bulk energy gap, and are directly proportional to the change in Hopf invariant across the transition. Our work suggests that the nonlinear Hall effects display a general-sense quantized behavior across Berry-dipole transitions, establishing a correspondence between nonlinear Hall effects and Hopf invariant.

Related papers

• Non-Abelian Hopf-Euler insulators [0.0]
  A class of non-Abelian topological insulators in three dimensions carry a single bulk Hopf index protected by insulator ($mathcalPT$) inversion symmetry. Such systems naturally realize nodal structures in the three-dimensional Brillou zonein, providing a physical manifestation of the linking number described by the Hopf invariant. Our findings pave the way for novel experimental realizations of real-space quantum-geometry.
  arXiv  Detail & Related papers  (2024-05-27T16:07:47Z)
• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets [0.0]
  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.
  arXiv  Detail & Related papers  (2024-02-05T02:48:01Z)
• Domain formation and universally critical dynamics through phase separation in two-component Bose-Einstein condensates [5.699862689734732]
  We focus on the non-equilibrium universal dynamics of the miscible-immiscible phase transition with both linear and nonlinear quenching types. By analyzing the Bogoliubov excitations, we establish a power-law relationship between the domain correlation length, the phase transition delay, and the quench time. Through real-time simulations of phase transition dynamics, the formation of domain defects and the delay of phase transition in non-equilibrium dynamics are demonstrated.
  arXiv  Detail & Related papers  (2023-11-14T07:25:47Z)
• Non-Hermitian Aubry-André-Harper model with short- and long-range p-wave pairing [14.37149160708975]
  We investigate a non-Hermitian Aubry-Andr'e-Harper model with short-range, as well as long-range p-wave pairing. We observe the emergence of Majorana zero modes in the case of short-range pairing, whereas massive Dirac modes emerge in the case of long-range pairing.
  arXiv  Detail & Related papers  (2023-11-08T11:14:10Z)
• Dispersive Non-reciprocity between a Qubit and a Cavity [24.911532779175175]
  We present an experimental study of a non-reciprocal dispersive-type interaction between a transmon qubit and a superconducting cavity. We show that the qubit-cavity dynamics is well-described in a wide parameter regime by a simple non-reciprocal master-equation model.
  arXiv  Detail & Related papers  (2023-07-07T17:19:18Z)
• Adiabatic Deformations of Quantum Hall Droplets [0.0]
  We consider area-preserving deformations of the plane, acting on electronic wavefunctions through "quantomorphisms" We show that adiabatic sequences of such transformations produce Berry phases that can be written in closed form.
  arXiv  Detail & Related papers  (2022-12-25T17:11:47Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Manipulating Generalized Dirac Cones In Quantum Metasurfaces [68.8204255655161]
  We consider a collection of single quantum emitters arranged in a honeycomb lattice with subwavelength periodicity. We show that introducing uniaxial anisotropy in the lattice results in modified dispersion relations.
  arXiv  Detail & Related papers  (2022-03-21T17:59:58Z)
• Observation of spin-tensor induced topological phase transitions of triply degenerate points with a trapped ion [13.879676947886619]
  Triply degenerate points (TDPs) can support novel quasiparticles possessing effective integer spins. We experimentally explore the transitions between different types of TDPs driven by spin-tensor--momentum couplings.
  arXiv  Detail & Related papers  (2022-01-25T07:16:31Z)
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits [20.002319486166016]
  We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction.
  arXiv  Detail & Related papers  (2021-11-05T13:17:49Z)
• Revealing the non-adiabatic and non-Abelian multiple-band effects via anisotropic valley Hall conduction in bilayer graphene [1.347733333991357]
  Under finite electric fields, non-adiabatic interband transition processes are expected to play significant roles in the associated Hall conduction. We show that the contribution arising from non-adiabatic transitions around the bands near the Fermi energy to the Hall current is not only quantitatively about an order-of-magnitude larger than the contribution due to adiabatic inter-manifold transition with the non-Abelian Berry curvatures.
  arXiv  Detail & Related papers  (2021-04-29T07:00:50Z)

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.