Magnetic square lattice with vertex coupling of a preferred orientation

• URL: http://arxiv.org/abs/2302.04601v1
• Date: Thu, 9 Feb 2023 12:31:53 GMT
• Title: Magnetic square lattice with vertex coupling of a preferred orientation
• Authors: Marzieh Baradaran, Pavel Exner, Ji\v{r}\'i Lipovsk\'y
• Abstract summary: We analyze a square lattice graph in a magnetic field. We show how the two effects compete; at the high energies the magnetic field dominates it.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum numerically for rational values of the flux per plaquette we show how the two effects compete; at the high energies it is the magnetic field which dominates restoring asymptotically the familiar Hofstadter's butterfly pattern.

Related papers

• Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields [54.010858975226945]
  We study the dynamics of EVBs in magnetic fields using exact solutions of the relativistic paraxial equation in magnetic fields. We provide a unified description of different regimes under generalized Gouy rotation, linking the Gouy phase to EVB rotation angles. This work offers new insights into the dynamics of EVBs in magnetic fields and suggests practical applications in beam manipulation and beam optics of vortex particles.
  arXiv  Detail & Related papers  (2024-07-03T03:29:56Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Cairo lattice with time-reversal non-invariant vertex couplings [0.0]
  We analyze the spectrum of a periodic quantum graph of the Cairo lattice form. We discuss two modifications of the model in which this is not the case. While different they both yield the same probability that a randomly chosen positive energy lies in the spectrum.
  arXiv  Detail & Related papers  (2023-12-21T13:18:07Z)
• Two-dimensional lattice with an imaginary magnetic field [0.0]
  We introduce a two-dimensional non-Hermitian lattice model with an imaginary magnetic field. We show that the energy spectrum does not converge as lattice size is made larger, which comes from the intrinsic nonperiodicity of the model. We also find an analog of the Aharonov-Bohm effect; the net change of the norm of the wave function upon adiabatically forming a closed path is determined by the imaginary magnetic flux enclosed by the path.
  arXiv  Detail & Related papers  (2023-07-27T05:50:24Z)
• Design of quasiperiodic magnetic superlattices and domain walls supporting bound states [0.0]
  We design quasiperiodic magnetic superlattices supporting bound states using Darboux transformations. We show that the generated quasiperiodic magnetic superlattices are also linked to domain walls, with the bound states keeping their nature in such a limit.
  arXiv  Detail & Related papers  (2023-06-08T18:14:41Z)
• Magnetic ring chains with vertex coupling of a preferred orientation [0.0]
  We discuss spectral properties of an periodic quantum graph consisting of an array of rings coupled either tightly or loosely through connecting links. The magnetic field influences the probability that an energy belongs to the spectrum in the tight-chain case, and also it can turn some spectral bands into infinitely eigenvalues.
  arXiv  Detail & Related papers  (2022-01-05T09:02:10Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Band strutures of hybrid graphene quantum dots with magnetic flux [0.0]
  We study the band structures of hybrid graphene quantum dots subject to a magnetic flux and electrostatic potential. For the valley $K'$, it is found that the magnetic flux strongly acts by decreasing the gap and shifting energy levels away from zero radius with some oscillations.
  arXiv  Detail & Related papers  (2021-07-30T12:04:13Z)
• 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)
• New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
  We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We modify the time-dependent Schr"odinger equation through a change of representation. The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
  arXiv  Detail & Related papers  (2020-11-23T17:29:31Z)
• Ferromagnetic Gyroscopes for Tests of Fundamental Physics [49.853792068336034]
  A ferromagnetic gyroscope (FG) is a ferromagnet whose angular momentum is dominated by electron spin polarization and that will precess under the action of an external torque. We model and analyze FG dynamics and sensitivity, focusing on practical schemes for experimental realization.
  arXiv  Detail & Related papers  (2020-10-17T07:13:50Z)

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.