Bloch oscillations in the spin-1/2 XXZ chain
- URL: http://arxiv.org/abs/2106.10695v1
- Date: Sun, 20 Jun 2021 13:51:38 GMT
- Title: Bloch oscillations in the spin-1/2 XXZ chain
- Authors: Yankang Liu, Yohei Fuji, Haruki Watanabe
- Abstract summary: Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations.
We revisit Bloch oscillations in strongly interacting systems.
We estimate the strength of the electric field required to observe such a behavior using the Landau--Zener formula.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Under a perfect periodic potential, the electric current density induced by a
constant electric field may exhibit nontrivial oscillations, so-called Bloch
oscillations, with an amplitude that remains nonzero in the large system size
limit. Such oscillations have been well studied for nearly noninteracting
particles and observed in experiments. In this work, we revisit Bloch
oscillations in strongly interacting systems. By analyzing the spin-1/2 XXZ
chain, which can be mapped to a model of spinless electrons, we demonstrate
that the current density at special values of the anisotropy parameter
$\Delta=-\cos(\pi/p)$ ($p=3,4,5,\cdots$) in the ferromagnetic gapless regime
behaves qualitatively the same as in the noninteracting case ($\Delta=0$) even
in the weak electric field limit. When $\Delta$ deviates from these values, the
amplitude of the oscillation under a weak electric field is suppressed by a
factor of the system size. We estimate the strength of the electric field
required to observe such a behavior using the Landau--Zener formula.
Related papers
- Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems [0.0]
We show that although the energy levels can be complex, they are still equally spaced by a real Bloch frequency.
We propose two types of dimerized non-Hermitian systems to demonstrate our results.
arXiv Detail & Related papers (2024-04-03T02:06:50Z) - Ultracold Neutrons in the Low Curvature Limit: Remarks on the
post-Newtonian effects [49.1574468325115]
We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime.
We calculate the next-to-leading order corrections to the neutron's energy spectrum.
While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
arXiv Detail & Related papers (2023-12-30T16:45:56Z) - Divergent absorption from spin-orbit interaction in distorted Landau
levels [0.0]
Effect of spin-orbit (and Darwin) interaction on a 2D electron gas subject to a radial, inhomogeneous $1/r$-magnetic field is discussed analytically.
Numerical calculation of the absorptive spin-orbit spectra show for an ideal InSb electron gas a behaviour that is dominated by the localized (atomic) part of the distorted Landau levels.
We show analytically the emergence of a discrete Rydberg-like band structure that obeys these symmetry properties.
arXiv Detail & Related papers (2023-03-02T14:09:38Z) - The electrodynamic origin of the wave-particle duality [0.0]
A derivation of pilot waves from electrodynamic self-interactions is presented.
We abandon the current paradigm that describes electrodynamic bodies as point masses.
arXiv Detail & Related papers (2022-10-14T09:27:47Z) - Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall.
We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z) - Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
We apply the spin current density functional theory to the quantum spin-Hall phase.
We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
arXiv Detail & Related papers (2022-08-29T20:46:26Z) - In-Gap Band Formation in a Periodically Driven Charge Density Wave
Insulator [68.8204255655161]
Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium.
We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
arXiv Detail & Related papers (2022-05-19T13:28:47Z) - New Class of Landau Levels and Hall Phases in a 2D Electron Gas Subject
to an Inhomogeneous Magnetic Field: An Analytic Solution [0.0]
Solution provides access to many properties of a two-dimensional, non-interacting, electron gas in the thermodynamic limit.
Radially distorted Landau levels can be identified as well as magnetic field induced density and current oscillations close to the magnetic impurity.
arXiv Detail & Related papers (2022-01-13T16:52:02Z) - Study of electronic properties, Magnetization and persistent currents in
a mesoscopic ring by controlled curvature [1.7637225649382287]
We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields.
We write the Schr"odinger equation and use the thin-layer quantization procedure to calculate the wavefunctions and the energy spectrum.
arXiv Detail & Related papers (2020-05-03T00:10:41Z) - Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit.
We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront.
The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
arXiv Detail & Related papers (2020-03-09T21:27:02Z) - Spin current generation and control in carbon nanotubes by combining
rotation and magnetic field [78.72753218464803]
We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field.
By suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator.
arXiv Detail & Related papers (2020-01-20T08:54:56Z)
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.