Topological edge-state contributions to high-order harmonic generation
in finite flakes
- URL: http://arxiv.org/abs/2205.12810v2
- Date: Fri, 5 Aug 2022 12:45:55 GMT
- Title: Topological edge-state contributions to high-order harmonic generation
in finite flakes
- Authors: Christoph J\"ur{\ss} and Dieter Bauer
- Abstract summary: Edge states play a major role in the electron dynamics of topological insulators as they are the only conducting part in such materials.
We consider the Haldane model for a 2D topological insulator subjected to an intense laser field.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Edge states play a major role in the electron dynamics of topological
insulators as they are the only conducting part in such materials. In this
work, we consider the Haldane model for a 2D topological insulator, subjected
to an intense laser field. We compare the numerically simulated high-harmonic
generation (HHG) in the bulk of the Haldane model to HHG in corresponding
finite flakes with edge states present, and explain the differences. In
particular, peaks for energies below the bulk band gap appear in the spectra
for the finite flakes. The positions of these peaks show a strong dependence on
the size of the flakes, which can be explained using the dispersion relation
for the edge states.
Related papers
- Harmonic generation with topological edge states and electron-electron interaction [0.0]
The presence or absence of topological edge states in the Su-Schrieffer-Heeger (SSH) model has a huge impact on harmonic generation spectra.
We show that the huge difference in the harmonic yield between the trivial and the topological phase can be reproduced with few-level models employing only the many-body ground state and a few excited many-body states.
arXiv Detail & Related papers (2024-06-06T14:31:38Z) - Fragmented superconductivity in the Hubbard model as solitons in
Ginzburg-Landau theory [58.720142291102135]
Superconductivity and charge density waves are observed in close vicinity in strongly correlated materials.
We investigate the nature of such an intertwined state of matter stabilized in the phase diagram of the elementary $t$-$tprime$-$U$ Hubbard model.
We provide conclusive evidence that the macroscopic wave functions of the superconducting fragments are well-described by soliton solutions of a Ginzburg-Landau equation.
arXiv Detail & Related papers (2023-07-21T18:00:07Z) - Higher-order topological Peierls insulator in a two-dimensional
atom-cavity system [58.720142291102135]
We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state.
The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states.
Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
arXiv Detail & Related papers (2023-05-05T10:25:14Z) - Explicit derivation of the chiral and (generic) helical edge states for
the Kane-Mele model: Closed expressions for the wave function, dispersion
relation, and spin rotation [1.2999413717930817]
We focus on the Kane-Mele model with and without Rashba spin-orbit coupling as a well-known model.
We derive explicit expressions for the wave functions, energy dispersion relations, and the spin rotations of the (generic) helical edge states.
Our perturbative framework also allows deriving an explicit form for the rotation of the spins of the momentum edge states in the absence of axial spin symmetry.
arXiv Detail & Related papers (2022-12-22T07:41:11Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Mesoscopic fluctuations in superconductor-topological insulator
Josephson junctions [0.0]
We study mesoscopic fluctuations in the supercurrent of a Josephson junction consisting of a topological insulator microbridge between two conventional superconductors.
In the model, we account for the strong proximity effect when superconductors induce a gap in the spectrum of surface states as well as a magnetic field piercing the junction area.
arXiv Detail & Related papers (2022-05-04T18:21:34Z) - Theory of Superconductivity Mediated by Topological Phonons [0.0]
Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems.
We propose a theoretical framework for the possible superconducting phase in these materials.
We show that the superconducting critical temperature has a non-monotonic behaviour with respect to the phononic frequency in the Kramers-like point.
arXiv Detail & Related papers (2022-03-07T16:24:07Z) - Quantum correlations, entanglement spectrum and coherence of
two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
We study the ground state properties of the one-dimensional extended Hubbard model at half-filling.
In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
arXiv Detail & Related papers (2021-10-29T21:02:24Z) - Engineering the Radiative Dynamics of Thermalized Excitons with Metal
Interfaces [58.720142291102135]
We analyze the emission properties of excitons in TMDCs near planar metal interfaces.
We find suppression or enhancement of emission relative to the point dipole case by several orders of magnitude.
nanoscale optical cavities are a viable pathway to generating long-lifetime exciton states in TMDCs.
arXiv Detail & Related papers (2021-10-11T19:40:24Z) - Strong-field physics in three-dimensional topological insulators [0.0]
We focus on the process of non-perturbative high-order harmonic generation from the paradigmatic three-dimensional topological insulator bisselenide.
We analyze the contributions from the spin-orbit-coupled bulk states and the topological surface bands separately and reveal a major difference in how their harmonic yields depend on the ellipticity of the laser field.
arXiv Detail & Related papers (2020-08-04T01:24:00Z) - Dynamical solitons and boson fractionalization in cold-atom topological
insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities.
We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors.
Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z)
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.