Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 1211.5623

Floquet topological insulators

Jérôme Cayssol·Balázs Dóra·Ferenc Simon·Roderich Moessner
View original source ↗Read source document ↗Export metadata ↓

Abstract

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which provides topological protections. While conventional tools (pressure, doping etc.) to modify the band structure are available, time periodic perturbations can provide tunability by adding time as an extra dimension enhanced to the problem. In this short review, we outline the recent research on topological insulators in non equilibrium situations. Firstly, we introduce briefly the Floquet formalism that allows to describe steady states of the electronic system with an effective time-independent Hamiltonian. Secondly, we summarize recent theoretical work on how light irradiation drives semi-metallic graphene or a trivial semiconducting system into a topological phase. Finally, we show how photons can be used to probe topological edge or surface states.

Explore related subjects

cond-mat.mes-hall

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Jérôme Cayssol, Balázs Dóra, Ferenc Simon, Roderich Moessner. 2012-12-13. Floquet topological insulators. https://doi.org/10.1002/pssr.201206451

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Quantum Geometric Injection and Shift Optical Forces Drive Coherent Phonons

We develop a gauge-invariant quantum-geometric theory of light-induced Raman forces driving coherent lattice dynamics in solids. We show that the resonant interband response separates into injection and shift forces, providing the lattice analogue of injection and shift photocurrents. Crucially, the electronic quantum metric and Berry curvature directly govern these forces, weighted by distinct electron--phonon quantities. The injection force is controlled by the quantum geometric tensor and differences between band-diagonal electron--phonon couplings, producing the resonant displacive response. The shift force is a resonant impulsive response governed by quantum geometry and a phononic shift vector arising from interband electron--phonon coherence. We derive polarization selection rules, symmetry constraints, and temporal signatures. Applied to interlayer shear phonons in a bilayer Haldane model, the theory predicts tunability with optical frequency, topology, electronic temperature, and current-induced symmetry breaking. These results establish a quantum-geometric framework for coherent lattice dynamics and identify coherent phonons as experimentally accessible signatures of electronic quantum geometry in quantum materials.

cond-mat.mes-hall↗
arXiv2026

Magneto-oscillations, nonlinearity, and nonreciprocity of Coulomb drag in quantum circuits

We consider the problem of Coulomb drag in interactively coupled quantum circuits built of adiabatic constrictions: quantum point contacts and short quantum-wire channels. The interplay of spatial confinement and magnetic field leads to a rich oscillatory response of the drag current as a function of gate voltage and magnetic field: drag peaks track the depopulation of magnetoelectric subbands, are asymptotically periodic in inverse field, and their visibility is controlled by the competition of temperature with the field-sharpened tunneling width of the constriction. We derive a closed expression for the linear drag conductance whose interaction kernel simplifies dramatically in the experimentally relevant limit of a long thermal length compared with the range of the interwire coupling, investigate the drag in the nonlinear regime, where the drag current measures the transconductance of the drive channel at any field, and discuss physically motivated models of dissipation-induced nonreciprocity of the drag signal. Extensions accounting for Zeeman splitting, interaction renormalization of the barrier transmission, backscattering at high field, and the frequency structure of the circuit coupling delineate how each mechanism imprints itself on the temperature dependence and lineshapes of the drag oscillations.

cond-mat.mes-hall↗
arXiv2026

Non-Adiabatic Spin-Induced Currents in Magnetic Weyl Semimetals

We theoretically study dc electric currents induced by rapid spin precession in noncentrosymmetric magnetic Weyl semimetals using the Floquet--Keldysh Green's-function formalism. The spin dynamics act as a time-dependent chiral gauge field and the geometric structure of electric currents is expressed in terms of the Berry curvature, the quantum metric, and the shift vector. For an isotropic Weyl cone, only an injection current is generated. This current scales quadratically with the driving frequency and linearly with the relaxation time associated with coupling to a fermionic bath. We further show that a finite Weyl-cone tilt modifies the available interband-transition phase space, smooths the frequency dependence of the current, and allows for a shift current and another type of injection current, both of which flow in directions determined by the tilt and the direction of the precession. A finite net current can remain after summing contributions from Weyl nodes of opposite chiralities when their transition phase spaces are inequivalent.

cond-mat.mes-hall↗