Photoinduced tunable anomalous Hall and Nernst effects in tilted Weyl semimetals using Floquet theory

2018/04/30 by Anirudha Menon, Debashree Chowdhury, Banasri Basu · 1 citation
Materials Science · Physics and Astronomy · #Band gap #Condensed matter physics #Conductivity #Electrode #Electron #Floquet theory #Graphene research and applications #Hamiltonian (control theory) #Kubo formula #Nernst effect #Nernst equation #Nonlinear system #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Semimetal #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.98.205109

published as Phys. Rev. B 98, 205109 (2018) · Accepted to PRB, 6 pages, 8 figures, 6 pages of supplementary material

openalex created_date 2018/04/13 · arxiv created 2018/10/03 · openalex publication_date 2018/11/05 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05

Abstract

In this paper, we discuss the effect of a periodically driving circularly polarized laser beam in the high-frequency limit, on the band structure and thermal transport properties of type-I and type-II Weyl semimetals (WSMs). We develop the notion of an effective Fermi surface stemming from the time-averaged Floquet Hamiltonian and discuss its effects on the steady-state occupation numbers of electrons and holes in the linearized model. In order to compute the transport coefficients averaged over a period of the incident laser source, we employ the Kubo formalism for Floquet states and show that the Kubo formula for the conductivity tensor retains its well-known form with the difference that the eigenstates and energies are replaced by the Floquet states and their quasienergies. We find that for type-I WSMs the anomalous thermal Hall conductivity grows quadratically with the amplitude A₀ of the U(1) gauge field for low tilt, while the Nernst conductivity remains unaffected. For type-II WSMs, the Hall conductivity decreases nonlinearly with A₀ due to the contribution from the physical momentum cutoff, required to keep finite electron and hole pocket sizes, and the Nernst conductivity falls off logarithmically with A₀². These results may serve as a diagnostic for material characterization and transport parameter tunability in WSMs, which are currently the subject of a wide range of experiments.

Citations

• Chern Semimetal and the Quantized Anomalous Hall Effect inHgCr2Se4
• Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems
• Time-reversal invariant realization of the Weyl semimetal phase
• Floquet chiral edge states in graphene
• Chiral magnetic wave
• Discovery of a Weyl fermion semimetal and topological Fermi arcs
• Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
• Off-resonant polarized light-controlled thermoelectric transport in ultrathin topological insulators
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP
• Anomalous Hall Effect in Type-I Weyl Metals

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