Theory of anomalous magnetotransport from mass anisotropy

Zou, Liujun; Lederer, Samuel; Senthil, T.

doi:10.1103/physrevb.95.245135

Cited by 5 publications

(3 citation statements)

References 37 publications

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“…Since the timescale for amplitude modulation is orders of magnitude larger than the oscillation of the field, the position of the Weyl nodes is dictated by the frequency of the optical field, with small variations due to amplitude modulation. Similar experiments have been also proposed for the transport properties of other driven topological phases [20,[48][49][50]. The effective Floquet band close to the Weyl node can be experimentally confirmed using time-resolved photo emission spectrosocopy [36,47].…”

supporting

confidence: 59%

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

Menon¹,

Chowdhury²,

Basu³

2018

Phys. Rev. B

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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 quasi-energies. 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 non-linearly 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 of logarithmically with A 2 0 . 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.Weyl Semimetals (WSMs) have been identified as materials with nontrivial topological structure having a variety of physical properties stemming from a Hamiltonian possessing a gapless spectrum with at least one of the time reversal and inversion symmetries broken [1][2][3][4]. The minimal model, obtained by breaking time reversal symmetry, consists of a Dirac-like dispersion around two distinct points in the first Brillouin zone, where the conduction and the valence bands touch. These Weyl points or Weyl nodes are topological charges acting as a source or a sink for Berry curvature [2, 5, 6], as reflected by their occurrence in opposite chirality pairs, and by contrast, the inversion symmetry breaking minimal model requires four Weyl points [1, 4]. Such materials, classed as type-I WSMs, exhibit a number of phenomena including chiral magnetic waves [7], chiral anomaly induced plasmon modes [8], and chirality induced negative magneto resistance [9]. The addition of a SO(3,1) symmetry breaking term to the low energy Hamiltonian coupled to the momentum leads to a tilt in the dispersion. For sufficiently large tilts, it can be shown [1, 10] that a Lifshitz phase transition occurs, leading to a new phase i.e. type-II WSMs, with different physical properties. Type-I WSMs have a single Fermi surface, whereas in type-II WSMs, the Fermi surface splits into two, one each for electrons and holes, such that the density of states at each Weyl points is finite. Reports on the experimental realizations of type-I Weyl semimetals have been presented in [11, 12], * Electronic address: amenon@ucdavis.edu † Electronic address: debashreephys@g...

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supporting

confidence: 59%

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

Menon¹,

Chowdhury²,

Basu³

2018

Phys. Rev. B

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“…A small number of models attempting to explain the observed MR scaling have only recently started to emerge, and the present results should inform these studies. [19,20] Specifically, models of strange metal behavior that depend on Fermi surface details, like hot spots, are unlikely in light of the present results since they depend strongly on the relative direction of the Fermi velocity and the applied field. [21,22] On the other hand, models that begin from non-FL starting points, including SYK lattice models, [23] must find ways to include anisotropies in their magnetic response.…”

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confidence: 79%

Magnetoresistance Scaling Reveals Symmetries of the Strongly Correlated Dynamics in BaFe2(As1−xP

et al. 2018

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The phenomenon of T −linear resistivity commonly observed in a number of strange metals has been widely seen as evidence for the breakdown of the quasiparticle picture of metals. This study shows that a recently discovered H/T scaling relationship in the magnetoresistance of the strange metal BaFe2(As1−xPx)2, is independent of the relative orientations of current and magnetic field. Rather, its magnitude and form depend only on the orientation of the magnetic field with respect to a single crystallographic axis: the direction perpendicular to the magnetic iron layers. This finding suggests that the magnetotransport scaling does not originate from the conventional averaging or orbital velocity of quasiparticles as they traverse a Fermi surface, but rather from dissipation arising from two-dimensional correlations.

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“…Some are based on strong coupling and topological order [32], which give small Fermi pockets at low temperature which enlarge when temperature rises. The Fermi surface reconstruc-tion caused by charge ordering has also been considered [33,34]. Others are based on long-range fluctuations, either superconducting [35,36], antiferromagnetic [37][38][39], or related to a charge density wave order [40] which yield a large Fermi surface gapped at low temperature.…”

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confidence: 99%

Evolution of Hall resistivity and spectral function with doping in the SU(2) theory of cuprates

2017

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Recent transport experiments in the cuprate superconductors linked the opening of the pseudogap to a change in electronic dispersion [S. Badoux et al., Nature 531, 210 (2015)]. Transport measurements showed that the carrier density sharply changes from x to 1 + x at the pseudogap critical doping, in accordance with the change from Fermi arcs at low doping to a large hole Fermi surface at high doping. The SU(2) theory of cuprates shows that short-range antiferromagnetic correlations cause the arising of both charge and superconducting orders, which are related by an SU(2) symmetry. The fluctuations associated with this symmetry form a pseudogap phase. Here we derive the renormalised electronic propagator under the SU(2) dome, and calculate the spectral functions and transport quantities of the renormalised bands. We show that their evolution with doping matches both spectral and transport measurements.

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Theory of anomalous magnetotransport from mass anisotropy

Cited by 5 publications

References 37 publications

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

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

Magnetoresistance Scaling Reveals Symmetries of the Strongly Correlated Dynamics in BaFe2(As1−xP

Evolution of Hall resistivity and spectral function with doping in the SU(2) theory of cuprates

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