Dynamic current-current susceptibility in three-dimensional Dirac and Weyl semimetals

Thakur, Anmol; Sadhukhan, Krishanu; Agarwal, Amit

doi:10.1103/physrevb.97.035403

Cited by 47 publications

(58 citation statements)

References 62 publications

(109 reference statements)

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“…In this article, the static spin–spin response function of Weyl semimetals was investigated analytically and numerically at zero temperature. The real part of the response scales with the logarithm of the absolute value of chemical potential and depends on a high‐energy cutoff which agrees with the result from the previous works . As

μ \to 0

, the response function diverges for q = 0, as expected from the diamagnetic response of Weyl semimetals, and tends to a constant otherwise as we show numerically.…”

Section: Discussionsupporting

confidence: 90%

“…Putting together the inter‐ and intraband contribution, the real part of the response function reads as

Re [Π^{a b} (q)] = \frac{q_{a} q_{b}}{12 π^{2} ℏ v_{normalF}} (\ln [\frac{W}{false| μ false|}] - \frac{14}{15})

for a ≠ b . This qualitatively agrees with the result from the previous studies . We also evaluated Equation numerically and compared with Equation .…”

Section: Explicit Formula Of the Response Function At Zero Temperaturesupporting

confidence: 89%

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Small Wavevector–Dependent Spin Susceptibility in Weyl Semimetals

Okvátovity

Simón

Dóra

2019

Physica Status Solidi (b)

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A detailed derivation of the off‐diagonal spin–spin correlation functions of 3D Weyl semimetals in the static ω = 0 limit for small wavevectors at zero temperature is presented. The real part of the spin correlation function is evaluated analytically and follows ln(W/|μ|) behavior, with W and μ being the high‐energy cutoff and chemical potential, respectively. Its imaginary part grows linearly with μ. These quantities are also evaluated using brute force numerical integration, and the numerical data agree convincingly with the analytical result. This work provides the starting point to determine the Knight shift of Weyl semimetals from the hyperfine coupling through the wavevector‐dependent susceptibility.

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μ \to 0

, the response function diverges for q = 0, as expected from the diamagnetic response of Weyl semimetals, and tends to a constant otherwise as we show numerically.…”

Section: Discussionsupporting

confidence: 90%

“…Putting together the inter‐ and intraband contribution, the real part of the response function reads as

Re [Π^{a b} (q)] = \frac{q_{a} q_{b}}{12 π^{2} ℏ v_{normalF}} (\ln [\frac{W}{false| μ false|}] - \frac{14}{15})

for a ≠ b . This qualitatively agrees with the result from the previous studies . We also evaluated Equation numerically and compared with Equation .…”

Section: Explicit Formula Of the Response Function At Zero Temperaturesupporting

confidence: 89%

Small Wavevector–Dependent Spin Susceptibility in Weyl Semimetals

Okvátovity

Simón

Dóra

2019

Physica Status Solidi (b)

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“…where l, m, n refer to three orthogonal coordinate axes with ε lmn = +1, have recently been evaluated by Thakur et al [43] and Zhou and Chang [44]. These authors are mainly interested in the current response, which is, however, closely related to the spin response due to spinmomentum locking.…”

Section: A Separate Charge and Spin Responsesmentioning

confidence: 99%

Charge-spin response and collective excitations in Weyl semimetals

Ghosh

Timm

2019

Phys. Rev. B

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Weyl semimetals are characterized by unconventional electromagnetic response. We present analytical expressions for all components of the frequency-and wave-vector-dependent charge-spin linear-response tensor of Weyl fermions. The spin-momentum locking of the Weyl Hamiltonian leads to a coupling between charge and longitudinal spin fluctuations, while transverse spin fluctuations remain decoupled from the charge. A real Weyl semimetal with multiple Weyl nodes can show this charge-spin coupling in equilibrium if its crystal symmetry is sufficiently low. All Weyl semimetals are expected to show this coupling if they are driven into a non-equilibrium stationary state with different occupations of Weyl nodes, for example by exploiting the chiral anomaly. Based on the response tensor, we investigate the low-energy collective excitations of interacting Weyl fermions. For a local Hubbard interaction, the charge-spin coupling leads to a dramatic change of the zero-sound dispersion: its velocity becomes independent of the interaction strength and the chemical potential and is given solely by the Fermi velocity. In the presence of long-range Coulomb interactions, the coupling transforms the plasmon modes into spin plasmons. For real Weyl semimetals with multiple Weyl nodes, the collective modes are strongly affected by the presence of parallel static electric and magnetic fields, due to the chiral anomaly. In particular, the zero-sound frequency at fixed momentum and the spin content of the spin plasmons go through cusp singularities as the chemical potential of one of the Weyl cones is tuned through the Weyl node. We discuss possible experiments that could provide smoking-gun evidence for Weyl physics. arXiv:1810.12560v2 [cond-mat.mes-hall]

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“…The electromagnetic and transport properties exhibited by WSMs has been studied theoretically using semi- * carsten.timm@tu-dresden.de classical transport theory [22,[36][37][38], field-theoretic approaches [21,39], and the Kubo formalism [40][41][42]. The dynamical density, spin, and current responses to inhomogenous and time-dependent external fields have been investigated for Weyl fermions in the bulk, using Kohn-Luttinger-type (k · p) models [43][44][45]. The dynamical current response provides information about transport properties such as the chiral magnetic effect and the optical conductivity [44].…”

Section: Introductionmentioning

confidence: 99%

Dynamical density and spin response of Fermi arcs and their consequences for Weyl semimetals

Ghosh

Timm

2020

Phys. Rev. B

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Weyl semimetals exhibit exotic Fermi-arc surface states, which strongly affect their electromagnetic properties. We derive analytical expressions for all components of the composite density-spin response tensor for the surfaces states of a Weyl-semimetal model obtained by closing the band gap in a topological insulating state and introducing a time-reversal-symmetry-breaking term. Based on the results, we discuss the electromagnetic susceptibilities, the current response, and other physical effects arising from the density-spin response. We find a magnetoelectric effect caused solely by the Fermi arcs. We also discuss the effect of electron-electron interactions within the random phase approximation and investigate the dispersion of surface plasmons formed by Fermi-arc states. Our work is useful for understanding the electromagnetic and optical properties of the Fermi arcs. arXiv:2001.00438v2 [cond-mat.mes-hall] 4 Apr 2020

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Dynamic current-current susceptibility in three-dimensional Dirac and Weyl semimetals

Cited by 47 publications

References 62 publications

Small Wavevector–Dependent Spin Susceptibility in Weyl Semimetals

Small Wavevector–Dependent Spin Susceptibility in Weyl Semimetals

Charge-spin response and collective excitations in Weyl semimetals

Dynamical density and spin response of Fermi arcs and their consequences for Weyl semimetals

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