Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals

Mandal, Ipsita; Freire, Hermann

doi:10.1103/physrevb.103.195116

Cited by 28 publications

(36 citation statements)

References 54 publications

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“…We showed in Ref. [14] that this hyperscaling relation for σ is violated, when we include the effects of Coulomb interactions at the LAB fixed point.…”

Section: A General Argumentsmentioning

confidence: 98%

“…As explained in Refs. [14,15], the momentum operator P is a nearly conserved operator in the present model, that plays a key role in the computation of many transport coefficients in the system within the hydrodynamic regime. However, the momentum operator turns out to have no influence on the Raman response of the system, since it has no overlap with the operator ρ a .…”

Section: B Raman Response At T >mentioning

confidence: 99%

“…Again, the details of the evaluation of the loop integrals follow the same steps as the computation of the corresponding two-loop current-current correlator in Ref. [14], finally leading to Including the counterterms of the renormalized action [62], using Eq. (2.8) at the LAB fixed point, the final expression for the autocorrelator of the stress tensor T zx takes the form:…”

Section: Two-loop Contributionsmentioning

confidence: 99%

“…Recently, we have shown that the LAB phase violates the hyperscaling property at low temperatures [14], by calculating the optical conductivity of the model. In this paper, we will continue to investigate this NFL phase further by calculating the η/s ratio, using dimensional regularization and applying the Kubo formula.…”

Section: Introductionmentioning

confidence: 99%

“…Luttinger semimetals refer to a class of strongly spin-orbit coupled fermions with pseudospin-3/2 in three dimensions, whose normal state exhibits quadratic touching of Kramers-degenerate valence and conduction bands at the Brillouin zone center (i.e., the Γ-point). Due to the growing relevance of these strongly correlated compounds nowadays in the field of topological quantum materials, there has been a recent surge of theoretical works investigating various aspects of the physics of these systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Important examples of these compounds include HeTe [16][17][18], some pyrochlore iridates [19,20], grey-tin [21], half-Heusler compounds [22,23], etc.…”

Section: Introductionmentioning

confidence: 99%

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Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals

Mandal,

Freire

2022

Preprint

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Luttinger semimetals represent materials with strong spin-orbit coupling, harbouring doubly degenerate quadratic band touchings at the Brillouin zone center. In the presence of Coulomb interactions, such a system exhibits a non-Fermi liquid phase [dubbed as the Luttinger-Abrikosov-Beneslavskii (LAB) phase], at low temperatures and zero doping. However, a clear experimental evidence of this emergent state remains elusive to this date. Here, we determine the Raman response of the LAB phase. At frequencies much larger than the temperature, the Raman response exhibits a power-law behavior, which could be verified experimentally. On the other hand, at lower frequencies, the Raman response displays a quasi-elastic peak. We also compute the ratio of the shear viscosity and the entropy density η/s, using a Kubo formula analysis, to analyze the consequences of the hyperscaling violation that emerges in the LAB phase. Contents I. Introduction II. Model III. Raman response A. Raman response at T = 0 1. One-loop contribution 2. Two-loop contributions 3. Scaling of the Raman response at T = 0 B. Raman response at T > 0 IV. Free energy at T > 0 A. General arguments B. Scaling of the free energy V. Shear viscosity A. General arguments B. One-loop contribution C. Two-loop contributions D. Scaling of η and the ratio η/s VI. Summary and outlook References A. d a -function algebra B. Details of the two-loop calculations for the T = 0 Raman response

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“…We showed in Ref. [14] that this hyperscaling relation for σ is violated, when we include the effects of Coulomb interactions at the LAB fixed point.…”

Section: A General Argumentsmentioning

confidence: 98%

Section: B Raman Response At T >mentioning

confidence: 99%

Section: Two-loop Contributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals

Mandal,

Freire

2022

Preprint

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Floquet Transmission in Weyl/Multi‐Weyl and Nodal‐Line Semimetals through a Time‐Periodic Potential Well

2023

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A quantum pumping protocol through which the quasiparticles of Weyl/multi-Weyl and nodal-line semimetals are subjected to a time-periodic rectangular potential well is considered. The presence of an oscillating potential of frequency 𝝎 creates equispaced Floquet side-bands with spacing ℏ𝝎. As a result, a Fano resonance is observed when the difference in the Fermi energy (i.e., the energy of the incident quasiparticle), and the energy of one of the (quasi)bound state levels of the well, coincides with the energy of an integer number of photons (each carrying energy quantum ℏ𝝎). Using the Floquet theory and the scattering matrix approach in the zero-temperature non-adiabatic pumping limit, characteristic Fano resonance patterns are found in the transmission coefficients. The inflection points in the pumped shot noise spectra also serve as a proxy for the corresponding Fano resonances. Therefore, the pumped shot noise is also numerically evaluated. Finally, the existence of the Fano resonance points is correlated to the (quasi)bound states of the well, by explicitly calculating the bound states of the static well (which are a subset of the bound states of the driven system). Since semimetals with anisotropic dispersions are considered, all the features observed depend on the orientation of the potential well.

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Thermoelectric Response in Nodal‐Point Semimetals

Mandal,

Saha

2024

Annalen der Physik

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In this review, the thermoelectric properties in nodal‐point semimetals with two bands are discussed. For the two‐dimensional (2D) cases, it is shown that the expressions of the thermoelectric coefficients take different values depending on the nature of the scattering mechanism responsible for transport, by considering examples of short‐ranged disorder potential and screened charged impurities. An anisotropy in the energy dispersion spectrum invariably affects the thermopower quite significantly, as illustrated by the results for a node of semi‐Dirac semimetal and a single valley of graphene. The scenario when a magnetic field of magnitude is applied perpendicular to the plane of the 2D semimetal is also considered. The computations for the three‐dimensional (3D) cases necessarily involve the inclusion of nontrivial Berry phase effects. In addition to demonstrating the expressions for the response tensors, the exotic behavior observed in planar Hall and planar thermal Hall set‐ups is discussed.

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Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals

Cited by 28 publications

References 54 publications

Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals

Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals

Floquet Transmission in Weyl/Multi‐Weyl and Nodal‐Line Semimetals through a Time‐Periodic Potential Well

Thermoelectric Response in Nodal‐Point Semimetals

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