Dielectric function and plasmons of doped three-dimensional Luttinger semimetals

Mauri, Achille; Polini, Marco

doi:10.1103/physrevb.100.165115

Cited by 20 publications

(12 citation statements)

References 55 publications

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“…( 5) does not depend on frequency, which is appropriate in the study of impurities. The dynamic charge polarizability at T = 0 was derived in [36,37]. In a previous work [36] we also show that the Hamiltonian (1) has no charge-spin coupling, that is χ i0 = χ 0i = 0 for i ∈ {1, 2, 3}.…”

Section: Response To Charge and Spin Impuritiesmentioning

confidence: 52%

Impurities in three-dimensional quadratic band-touching Luttinger semimetals: Friedel and RKKY oscillations

2020

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We investigate the response of 3D Luttinger semimetals to localized charge and spin impurities as a function of doping. The strong spin-orbit coupling of these materials strongly influences the Friedel oscillations and RKKY interactions. This can be seen at short distances with an 1/r 4 divergence of the responses, and anisotropic behavior. Certain of the spin-orbital signatures are robust to temperature, even if the charge and spin oscillations are smeared out, and give an unusual diamagnetic Pauli susceptibility. We compare our results to the experimental literature on the bismuth-based half-Heuslers such as YPtBi and on the pyrochlore iridate Pr2Ir2O7.

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Section: Response To Charge and Spin Impuritiesmentioning

confidence: 52%

Impurities in three-dimensional quadratic band-touching Luttinger semimetals: Friedel and RKKY oscillations

2020

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“…A challenging plan is to incorporate the invariant measure approach (IMA) [27] to find such behaviour in the presence of disorder, which has so far not been formulated for NFLs. Last but not the least, it will be worthwhile to study the dynamics of the plasmon modes in NFLs which arise at a band-touching point [28][29][30][31] (Fermi point), using our QBE approach.…”

Section: Discussionmentioning

confidence: 99%

Zero sound and plasmon modes for non-Fermi liquids

Mandal

2021

Preprint

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We derive the quantum Boltzmann equation (QBE) by using generalized Landau-interaction parameters, obtained through the nonequilibrium Green's function technique. This is a generalization of the usual QBE formalism to non-Fermi liquid (NFL) systems, which do not have well-defined quasiparticles. We apply this framework to a controlled low-energy effective field theory for the Ising-nematic quantum critical point, in order to find the collective excitations of the critical Fermi surface in the collisionless regime. We also compute the nature of the dispersion after the addition of weak Coulomb interactions. The zero angular momentum longitudinal vibrations of the Fermi surface show a linear-in-wavenumber dispersion, which corresponds to the zero sound of Landau's Fermi liquid theory. The Coulomb interaction modifies it to a plasmon mode in the long-wavelength limit, which disperses as the square-root of the wavenumber. Remarkably, our results show that the zero sound and plasmon modes show the same behaviour as in a Fermi liquid, although an NFL is fundamentally different from the former.

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“…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%

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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Dielectric function and plasmons of doped three-dimensional Luttinger semimetals

Cited by 20 publications

References 55 publications

Impurities in three-dimensional quadratic band-touching Luttinger semimetals: Friedel and RKKY oscillations

Impurities in three-dimensional quadratic band-touching Luttinger semimetals: Friedel and RKKY oscillations

Zero sound and plasmon modes for non-Fermi liquids

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

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