Phonon Hall viscosity from phonon-spinon interactions

Zhang, Yunchao; Teng, Yun; Samajdar, Rhine; Sachdev, Subir; Scheurer, Mathias S.

doi:10.1103/physrevb.104.035103

Cited by 19 publications

(13 citation statements)

References 90 publications

(154 reference statements)

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“…That work, which assumed the isotropic SU(2) invariant limit, agrees with our calculations when these assumptions are imposed. The complementary mechanism of intrinsic phonon Hall effect due to phonon Berry curvature was studied by many authors [17,[39][40][41], including how the phonon Berry curvature is induced by spin-lattice coupling in Ref. [18].…”

Section: B Relation To Other Workmentioning

confidence: 99%

Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations

Mangeolle,

Balents,

Savary

2022

Preprint

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We study the intrinsic scattering of phonons by a general quantum degree of freedom, i.e. a fluctuating "field" Q, which may have completely general correlations, restricted only by unitarity and translational invariance. From the induced scattering rates, we obtain the consequences on the thermal conductivity tensor of the phonons. We find that the lowest-order diagonal scattering rate, which determines the longitudinal conductivity, is controlled by two-point correlation functions of the Q field, while the off-diagonal scattering rates involve a minimum of three to four point correlation functions. We obtain general and explicit forms for these correlations which isolate the contributions to the Hall conductivity, and provide a general discussion of the implications of symmetry and equilibrium. We evaluate these two-and four-point correlation functions and hence the thermal transport for the illustrative example of an ordered two dimensional antiferromagnet. In this case the Q field is a composite of magnon operators arising from spin-lattice coupling. A numerical evaluation of the required integrals demonstrates that the results satisfy all the necessary symmetry restrictions but otherwise lead to non-vanishing scattering and Hall effects, and in particular that this mechanism leads to comparable thermal Hall conductivity for thermal currents within and normal to the plane of the antiferromagnetism.

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Section: B Relation To Other Workmentioning

confidence: 99%

Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations

Mangeolle,

Balents,

Savary

2022

Preprint

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“…It is the lowest order time-reversal breaking term for phonons in the effective field theory sense. As discussed in Section I, it can be obtained by coupling lattice distortions to an electronic chiral spin liquid, and then integrating out the electrons [24].…”

Section: B Phonon Hall Viscositymentioning

confidence: 99%

“…Given chiral electrons, then the electron-phonon coupling is known to induce non-dissipative phonon Hall viscosity terms in the effective action for the phonons [9,[18][19][20][21][22][23]. For the square lattice case relevant to the cuprates, the phonon Hall viscosity induced by a model of chiral spinons [12] is described in a separate paper [24]. Now we can turn to the second question above, which will be addressed by us in this paper: given a phonon system with a non-zero Hall viscosity, what is its thermal Hall conductivity?…”

Section: Introductionmentioning

confidence: 99%

Extrinsic phonon thermal Hall transport from Hall viscosity

Guo,

Sachdev

2021

Preprint

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Motivated by recent experiments on the phonon contribution to the thermal Hall effect in the cuprates, we present an analysis of chiral phonon transport. We assume the chiral behavior arises from a nonzero phonon Hall vicosity, which is likely induced by the coupling to electrons. Phonons with a non-zero phonon Hall viscosity have an intrinsic thermal Hall conductivity, but Chen et al. (Phys. Rev. Lett. 124, 167601 (2020)) have argued that a significantly larger thermal Hall conductivity can arise from an extrinsic contribution which is inversely proportional to the density of impurities. We solve the Boltzmann equation for phonon transport and compute the temperature (T ) dependence of the thermal Hall conductivity originating from skew scattering off point-like impurities. We find that the dominant source for thermal Hall transport is an interference between impurity skew scattering channels with opposite parity. The thermal Hall conductivity ∼ T d+2 at low T in d dimensions, and has a window of T -independent behavior for T > T imp , where T imp is determined by the ratio of scattering potentials with opposite parity. We also consider the role of non-specular scattering off the sample boundary, and find that it leads to negligible corrections to thermal Hall transport at low T .

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“…Earlier theories [9][10][11] of the extrinsic phonon thermal Hall effect have assumed that acoustic phonons are the only important low energy degrees of freedom, and therefore the thermal Hall effect can be described using an effective field theory. The leading order time-reversal breaking effect is described by phonon Hall viscosity [12][13][14]. This approach has succeeded in describing thermal Hall effect induced by grain boundary scattering in SrTiO 3 [9], but does not match with the cuprates.…”

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confidence: 99%

Resonant thermal Hall effect of phonons coupled to dynamical defects

Guo¹,

Joshi²,

Sachdev³

2022

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We present computations of the thermal Hall coefficient of phonons scattering off defects with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon-defect coupling is of the 'side-jump' type, which is proportional to the phonon lifetime. This contribution is at resonance when the phonon energy equals a defect level spacing. Our results are obtained for different defect models, and include models of an impurity quantum spin in the presence of quasi-static magnetic order with an isotropic Zeeman coupling to the applied field.

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Phonon Hall viscosity from phonon-spinon interactions

Cited by 19 publications

References 90 publications

Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations

Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations

Extrinsic phonon thermal Hall transport from Hall viscosity

Resonant thermal Hall effect of phonons coupled to dynamical defects

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