The thermal Hall conductance of two doped symmetry-breaking topological insulators

Li, Zi-Xiang; Lee, Dung-Hai

doi:10.48550/arxiv.1905.04248

Cited by 7 publications

(10 citation statements)

References 9 publications

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“…Another consequence of a Hall viscosity is phonon Faraday rotation, which describes the rotation of the linear polarization vector of transverse acoustic phonons due to splitting in the circularly-polarized velocities [26,72,73]. Recently, the thermal Hall effect has emerged as a powerful probe of neutral excitations such as spinons, prompting extensive experimental and theoretical studies in a variety of correlated quantum materials, including the cuprate superconductors [31,34,[74][75][76][77][78][79] and Kitaev materials like α-RuCl 3 [70,[80][81][82][83][84][85][86][87][88][89]. Here, we observe that a phonon Hall viscosity, in general, implies a nonzero phonon thermal Hall conductivity by imparting a Berry curvature to the phonon energy bands.…”

Section: Physical Consequencesmentioning

confidence: 99%

Phonon Hall viscosity from phonon-spinon interactions

et al. 2021

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Motivated by experimental observations, Samajdar et al. [Nature Physics 15, 1290] have proposed that the insulating Néel state in the parent compounds of the cuprates is proximate to a quantum phase transition to a state in which Néel order coexists with semion topological order. We study the manner in which proximity to this transition can make the phonons chiral, by inducing a significant phonon Hall viscosity. We describe the spinon-phonon coupling in a lattice spinon model coupled to a strain field, and also using a general continuum theory constrained only by symmetry. We find a nonanalytic Hall viscosity across the transition, with a divergent second derivative at zero temperature.

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Section: Physical Consequencesmentioning

confidence: 99%

Phonon Hall viscosity from phonon-spinon interactions

et al. 2021

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“…For the cuprates, the enhanced thermal Hall effect is limited to the underdoped regime, implying that the electronic chirality is connected to the novel strong correlation physics of the pseudogap phase [6,8]. There have been theoretical proposals for the origin of electronic chirality in the pseudogap [10][11][12][13][14][15][16], and de la Torre et al [17] have noted a connection to recent optical second harmonic generation experiment. 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].…”

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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“…Introduction -The anomalous thermal Hall conductivity probes topologically nontrivial excitations in a correlated insulator. In particular, the recent observation of "giant" anomalous thermal Hall conductivity in cuprates [1] has stimulated intensive interest in understanding its underlying mechanism and potential topological excitations [2][3][4][5][6], although the issue is still highly controversial. Previously, the anomalous thermal Hall conductivity has also been observed in spin liquid systems such as RuCl 3 but the signal is ten times smaller [7][8][9].…”

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confidence: 99%

Universal behavior of the thermal Hall conductivity

Yang,

Zhang,

Zhang

2020

Preprint

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We report theoretical and experimental analyses of the anomalous thermal Hall conductivity in correlated systems. For both fermionic and bosonic excitations with nontrivial topology, we show that at "intermediate" temperatures, the anomalous thermal Hall conductivity exhibits an unexpected universal scaling with a simple exponential form. At low temperatures, it behaves differently and reflects the spectral properties of underlying excitations. Our predictions are examined as examples in two prototype compounds, the quantum paraelectric SrTiO3 and the spin-liquid compound RuCl3. The experimental data can be largely covered by our proposed minimal phenomenological model independent of microscopic details, revealing dominant bosonic contributions in SrTiO3 and gapped fermionic excitations in RuCl3. Our work establishes a phenomenological link between microscopic models and experimental data and provides a unified basis for analyzing the anomalous thermal Hall conductivity in correlated systems over a wide temperature region.

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The thermal Hall conductance of two doped symmetry-breaking topological insulators

Cited by 7 publications

References 9 publications

Phonon Hall viscosity from phonon-spinon interactions

Phonon Hall viscosity from phonon-spinon interactions

Extrinsic phonon thermal Hall transport from Hall viscosity

Universal behavior of the thermal Hall conductivity

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