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The response of solids to temperature gradients is often described in terms of a gravitational analogue: the effect of a space-dependent temperature is modeled using a space dependent metric.
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See Supplemental Material at [URL] for more details on (i) a calculation of the energy current in response to gravitational potential in the Haldane lattice model and its continuum limit, (ii) a numerical calculation for the energy current and local temperature in a model where we attach both phonon baths and wires to a Chern insulator, and (iii) the one-dimensional gravitational anomaly. It also includes Ref. [ 6 ]
Cited in the paper.
Later among the works it cites.
Y. Vinkler-Aviv, Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response , Phys. Rev. B 100
2019
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Anton Kapustin and Lev Spodyneiko, “Thermal Hall conductance and a relative topological invariant of gapped two-dimensional systems,” Phys. Rev. B 101
2020
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2021
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T. Yokoi, S. Ma, Y. Kasahara, S. Kasahara, T. Shibauchi, N. Kurita, H. Tanaka, J. Nasu, Y. Motome, C. Hickey, S. Trebst, and Y. Matsuda, “Half-integer quantized anomalous thermal hall effect in the kitaev material candidate α \alpha - RuCl 3 \rm{RuCl_{3}} ,” Science 373
2021
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2021
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Yigal Meir and Ned S. Wingreen, “Landauer formula for the current through an interacting electron region,” Phys. Rev. Lett. 68
2026
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