Energy transport in the Anderson insulator

D. B. Gutman, I. V. Protopopov, A. L. Burin, I. V. Gornyi, R. A. Santos, A. D. Mirlin

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46 Scopus citations


We study the heat conductivity in Anderson insulators in the presence of a power-law interaction. Particle-hole excitations built on localized electron states are viewed as two-level systems randomly distributed in space and energy and coupled due to electron-electron interaction. A small fraction of these states form resonant pairs that in turn build a complex network allowing for energy propagation. We identify the character of energy transport through this network and evaluate the thermal conductivity. For physically relevant cases of two-dimensional and three-dimensional spin systems with 1/r3 dipole-dipole interaction (originating from the conventional 1/r Coulomb interaction between electrons), the found thermal conductivity κ scales with temperature as κ T3 and κ T4/3, respectively. Our results may be of relevance also to other realizations of random spin Hamiltonians with long-range interactions.

Original languageEnglish
Article number245427
JournalPhysical Review B
Issue number24
StatePublished - 22 Jun 2016

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© 2016 American Physical Society.


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