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Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires

Parameswaran, S. A. and Gopalakrishnan, S. (2017) Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires. Physical Review B, 95 (2). Art. No. 024201. ISSN 2469-9950. doi:10.1103/PhysRevB.95.024201.

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In one-dimensional electronic systems with strong repulsive interactions, charge excitations propagate much faster than spin excitations. Such systems therefore have an intermediate temperature range [termed the “spin-incoherent Luttinger liquid” (SILL) regime] where charge excitations are “cold” (i.e., have low entropy) whereas spin excitations are “hot.” We explore the effects of charge-sector disorder in the SILL regime in the absence of external sources of equilibration. We argue that the disorder localizes all charge-sector excitations; however, spin excitations are protected against full localization, and act as a heat bath facilitating charge and energy transport on asymptotically long time scales. The charge, spin, and energy conductivities are widely separated from one another. The dominant carriers of energy in much of the SILL regime are neither charge nor spin excitations, but neutral “phonon” modes, which undergo an unconventional form of hopping transport that we discuss. We comment on the applicability of these ideas to experiments and numerical simulations.

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Additional Information:© 2017 American Physical Society. (Received 29 June 2016; revised manuscript received 27 October 2016; published 6 January 2017) We thank M. Babadi, B. Bauer, A. L. Chernyshev, T. Grover, D. A. Huse, F. Huveneers, M. Knap, I. Lerner, R. Nandkishore, V. Oganesyan, A. C. Potter, and S. L. Sondhi for helpful discussions. We also acknowledge two anonymous referees for valuable comments on pedagogy. This research was supported in part by the National Science Foundation under Grants No. NSF PHY11-25915 at the KITP (S.A.P., S.G.) and CAREER Award DMR-1455366 (S.A.P.). S.G. acknowledges support from the Burke Institute at Caltech. We acknowledge the hospitality of the KITP and highways US-101, CA-134, CA-118, and CA-126, where portions of this work were carried out.
Group:Walter Burke Institute for Theoretical Physics
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Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20170106-103634244
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Official Citation:Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires S. A. Parameswaran and S. Gopalakrishnan Phys. Rev. B 95, 024201
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73293
Deposited By: George Porter
Deposited On:06 Jan 2017 21:22
Last Modified:11 Nov 2021 05:14

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