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Title: Quantum phase transition and protected ideal transport in a Kondo chain

Abstract

We study the low energy physics of a Kondo chain where electrons from a one-dimensional band interact with magnetic moments via an anisotropic exchange interaction. It is demonstrated that the anisotropy gives rise to two different phases which are separated by a quantum phase transition. In the phase with easy plane anisotropy, Z2 symmetry between sectors with different helicity of the electrons is broken. As a result, localization effects are suppressed and the dc transport acquires (partial) symmetry protection. This effect is similar to the protection of the edge transport in time-reversal invariant topological insulators. The phase with easy axis anisotropy corresponds to the Tomonaga-Luttinger liquid with a pronounced spin-charge separation. The slow charge density wave modes have no protection against localizatioin.

Authors:
 [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Ludwig Maximilian Univ., Munich (Germany)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1226074
Alternate Identifier(s):
OSTI ID: 1226098
Report Number(s):
BNL-108562-2015-JA
Journal ID: ISSN 0031-9007; R&D Project: PO015; KC0202030
Grant/Contract Number:  
SC00112704; AC02-98CH10886
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 21; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Tsvelik, A. M., and Yevtushenko, O. M. Quantum phase transition and protected ideal transport in a Kondo chain. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.115.216402.
Tsvelik, A. M., & Yevtushenko, O. M. Quantum phase transition and protected ideal transport in a Kondo chain. United States. https://doi.org/10.1103/PhysRevLett.115.216402
Tsvelik, A. M., and Yevtushenko, O. M. Mon . "Quantum phase transition and protected ideal transport in a Kondo chain". United States. https://doi.org/10.1103/PhysRevLett.115.216402. https://www.osti.gov/servlets/purl/1226074.
@article{osti_1226074,
title = {Quantum phase transition and protected ideal transport in a Kondo chain},
author = {Tsvelik, A. M. and Yevtushenko, O. M.},
abstractNote = {We study the low energy physics of a Kondo chain where electrons from a one-dimensional band interact with magnetic moments via an anisotropic exchange interaction. It is demonstrated that the anisotropy gives rise to two different phases which are separated by a quantum phase transition. In the phase with easy plane anisotropy, Z2 symmetry between sectors with different helicity of the electrons is broken. As a result, localization effects are suppressed and the dc transport acquires (partial) symmetry protection. This effect is similar to the protection of the edge transport in time-reversal invariant topological insulators. The phase with easy axis anisotropy corresponds to the Tomonaga-Luttinger liquid with a pronounced spin-charge separation. The slow charge density wave modes have no protection against localizatioin.},
doi = {10.1103/PhysRevLett.115.216402},
journal = {Physical Review Letters},
number = 21,
volume = 115,
place = {United States},
year = {Mon Nov 30 00:00:00 EST 2015},
month = {Mon Nov 30 00:00:00 EST 2015}
}

Journal Article:

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Cited by: 12 works
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Works referenced in this record:

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Works referencing / citing this record:

Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
journal, October 2017


Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
text, January 2017


Kondo Impurities Coupled to a Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
journal, April 2018


Doped Kondo chain, a heavy Luttinger liquid
journal, April 2018

  • Khait, Ilia; Azaria, Patrick; Hubig, Claudius
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 20
  • DOI: 10.1073/pnas.1719374115

Doped Kondo chain, a heavy Luttinger liquid
text, January 2017