skip to main content

DOE PAGESDOE PAGES

  • DOE PAGES
  • Published Article: Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator

Title: Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator

Topological Kondo insulators are strongly correlated materials where itinerant electrons hybridize with localized spins, giving rise to a topologically nontrivial band structure. Here, we use nonperturbative bosonization and renormalization-group techniques to study theoretically a one-dimensional topological Kondo insulator, described as a Kondo-Heisenberg model, where the Heisenberg spin-1/2 chain is coupled to a Hubbard chain through a Kondo exchange interaction in the p-wave channel (i.e., a strongly correlated version of the prototypical Tamm-Schockley model).We derive and solve renormalization-group equations at two-loop order in the Kondo parameter, and find that, at half filling, the charge degrees of freedom in the Hubbard chain acquire a Mott gap, even in the case of a noninteracting conduction band (Hubbard parameter U = 0). Furthermore, at low enough temperatures, the system maps onto a spin-1/2 ladder with local ferromagnetic interactions along the rungs, effectively locking the spin degrees of freedom into a spin-1 chain with frozen charge degrees of freedom. This structure behaves as a spin-1 Haldane chain, a prototypical interacting topological spin model, and features two magnetic spin-1/2 end states for chains with open boundary conditions. In conclusion, our analysis allows us to derive an insightful connection between topological Kondo insulators in one spatial dimensionmore » and the well-known physics of the Haldane chain, showing that the ground state of the former is qualitatively different from the predictions of the naive mean-field theory.« less
Authors:
 [1] ;  [2] ;  [3]
+ Show Author Affiliations
  1. Univ. Nacional de Rosario and Instituto de Fisica Rosario, Rosario (Argentina); Univ. of Maryland, College Park, MD (United States)
  2. Univ. Nacional de Rosario and Instituto de Fisica Rosario, Rosario (Argentina)
  3. Univ. of Maryland, College Park, MD (United States); Monash Univ., Melbourne, VIC (Australia)
Publication Date:
Grant/Contract Number:
SC0001911; DESC0001911
Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Volume: 5; Journal Issue: 2; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Research Org:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1182821
Alternate Identifier(s):
OSTI ID: 1452836
Citation Formats
Lobos, Alejandro M., Dobry, Ariel O., and Galitski, Victor. Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator. United States: N. p., Web. doi:10.1103/PhysRevX.5.021017.
Copy to clipboard
Lobos, Alejandro M., Dobry, Ariel O., & Galitski, Victor. Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator. United States. doi:10.1103/PhysRevX.5.021017.
Copy to clipboard
Lobos, Alejandro M., Dobry, Ariel O., and Galitski, Victor. 2015. "Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator". United States. doi:10.1103/PhysRevX.5.021017.
Copy to clipboard
@article{osti_1182821,
title = {Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator},
author = {Lobos, Alejandro M. and Dobry, Ariel O. and Galitski, Victor},
abstractNote = {Topological Kondo insulators are strongly correlated materials where itinerant electrons hybridize with localized spins, giving rise to a topologically nontrivial band structure. Here, we use nonperturbative bosonization and renormalization-group techniques to study theoretically a one-dimensional topological Kondo insulator, described as a Kondo-Heisenberg model, where the Heisenberg spin-1/2 chain is coupled to a Hubbard chain through a Kondo exchange interaction in the p-wave channel (i.e., a strongly correlated version of the prototypical Tamm-Schockley model).We derive and solve renormalization-group equations at two-loop order in the Kondo parameter, and find that, at half filling, the charge degrees of freedom in the Hubbard chain acquire a Mott gap, even in the case of a noninteracting conduction band (Hubbard parameter U = 0). Furthermore, at low enough temperatures, the system maps onto a spin-1/2 ladder with local ferromagnetic interactions along the rungs, effectively locking the spin degrees of freedom into a spin-1 chain with frozen charge degrees of freedom. This structure behaves as a spin-1 Haldane chain, a prototypical interacting topological spin model, and features two magnetic spin-1/2 end states for chains with open boundary conditions. In conclusion, our analysis allows us to derive an insightful connection between topological Kondo insulators in one spatial dimension and the well-known physics of the Haldane chain, showing that the ground state of the former is qualitatively different from the predictions of the naive mean-field theory.},
doi = {10.1103/PhysRevX.5.021017},
journal = {Physical Review. X},
number = 2,
volume = 5,
place = {United States},
year = {2015},
month = {5}
}
Copy to clipboard
  • Citation Metrics
  • Cited by: 6works
  • Citation information provided by
    Web of Science
[ × clear filter / sort ]

Works referenced in this record:

Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007
A topological Dirac insulator in a quantum spin Hall phase
journal, April 2008
  • Hsieh, D.; Qian, D.; Wray, L.
  • Nature, Vol. 452, Issue 7190, p. 970-974
  • DOI: 10.1038/nature06843
Z2classification of quantum spin Hall systems: An approach using time-reversal invariance
journal, May 2009
Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005
Colloquium: Topological insulators
journal, November 2010
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
journal, May 2009
  • Xia, Y.; Qian, D.; Hsieh, D.
  • Nature Physics, Vol. 5, Issue 6, p. 398-402
  • DOI: 10.1038/nphys1274
Topological Insulators in Three Dimensions
journal, March 2007
Topological invariants of time-reversal-invariant band structures
journal, March 2007

    Similar records in DOE PAGES and OSTI.GOV collections: