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Title: Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples

Abstract

We show that edges of Quantum Spin Hall topological insulators represent a natural platform for realization of exotic magnetic phase which has all properties of lattice supersolid. On one hand, fermionic edge modes are helical due to the nontrivial topology of the bulk. On the other hand, a disorder at the edge or magnetic adatoms may produce a dense array of localized spins interacting with the helical electrons. The spin subsystem is magnetically frustrated since the indirect exchange favors formation of helical spin order and the direct one favors (anti)ferromagnetic ordering of the spins. At a moderately strong direct exchange, the competition between these spin interactions results in the spontaneous breaking of parity and in the Ising type order of the z-components at zero temperature. If the total spin is conserved the spin order does not pin a collective massless helical mode which supports the ideal transport. In this case, the phase transition converts the helical spin order to the order of a chiral lattice supersolid. Furthermore, this represents a radically new possibility for experimental studies of the elusive supersolidity.

Authors:
ORCiD logo [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
  2. Ludwig Maximilians Univ., Munich (Germany). Arnold Sommerfeld Center and Center for Nano-Science
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1466588
Alternate Identifier(s):
OSTI ID: 1467935
Report Number(s):
BNL-207993-2018-JAAM
Journal ID: ISSN 2469-9950
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 8; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Tsvelik, Alexei M., and Yevtushenko, Oleg M. Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.081118.
Tsvelik, Alexei M., & Yevtushenko, Oleg M. Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples. United States. doi:10.1103/PhysRevB.98.081118.
Tsvelik, Alexei M., and Yevtushenko, Oleg M. Fri . "Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples". United States. doi:10.1103/PhysRevB.98.081118. https://www.osti.gov/servlets/purl/1466588.
@article{osti_1466588,
title = {Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples},
author = {Tsvelik, Alexei M. and Yevtushenko, Oleg M.},
abstractNote = {We show that edges of Quantum Spin Hall topological insulators represent a natural platform for realization of exotic magnetic phase which has all properties of lattice supersolid. On one hand, fermionic edge modes are helical due to the nontrivial topology of the bulk. On the other hand, a disorder at the edge or magnetic adatoms may produce a dense array of localized spins interacting with the helical electrons. The spin subsystem is magnetically frustrated since the indirect exchange favors formation of helical spin order and the direct one favors (anti)ferromagnetic ordering of the spins. At a moderately strong direct exchange, the competition between these spin interactions results in the spontaneous breaking of parity and in the Ising type order of the z-components at zero temperature. If the total spin is conserved the spin order does not pin a collective massless helical mode which supports the ideal transport. In this case, the phase transition converts the helical spin order to the order of a chiral lattice supersolid. Furthermore, this represents a radically new possibility for experimental studies of the elusive supersolidity.},
doi = {10.1103/PhysRevB.98.081118},
journal = {Physical Review B},
number = 8,
volume = 98,
place = {United States},
year = {2018},
month = {8}
}

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Works referenced in this record:

Stability of the quantum spin Hall effect: Effects of interactions, disorder, and Z 2 topology
journal, January 2006


Chiral Spin Order in Kondo-Heisenberg Systems
journal, December 2017


Conductivity of a generic helical liquid
journal, August 2014


Dicke quantum phase transition with a superfluid gas in an optical cavity
journal, April 2010

  • Baumann, Kristian; Guerlin, Christine; Brennecke, Ferdinand
  • Nature, Vol. 464, Issue 7293
  • DOI: 10.1038/nature09009

Topological insulators and superconductors
journal, October 2011


Magnetization plateaus of the Shastry-Sutherland model for SrCu 2 ( BO 3 ) 2 : Spin-density wave, supersolid, and bound states
journal, December 2000


Quantum lattice gas and the existence of a supersolid
journal, March 1973

  • Liu, Kao-Shien; Fisher, Michael E.
  • Journal of Low Temperature Physics, Vol. 10, Issue 5-6
  • DOI: 10.1007/BF00655458

Chiral spin states and superconductivity
journal, June 1989


Observation of Edge Transport in the Disordered Regime of Topologically Insulating InAs / GaSb Quantum Wells
journal, January 2014


Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007


Observation of Superflow in Solid Helium
journal, September 2004


Colloquium: Topological insulators
journal, November 2010


Dirac-fermion-mediated ferromagnetism in a topological insulator
journal, August 2012

  • Checkelsky, Joseph G.; Ye, Jianting; Onose, Yoshinori
  • Nature Physics, Vol. 8, Issue 10
  • DOI: 10.1038/nphys2388

Supersolid formation in a quantum gas breaking a continuous translational symmetry
journal, March 2017

  • Léonard, Julian; Morales, Andrea; Zupancic, Philip
  • Nature, Vol. 543, Issue 7643
  • DOI: 10.1038/nature21067

Ultra-robust high-field magnetization plateau and supersolidity in bond-frustrated MnCr 2 S 4
journal, March 2017

  • Tsurkan, Vladimir; Zherlitsyn, Sergei; Prodan, Lilian
  • Science Advances, Vol. 3, Issue 3
  • DOI: 10.1126/sciadv.1601982

Can a Solid Be "Superfluid"?
journal, November 1970


Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
journal, October 1962


Nuclear-spin-induced localization of edge states in two-dimensional topological insulators
journal, August 2017


Bose-Einstein Condensation and Liquid Helium
journal, November 1956


Probable observation of a supersolid helium phase
journal, January 2004


Conductance of a Helical Edge Liquid Coupled to a Magnetic Impurity
journal, June 2011


Speculations on Bose-Einstein Condensation and Quantum Crystals
journal, July 1970


Helical Liquid and the Edge of Quantum Spin Hall Systems
journal, March 2006


Transport in helical Luttinger liquid with Kondo impurities
journal, December 2015

  • Yevtushenko, Oleg M.; Wugalter, Ari; Yudson, Vladimir I.
  • EPL (Europhysics Letters), Vol. 112, Issue 5
  • DOI: 10.1209/0295-5075/112/57003

Novel local symmetries and chiral-symmetry-broken phases in S=(1/2 triangular-lattice Heisenberg model
journal, November 1989


Resistance of helical edges formed in a semiconductor heterostructure
journal, September 2014


Superfluids and supersolids on frustrated two-dimensional lattices
journal, February 1997


Off-Diagonal Long-Range Order in Solids
journal, January 1970

  • Matsuda, Hirotsugu; Tsuneto, Toshihiko
  • Progress of Theoretical Physics Supplement, Vol. 46
  • DOI: 10.1143/PTPS.46.411

Supersolid phase and magnetization plateaus observed in the anisotropic spin- 3 2 Heisenberg model on bipartite lattices
journal, November 2011


Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
journal, March 2018


Colloquium : Supersolids: What and where are they?
journal, May 2012


Mesoscopic Fluctuations of Conductance of a Helical Edge Contaminated by Magnetic Impurities
journal, May 2013


Evidence for Helical Edge Modes in Inverted InAs / GaSb Quantum Wells
journal, September 2011


Fate of Vacancy-Induced Supersolidity in He 4
journal, August 2006


Helical Luttinger Liquid in Topological Insulator Nanowires
journal, September 2010


Localization at the Edge of a 2D Topological Insulator by Kondo Impurities with Random Anisotropies
journal, August 2013


Magnetic moments in a helical edge can make weak correlations seem strong
journal, June 2016


Mapping of the two-channel Kondo problem to a resonant-level model
journal, November 1992


Helical Spin Order from Topological Dirac and Weyl Semimetals
journal, August 2015


Kondo lattice on the edge of a two-dimensional topological insulator
journal, June 2012


Functional integral bosonization for an impurity in a Luttinger liquid
journal, April 2004


Kondo Effect in the Helical Edge Liquid of the Quantum Spin Hall State
journal, June 2009


A stripe phase with supersolid properties in spin–orbit-coupled Bose–Einstein condensates
journal, March 2017

  • Li, Jun-Ru; Lee, Jeongwon; Huang, Wujie
  • Nature, Vol. 543, Issue 7643
  • DOI: 10.1038/nature21431