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

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:
Report Number(s):
BNL-207993-2018-JAAM
Journal ID: ISSN 2469-9950
Grant/Contract Number:
SC0012704
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)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1466588
Alternate Identifier(s):
OSTI ID: 1467935

Tsvelik, Alexei M., and Yevtushenko, Oleg M.. Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples. United States: N. p., 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.. 2018. "Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples". United States. doi:10.1103/PhysRevB.98.081118.
@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}
}

Works referenced in this record:

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

Colloquium: Topological insulators
journal, November 2010