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Title: Quantum spin liquid in the semiclassical regime

Abstract

Quantum spin liquids (QSLs) have been at the forefront of correlated electron research ever since their proposal in 1973, and the realization that they belong to the broader class of intrinsic topological orders. According to received wisdom, QSLs can arise in frustrated magnets with low spin S, where strong quantum fluctuations act to destabilize conventional, magnetically ordered states. In this work, we present a Z 2 QSL ground state that appears already in the semiclassical, large-S limit. This state has both topological and symmetry-related ground-state degeneracy, and two types of gaps, a “magnetic flux” gap that scales linearly with S and an “electric charge” gap that drops exponentially in S. The magnet is the spin-S version of the spin-1/2 Kitaev honeycomb model, which has been the subject of intense studies in correlated electron systems with strong spin–orbit coupling, and in optical lattice realizations with ultracold atoms.

Authors:
 [1];  [1];  [1]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1513275
Grant/Contract Number:  
SC0018056
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Rousochatzakis, Ioannis, Sizyuk, Yuriy, and Perkins, Natalia B. Quantum spin liquid in the semiclassical regime. United States: N. p., 2018. Web. doi:10.1038/s41467-018-03934-1.
Rousochatzakis, Ioannis, Sizyuk, Yuriy, & Perkins, Natalia B. Quantum spin liquid in the semiclassical regime. United States. doi:10.1038/s41467-018-03934-1.
Rousochatzakis, Ioannis, Sizyuk, Yuriy, and Perkins, Natalia B. Mon . "Quantum spin liquid in the semiclassical regime". United States. doi:10.1038/s41467-018-03934-1. https://www.osti.gov/servlets/purl/1513275.
@article{osti_1513275,
title = {Quantum spin liquid in the semiclassical regime},
author = {Rousochatzakis, Ioannis and Sizyuk, Yuriy and Perkins, Natalia B.},
abstractNote = {Quantum spin liquids (QSLs) have been at the forefront of correlated electron research ever since their proposal in 1973, and the realization that they belong to the broader class of intrinsic topological orders. According to received wisdom, QSLs can arise in frustrated magnets with low spin S, where strong quantum fluctuations act to destabilize conventional, magnetically ordered states. In this work, we present a Z2 QSL ground state that appears already in the semiclassical, large-S limit. This state has both topological and symmetry-related ground-state degeneracy, and two types of gaps, a “magnetic flux” gap that scales linearly with S and an “electric charge” gap that drops exponentially in S. The magnet is the spin-S version of the spin-1/2 Kitaev honeycomb model, which has been the subject of intense studies in correlated electron systems with strong spin–orbit coupling, and in optical lattice realizations with ultracold atoms.},
doi = {10.1038/s41467-018-03934-1},
journal = {Nature Communications},
number = 1,
volume = 9,
place = {United States},
year = {2018},
month = {4}
}

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Cited by: 11 works
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Figures / Tables:

Fig. 1 Fig. 1: Clmore » assical ground states of the Kitaev model on the honeycomb lattice. The lattice has three types of NN bonds, labeled by “x”, “y”, and “z”. a General form of ground states. The numbers 1–13 label the spin sites, and the shaded 3×1 vectors below each number give the corresponding Cartesian components (x, y, and z) of the spins (colored red, green, and blue, respectively). Here, κ = −sgn(K), S i  = (a i , b i , c i ) or κ(a i , b i , c i ) if i belongs to the A or B sublattice, and a i 2 + b i 2 + c i 2 = S 2 . b The so-called Cartesian states of BSS correspond to the states where only one of the Cartesian component is finite. These states map to dimer coverings, with (yellow) dimers representing satisfied bonds. The spin orientation of each dimer is described by an Ising-like variable η = ±1 (colored according to the non-vanishing Cartesian component of the two spins shared by the bond). The shaded hexagon has the shortest loop with no dimers« less

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    Works referencing / citing this record:

    Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange
    journal, June 2019


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.