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Title: Local entanglement and confinement transitions in the random transverse-field Ising model on the pyrochlore lattice

Abstract

We use numerical linked cluster expansions (NLC) and exact diagonalization to study confinement transitions out of the quantum spin liquid phase in the pyrochlore-lattice Ising antiferromagnet with random transverse fields. We calculate entanglement entropies associated with local regions defined by single tetrahedron to observe these transitions. The randomness-induced confinement transition is marked by a sharp reduction in the local entanglement and a concomitant increase in Ising correlations. In NLC, it is studied through the destruction of loop resonances due to random transverse-fields. As a result, the confining phase is characterized by a distribution of local entanglement entropies, which persists to large random fields.

Authors:
 [1]; ORCiD logo [2];  [1];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of California, Davis, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1575863
Report Number(s):
LLNL-JRNL-778510
Journal ID: ISSN 2469-9950; PRBMDO; 971948
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 14; 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

Pardini, Tom, Menon, Anirudha, Hau-Riege, Stefan P., and Singh, Rajiv R. P. Local entanglement and confinement transitions in the random transverse-field Ising model on the pyrochlore lattice. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.144437.
Pardini, Tom, Menon, Anirudha, Hau-Riege, Stefan P., & Singh, Rajiv R. P. Local entanglement and confinement transitions in the random transverse-field Ising model on the pyrochlore lattice. United States. doi:10.1103/PhysRevB.100.144437.
Pardini, Tom, Menon, Anirudha, Hau-Riege, Stefan P., and Singh, Rajiv R. P. Mon . "Local entanglement and confinement transitions in the random transverse-field Ising model on the pyrochlore lattice". United States. doi:10.1103/PhysRevB.100.144437.
@article{osti_1575863,
title = {Local entanglement and confinement transitions in the random transverse-field Ising model on the pyrochlore lattice},
author = {Pardini, Tom and Menon, Anirudha and Hau-Riege, Stefan P. and Singh, Rajiv R. P.},
abstractNote = {We use numerical linked cluster expansions (NLC) and exact diagonalization to study confinement transitions out of the quantum spin liquid phase in the pyrochlore-lattice Ising antiferromagnet with random transverse fields. We calculate entanglement entropies associated with local regions defined by single tetrahedron to observe these transitions. The randomness-induced confinement transition is marked by a sharp reduction in the local entanglement and a concomitant increase in Ising correlations. In NLC, it is studied through the destruction of loop resonances due to random transverse-fields. As a result, the confining phase is characterized by a distribution of local entanglement entropies, which persists to large random fields.},
doi = {10.1103/PhysRevB.100.144437},
journal = {Physical Review B},
number = 14,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
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