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Title: Scaling and data collapse from local moments in frustrated disordered quantum spin systems

Abstract

Recently measurements on various spin–1/2 quantum magnets such as H 3LiIr 2O 6, LiZn 2Mo 3O 8, ZnCu 3(OH) 6Cl 2 and 1T-TaS 2—all described by magnetic frustration and quenched disorder but with no other common relation—nevertheless showed apparently universal scaling features at low temperature. In particular the heat capacity C[H, T] in temperature T and magnetic field H exhibits T/H data collapse reminiscent of scaling near a critical point. Here we propose a theory for this scaling collapse based on an emergent random-singlet regime extended to include spin-orbit coupling and antisymmetric Dzyaloshinskii-Moriya (DM) interactions. We derive the scaling C[H, T]/T ~ H- γF q[T/H] with F q[x] = x q at small x, with q ϵ {0, 1, 2} an integer exponent whose value depends on spatial symmetries. The agreement with experiments indicates that a fraction of spins form random valence bonds and that these are surrounded by a quantum paramagnetic phase. We also discuss distinct scaling for magnetization with a q-dependent subdominant term enforced by Maxwell’s relations.

Authors:
ORCiD logo [1];  [2];  [3];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  2. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy, and the Inst. for Quantum Matter
  3. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy, and the Inst. for Quantum Matter, and Dept. of Materials Science and Engineering
Publication Date:
Research Org.:
Johns Hopkins Univ., Baltimore, MD (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1483398
Grant/Contract Number:  
FG02-08ER46544; FG02-03ER46076
Resource Type:
Journal Article: 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:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Kimchi, Itamar, Sheckelton, John P., McQueen, Tyrel M., and Lee, Patrick A. Scaling and data collapse from local moments in frustrated disordered quantum spin systems. United States: N. p., 2018. Web. doi:10.1038/s41467-018-06800-2.
Kimchi, Itamar, Sheckelton, John P., McQueen, Tyrel M., & Lee, Patrick A. Scaling and data collapse from local moments in frustrated disordered quantum spin systems. United States. doi:10.1038/s41467-018-06800-2.
Kimchi, Itamar, Sheckelton, John P., McQueen, Tyrel M., and Lee, Patrick A. Mon . "Scaling and data collapse from local moments in frustrated disordered quantum spin systems". United States. doi:10.1038/s41467-018-06800-2. https://www.osti.gov/servlets/purl/1483398.
@article{osti_1483398,
title = {Scaling and data collapse from local moments in frustrated disordered quantum spin systems},
author = {Kimchi, Itamar and Sheckelton, John P. and McQueen, Tyrel M. and Lee, Patrick A.},
abstractNote = {Recently measurements on various spin–1/2 quantum magnets such as H3LiIr2O6, LiZn2Mo3O8, ZnCu3(OH)6Cl2 and 1T-TaS2—all described by magnetic frustration and quenched disorder but with no other common relation—nevertheless showed apparently universal scaling features at low temperature. In particular the heat capacity C[H, T] in temperature T and magnetic field H exhibits T/H data collapse reminiscent of scaling near a critical point. Here we propose a theory for this scaling collapse based on an emergent random-singlet regime extended to include spin-orbit coupling and antisymmetric Dzyaloshinskii-Moriya (DM) interactions. We derive the scaling C[H, T]/T ~ H-γFq[T/H] with Fq[x] = xq at small x, with q ϵ {0, 1, 2} an integer exponent whose value depends on spatial symmetries. The agreement with experiments indicates that a fraction of spins form random valence bonds and that these are surrounded by a quantum paramagnetic phase. We also discuss distinct scaling for magnetization with a q-dependent subdominant term enforced by Maxwell’s relations.},
doi = {10.1038/s41467-018-06800-2},
journal = {Nature Communications},
issn = {2041-1723},
number = 1,
volume = 9,
place = {United States},
year = {2018},
month = {10}
}

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Free Publicly Available Full Text
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Cited by: 14 works
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Works referenced in this record:

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