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Title: Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets

Abstract

We present that residual entropy is a key feature associated with emergence in many-body systems. From a variety of frustrated magnets to the onset of spin-charge separation in Hubbard models and fermion-Z 2-flux variables in Kitaev models, the freezing of one set of degrees of freedom and the establishment of local constraints are marked by a plateau in entropy as a function of temperature. Yet, with the exception of the rare-earth pyrochlore family of spin-ice materials, evidence for such plateaus is rarely seen in real materials, raising questions about their robustness. Following recent experimental findings of the absence of such plateaus in the triangular-lattice Ising antiferromagnet (TIAF) TmMgGaO 4 by Li et al., we explore in detail the existence and rounding of entropy plateaus in TIAF. We use a transfer-matrix method to numerically calculate the properties of the system at different temperatures and magnetic fields, with further neighbor interactions and disorder. In conclusion, we find that temperature windows of entropy plateaus exist only when second-neighbor interactions are no more than a couple of percent of the nearest-neighbor ones, and they are also easily destroyed by disorder in the nearest-neighbor exchange variable, thereby explaining the challenge in observing such effects.

Authors:
ORCiD logo [1];  [1];  [1];  [1]
  1. Univ. of California, Davis, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Davis, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1597042
Alternate Identifier(s):
OSTI ID: 1558173
Grant/Contract Number:  
SC0014671; FG02-04ER46111; 1855111
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 6; 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; Entropy; Frustrated magnetism; Phase transitions; 2-dimensional systems; Antiferromagnets; Transfer matrix calculations

Citation Formats

Bradley, Owen, Feng, Chunhan, Scalettar, Richard T., and Singh, Rajiv R. P. Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.064414.
Bradley, Owen, Feng, Chunhan, Scalettar, Richard T., & Singh, Rajiv R. P. Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets. United States. doi:10.1103/PhysRevB.100.064414.
Bradley, Owen, Feng, Chunhan, Scalettar, Richard T., and Singh, Rajiv R. P. Tue . "Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets". United States. doi:10.1103/PhysRevB.100.064414. https://www.osti.gov/servlets/purl/1597042.
@article{osti_1597042,
title = {Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets},
author = {Bradley, Owen and Feng, Chunhan and Scalettar, Richard T. and Singh, Rajiv R. P.},
abstractNote = {We present that residual entropy is a key feature associated with emergence in many-body systems. From a variety of frustrated magnets to the onset of spin-charge separation in Hubbard models and fermion-Z2-flux variables in Kitaev models, the freezing of one set of degrees of freedom and the establishment of local constraints are marked by a plateau in entropy as a function of temperature. Yet, with the exception of the rare-earth pyrochlore family of spin-ice materials, evidence for such plateaus is rarely seen in real materials, raising questions about their robustness. Following recent experimental findings of the absence of such plateaus in the triangular-lattice Ising antiferromagnet (TIAF) TmMgGaO4 by Li et al., we explore in detail the existence and rounding of entropy plateaus in TIAF. We use a transfer-matrix method to numerically calculate the properties of the system at different temperatures and magnetic fields, with further neighbor interactions and disorder. In conclusion, we find that temperature windows of entropy plateaus exist only when second-neighbor interactions are no more than a couple of percent of the nearest-neighbor ones, and they are also easily destroyed by disorder in the nearest-neighbor exchange variable, thereby explaining the challenge in observing such effects.},
doi = {10.1103/PhysRevB.100.064414},
journal = {Physical Review B},
issn = {2469-9950},
number = 6,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

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