Gauge theory for quantum XYZ spin glasses

Abstract Nishimori’s gauge theory is extended to the quantum XYZ p -spin glass model in finite dimensions. This enables us to obtain useful correlation equalities, which show also that Duhamel correlation functions at an arbitrary temperature are bounded by those in the corresponding classical model...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 57; no. 4; pp. 45001 - 45014
Main Authors Itoi, C, Sakamoto, Y
Format Journal Article
LanguageEnglish
Published IOP Publishing 26.01.2024
Subjects
gauge theory
magnetic susceptibility
paramagnetic and spin glass phases
phase diagram
spin glass transition
spontaneous magnetization
spontaneous symmetry breaking
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Summary:Abstract Nishimori’s gauge theory is extended to the quantum XYZ p -spin glass model in finite dimensions. This enables us to obtain useful correlation equalities, which show also that Duhamel correlation functions at an arbitrary temperature are bounded by those in the corresponding classical model on the Nishimori line. These bounds give that the spontaneous magnetization vanishes in any low temperature even if the model enters the Z 2 -symmetry broken spin glass phase. This theory explains well-known fact from experiments and numerical calculations that the magnetic susceptibility does not diverge in the spin glass transition. The new gauge theory together with the known phase diagram of the Edwards–Anderson model can specify the spin glass region in the coupling constant space of the quantum Heisenberg XYZ spin glass model.
Bibliography:JPhysA-119230.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad1a1d