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Heisenberg models a...
Heisenberg models and Schur-Weyl duality
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- Björnberg, Jakob, 1983 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Rosengren, Hjalmar, 1972 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Ryan, K. (author)
- Technische Universität Wien,Vienna University of Technology
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(creator_code:org_t)
- 2023
- 2023
- English.
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In: Advances in Applied Mathematics. - 0196-8858 .- 1090-2074. ; 151
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Abstract
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- We present a detailed analysis of certain quantum spin systems with inhomogeneous (non-random) mean-field interactions. Examples include, but are not limited to, the interchange-and spin singlet projection interactions on complete bipartite graphs. Using two instances of the representation theoretic framework of Schur-Weyl duality, we can explicitly compute the free energy and other thermodynamic limits in the models we consider. This allows us to describe the phase transition, the ground-state phase diagram, and the expected structure of extremal states. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Keyword
- system
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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