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• W2115439475 abstract "In their 1978 paper, Dyson, Lieb, and Simon (DLS) proved the existence of Ne'el order at positive temperature for the spin-S Heisenberg antiferromagnet on the d-dimensional hypercubic lattice when either S >= 1 and d >= 3 or S=1/2 and d is sufficiently large. This was the first proof of spontaneous breaking of a continuous symmetry in a quantum model at finite temperature. Since then the ideas of DLS have been extended and adapted to a variety of other problems. In this paper I will present an overview of the most important developments in the study of the Heisenberg model and related quantum lattice systems since 1978, including but not restricted to those directly related to the paper by DLS." @default.
• W2115439475 created "2016-06-24" @default.
• W2115439475 creator A5082684634 @default.
• W2115439475 date "2006-03-06" @default.
• W2115439475 modified "2023-09-27" @default.
• W2115439475 title "Quantum Spin Systems after DLS1978" @default.
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• W2115439475 hasPublicationYear "2006" @default.
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