Quantum Spin Systems after DLS1978
作者： Bruno Nachtergaele
DOI:
关键词: Positive temperature 、 Continuous symmetry 、 Spin (physics) 、 Lattice (order) 、 Physics 、 Antiferromagnetism 、 Quantum mechanics 、 Quantum 、 Heisenberg model
摘要: In their 1978 paper, Dyson, Lieb, and Simon (DLS) proved the existence of Ne'el order at positive temperature for spin-S Heisenberg antiferromagnet on d-dimensional hypercubic lattice when either S >= 1 d 3 or S=1/2 is sufficiently large. This was first proof spontaneous breaking a continuous symmetry in quantum model finite temperature. Since then ideas DLS have been extended adapted to variety other problems. this paper I will present an overview most important developments study related systems since 1978, including but not restricted those directly by DLS.
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