The XY model has long-range order for all spins and all dimensions greater than one

Tom Kennedy; Elliott H. Lieb; B. Sriram Shastry

doi:10.1103/PhysRevLett.61.2582

The XY model has long-range order for all spins and all dimensions greater than one

Tom Kennedy, Elliott H. Lieb, B. Sriram Shastry

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153 Scopus citations

Abstract

The quantum XY model of interacting spins on a hypercubic lattice has long-range order in the ground state for all values of the spin and all dimensions greater than one. We also show that in the limit of high dimension the spontaneous magnetization converges to the spontaneous magnetization of the Néel state.

Original language	English (US)
Pages (from-to)	2582-2584
Number of pages	3
Journal	Physical review letters
Volume	61
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevLett.61.2582
State	Published - 1988

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.61.2582

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title = "The XY model has long-range order for all spins and all dimensions greater than one",

abstract = "The quantum XY model of interacting spins on a hypercubic lattice has long-range order in the ground state for all values of the spin and all dimensions greater than one. We also show that in the limit of high dimension the spontaneous magnetization converges to the spontaneous magnetization of the N{\'e}el state.",

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AB - The quantum XY model of interacting spins on a hypercubic lattice has long-range order in the ground state for all values of the spin and all dimensions greater than one. We also show that in the limit of high dimension the spontaneous magnetization converges to the spontaneous magnetization of the Néel state.

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The XY model has long-range order for all spins and all dimensions greater than one

Abstract

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