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Henley, Grant

doi:10.1023/a:1004773120516

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A 1/s Expansion For Antiferromagnets On Pyrochlore-like Latt...2

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2004

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“…The pyrochlore lattice presents such an exception: Henley [17] has found that an infinite number of collinear states are selected by zero-point fluctuations. These vacua are not related to each other by lattice symmetries and most are not even periodic.…”

Section: A 1/s Expansion For Antiferromagnets On Pyrochlore-like Latt...mentioning

confidence: 99%

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Quantum spin liquids: a large-Sroute

Tchernyshyov¹

2004

J. Phys.: Condens. Matter

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This paper explores the large-S route to quantum disorder in the Heisenberg antiferromagnet on the pyrochlore lattice and its homologues in lower dimensions. It is shown that zero-point fluctuations of spins shape up a valencebond solid at low temperatures for one two-dimensional lattice and a liquid with very short-range valence-bond correlations for another. A one-dimensional model demonstrates potential significance of quantum interference effects (as in Haldane's gap): the quantum melting of a valence-bond order yields different valence-bond liquids for integer and half-integer values of S.

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Section: A 1/s Expansion For Antiferromagnets On Pyrochlore-like Latt...mentioning

confidence: 99%

“…The checkerboard is a projection of the pyrochlore lattice onto a plane. Because it has loops of length 4 (around empty squares), the zero-point potential starts with four-spin interactions [17,18]:…”

Section: A 1/s Expansion For Antiferromagnets On Pyrochlore-like Latt...mentioning

confidence: 99%

Quantum spin liquids: a large-Sroute

Tchernyshyov¹

2004

J. Phys.: Condens. Matter

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Cited by 1 publication

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Quantum spin liquids: a large-Sroute

Quantum spin liquids: a large-Sroute

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