Diagonalization of an exchange Hamiltonian for 163He spins

M. C. Cross; R. N. Bhatt

doi:10.1007/BF00683682

Diagonalization of an exchange Hamiltonian for 16³He spins

M. C. Cross
, R. N. Bhatt

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

An exact investigation of a finite-size quantum spin-1/2 model of bcc³He, consisting of two interpenetrating cubes with periodic boundary conditions, is performed with an exchange Hamiltonian incorporating two-, three-, and planar four-spin exchange. Although there is qualitative agreement with the mean field phase diagram, quantum effects are much larger (up to 100% in ground state energy) than with pure Heisenberg exchange. We comment on the comparison of theory and experiment in light of the present results.

Original language	English (US)
Pages (from-to)	573-587
Number of pages	15
Journal	Journal of Low Temperature Physics
Volume	57
Issue number	5-6
DOIs	https://doi.org/10.1007/BF00683682
State	Published - Dec 1984
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
General Materials Science
Condensed Matter Physics

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10.1007/BF00683682

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title = "Diagonalization of an exchange Hamiltonian for 163He spins",

abstract = "An exact investigation of a finite-size quantum spin-1/2 model of bcc3He, consisting of two interpenetrating cubes with periodic boundary conditions, is performed with an exchange Hamiltonian incorporating two-, three-, and planar four-spin exchange. Although there is qualitative agreement with the mean field phase diagram, quantum effects are much larger (up to 100\% in ground state energy) than with pure Heisenberg exchange. We comment on the comparison of theory and experiment in light of the present results.",

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year = "1984",

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T1 - Diagonalization of an exchange Hamiltonian for 163He spins

AU - Cross, M. C.

AU - Bhatt, R. N.

PY - 1984/12

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N2 - An exact investigation of a finite-size quantum spin-1/2 model of bcc3He, consisting of two interpenetrating cubes with periodic boundary conditions, is performed with an exchange Hamiltonian incorporating two-, three-, and planar four-spin exchange. Although there is qualitative agreement with the mean field phase diagram, quantum effects are much larger (up to 100% in ground state energy) than with pure Heisenberg exchange. We comment on the comparison of theory and experiment in light of the present results.

AB - An exact investigation of a finite-size quantum spin-1/2 model of bcc3He, consisting of two interpenetrating cubes with periodic boundary conditions, is performed with an exchange Hamiltonian incorporating two-, three-, and planar four-spin exchange. Although there is qualitative agreement with the mean field phase diagram, quantum effects are much larger (up to 100% in ground state energy) than with pure Heisenberg exchange. We comment on the comparison of theory and experiment in light of the present results.

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JO - Journal of Low Temperature Physics

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IS - 5-6

ER -

Diagonalization of an exchange Hamiltonian for 16³He spins

Abstract

All Science Journal Classification (ASJC) codes

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