Effects of randomness in gapped antiferromagnetic quantum spin chains

Kun Yang; R. A. Hyman; R. N. Bhatt; S. M. Girvin

doi:10.1063/1.361312

Effects of randomness in gapped antiferromagnetic quantum spin chains

Kun Yang, R. A. Hyman, R. N. Bhatt, S. M. Girvin

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Abstract

The effects of bond randomness are studied for spin chains with excitation gaps in the pure case. Systems with enforced topological structure like the spin-1/2 chain with enforced dimerization and spin-1 chain in the Haldane gapped phase appear very stable against randomness. On the other hand, systems with spontaneously generated topological order like the spin-1/2 chain with spontaneous dimerization are found to be unstable even for weak randomness despite the gap.

Original language	English (US)
Pages (from-to)	5096-5098
Number of pages	3
Journal	Journal of Applied Physics
Volume	79
Issue number	8 PART 2A
DOIs	https://doi.org/10.1063/1.361312
State	Published - Apr 15 1996

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1063/1.361312

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abstract = "The effects of bond randomness are studied for spin chains with excitation gaps in the pure case. Systems with enforced topological structure like the spin-1/2 chain with enforced dimerization and spin-1 chain in the Haldane gapped phase appear very stable against randomness. On the other hand, systems with spontaneously generated topological order like the spin-1/2 chain with spontaneous dimerization are found to be unstable even for weak randomness despite the gap.",

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AU - Yang, Kun

AU - Hyman, R. A.

AU - Bhatt, R. N.

AU - Girvin, S. M.

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N2 - The effects of bond randomness are studied for spin chains with excitation gaps in the pure case. Systems with enforced topological structure like the spin-1/2 chain with enforced dimerization and spin-1 chain in the Haldane gapped phase appear very stable against randomness. On the other hand, systems with spontaneously generated topological order like the spin-1/2 chain with spontaneous dimerization are found to be unstable even for weak randomness despite the gap.

AB - The effects of bond randomness are studied for spin chains with excitation gaps in the pure case. Systems with enforced topological structure like the spin-1/2 chain with enforced dimerization and spin-1 chain in the Haldane gapped phase appear very stable against randomness. On the other hand, systems with spontaneously generated topological order like the spin-1/2 chain with spontaneous dimerization are found to be unstable even for weak randomness despite the gap.

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Effects of randomness in gapped antiferromagnetic quantum spin chains

Abstract

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