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Low-temperature properties of the random Heisenberg antiferromagnetic chain
Abstract
The one-dimensional quantum spin-\textonehalf{} Heisenberg antiferromagnetic model with randomly distributed interaction strengths is solved approximately for several different distributions. Ground-state energy and low-temperature properties are evaluated. Universal qualitative features are found in the specific heat and the magnetic susceptibility, which display a power-law dependence on temperature. Such features hold for nonsingular distributions as well as for distributions with power-law divergence at the origin. The approximate method of solution is based on successive eliminations of spins coupled by the maximum coupling constant.
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Citations
Cited by
Gapless spin-fluid ground state in a random quantum Heisenberg magnet
Sachdev, S., & Ye, J. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3339 · Cited by 1,910
Predicting many properties of a quantum system from very few measurements
Huang, H.-Y., Kueng, R., & Preskill, J. (2020) · Nature Physics · doi:10.1038/s41567-020-0932-7 · Cited by 1,240
Belitz, D., & Kirkpatrick, T. R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.261 · Cited by 991
Critical behavior of random transverse-field Ising spin chains
Fisher, D. S. (1995) · Physical Review B · doi:10.1103/physrevb.51.6411 · Cited by 826
Excitation dynamics in random one-dimensional systems
Alexander, S., Bernasconi, J., Schneider, W. R., & Orbach, R. (1981) · Reviews of Modern Physics · doi:10.1103/revmodphys.53.175 · Cited by 756
Metadata
- Authors
- Dasgupta, C., & Ma, S.-K.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1980-08-01
- Volume
- 22
- Issue
- 3
- Pages
- 1305-1319
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2016751437
- Cited by
- 500
- References
- 0
- FWCI
- 4.14
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dasgupta, C., & Ma, S.-K. (1980). Low-temperature properties of the random Heisenberg antiferromagnetic chain. Physical Review B. https://doi.org/10.1103/physrevb.22.1305
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