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Hamiltonian studies of thed=2Ashkin-Teller model
Abstract
We study a one-dimensional quantum Hamiltonian problem which is equivalent to a highly anisotropic version of the two-dimensional Ashkin-Teller model. This problem is studied by using its duality and other symmetry properties, by a consideration of its limiting cases, and by mapping it into an $\mathrm{XXZ}$ linear chain which is equivalent to a highly anisotropic six-vertex model. In addition eleventh-order strong-coupling series are used to derive numerical data about the Hamiltonian problem. By these means a phase diagram is obtained. The essentially new feature of this diagram is a "critical fan," i.e., a region where a line of continuously varying criticality "fans out" and becomes an area of critical behavior.
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Citations
Cites
An introduction to lattice gauge theory and spin systems
Kogut, J. B. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.659 · Cited by 2,029
Cited by
Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains
den Nijs, M., & Rommelse, K. (1989) · Physical Review B · doi:10.1103/physrevb.40.4709 · Cited by 936
Self-citationSurface exponents of the quantum XXZ, Ashkin-Teller and Potts models
Alcaraz, F. C., Barber, M. N., Batchelor, M. T., Baxter, R. J., & Quispel, G. R. W. (1987) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/20/18/038 · Cited by 522
Global quantum discord in multipartite systems
Rulli, C. C., & Sarandy, M. S. (2011) · Physical Review A · doi:10.1103/physreva.84.042109 · Cited by 311
Au-Yang, H., McCoy, B. M., Perk, J. H. H., Tang, S., & Yan, M.-L. (1987) · Physics Letters A · doi:10.1016/0375-9601(87)90065-x · Cited by 270
Metadata
- Authors
- Kohmoto, M., den Nijs, M., & Kadanoff, L. P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1981-11-01
- Volume
- 24
- Issue
- 9
- Pages
- 5229-5241
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2332151856
- Cited by
- 225
- References
- 1
- FWCI
- 2.93
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kohmoto, M., den Nijs, M., & Kadanoff, L. P. (1981). Hamiltonian studies of thed=2Ashkin-Teller model. Physical Review B. https://doi.org/10.1103/physrevb.24.5229
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