The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Theory of a Two-Dimensional Ising Model with Random Impurities. I. Thermodynamics
Abstract
Recent experiments demonstrate that at the Curie temperature the specific heat may be a smooth function of the temperature. We propose that this effect can be due to random impurities and substantiate our proposal by a study of an Ising model containing such impurities. We modify the usual rectangular lattice by allowing each row of vertical bonds to vary randomly from row to row with a prescribed probability function. In the case that this probability is a particular distribution with a narrow width, we find that the logarithmic singularity of Onsager's lattice is smoothed out into a function which at ${T}_{c}$ is infinitely differentiable but not analytic. This function is expressible in terms of an integral involving Bessel functions and is computed numerically.
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Citations
Cites
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
Onsager, L. (1944) · Physical Review · doi:10.1103/physrev.65.117 · Cited by 6,510
Higher transcendental functions
Hammer, C. (1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90080-0 · Cited by 6,211
The Spontaneous Magnetization of a Two-Dimensional Ising Model
Yang, C. N. (1952) · Physical Review · doi:10.1103/physrev.85.808 · Cited by 1,221
Furstenberg, H. (1963) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1963-0163345-0 · Cited by 984
Theory of Toeplitz Determinants and the Spin Correlations of the Two-Dimensional Ising Model. IV
McCoy, B. M., & Wu, T. T. (1967) · Physical Review · doi:10.1103/physrev.162.436 · Cited by 195
Self-citationA Statistical Model for the Dilute Ferromagnet
Syôzi, I., & Miyazima, S. (1966) · Progress of Theoretical Physics · doi:10.1143/ptp.36.1083 · Cited by 99
Statistical Model for Dilute Ferromagnetism
Syôzi, I. (1965) · Progress of Theoretical Physics · doi:10.1143/ptp.34.189 · Cited by 58
Cited by
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
How to detect fluctuating stripes in the high-temperature superconductors
Kivelson, S. A., Bindloss, I. P., Fradkin, E., Oganesyan, V., Tranquada, J. M., Kapitulnik, A., & Howald, C. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.1201 · Cited by 1,369
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
Random transverse field Ising spin chains
Fisher, D. S. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.534 · Cited by 637
Application of the renormalization group to phase transitions in disordered systems
Grinstein, G., & Luther, A. (1976) · Physical Review B · doi:10.1103/physrevb.13.1329 · Cited by 531
Metadata
- Authors
- McCoy, B. M., & Wu, T. T.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1968-12-10
- Volume
- 176
- Issue
- 2
- Pages
- 631-643
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2082222150
- Cited by
- 400
- References
- 7
- FWCI
- 3.32
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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