Continuous exponents of spin correlation functions of inhomogeneous layered ising models
作者： Barry M. McCoy , Jacques H. H. Perk
DOI: 10.1007/BFB0093496
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摘要: In this note we consider the inhomogeneous layered Ising model and present a general formalism for expressing as Toeplitz determinant correlation of two spins in row possessing reflection symmetry. For special case where there is one altered horizontal bonds E1′ an otherwise homogeneous lattice discuss correlations detail show that critical exponents β ν depend on E1′.
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Tai Tsun Wu, Barry M. McCoy, Craig A. Tracy, Eytan Barouch, Spin spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region Physical Review B. ,vol. 13, pp. 316- 374 ,(1976) , 10.1103/PHYSREVB.13.316
Barry M. McCoy, Incompleteness of the Critical Exponent Description for Ferromagnetic Systems Containing Random Impurities Physical Review Letters. ,vol. 23, pp. 383- 386 ,(1969) , 10.1103/PHYSREVLETT.23.383
J.H.H. Perk, H.W. Capel, Time-dependent xx-correlation functions in the one-dimensional XY-model Physica A-statistical Mechanics and Its Applications. ,vol. 89, pp. 265- 303 ,(1977) , 10.1016/0378-4371(77)90105-4
Barry M. McCoy, Tai Tsun Wu, Random Impurities as the Cause of Smooth Specific Heats Near the Critical Temperature Physical Review Letters. ,vol. 21, pp. 549- 551 ,(1968) , 10.1103/PHYSREVLETT.21.549
Barry M. McCoy, Jacques H. H. Perk, Two-Spin Correlation Functions of an Ising Model with Continuous Exponents Physical Review Letters. ,vol. 44, pp. 840- 844 ,(1980) , 10.1103/PHYSREVLETT.44.840
Tai Tsun Wu, Theory of Toeplitz Determinants and the Spin Correlations of the Two-Dimensional Ising Model. I Physical Review. ,vol. 149, pp. 380- 401 ,(1967) , 10.1103/PHYSREV.149.380
Eytan Barouch, Barry M. McCoy, Tai Tsun Wu, Zero-Field Susceptibility of the Two-Dimensional Ising Model near T c . Physical Review Letters. ,vol. 31, pp. 1409- 1411 ,(1973) , 10.1103/PHYSREVLETT.31.1409
Michael E. Fisher, Arthur E. Ferdinand, Interfacial, Boundary, and Size Effects at Critical Points Physical Review Letters. ,vol. 19, pp. 169- 172 ,(1967) , 10.1103/PHYSREVLETT.19.169
Lars Onsager, Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition Physical Review. ,vol. 65, pp. 117- 149 ,(1944) , 10.1103/PHYSREV.65.117
Tai Tsun Wu, Barry M. McCoy, The Two-Dimensional Ising Model ,(1973)