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• W2122846897 abstract "We compute critical properties of a general class of quantum spin chains which are quadratic in the Fermi operators and can be solved exactly under certain symmetry constraints related to the classical compact groups U(N),O(N), and Sp(2N). In particular we calculate critical exponents s,ν, and z, corresponding to the energy gap, correlation length, and dynamic exponent, respectively. We also compute the ground state correlators 〈σ_{i}^{x}σ_{i+n}^{x}〉_{g},〈σ_{i}^{y}σ_{i+n}^{y}〉_{g}, and 〈∏_{i=1}^{n}σ_{i}^{z}〉_{g}, all of which display quasi-long-range order with a critical exponent dependent upon system parameters. Our approach establishes universality of the exponents for the class of systems in question." @default.
• W2122846897 created "2016-06-24" @default.
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• W2122846897 date "2015-09-04" @default.
• W2122846897 modified "2023-10-04" @default.
• W2122846897 title "Random matrix theory and critical phenomena in quantum spin chains" @default.
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• W2122846897 doi "https://doi.org/10.1103/physreve.92.032106" @default.
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