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This article is cited in 3 scientific papers (total in 3 papers)
On the Coordinate of a Singular Point of the Time Correlation Function for a Spin System on a Simple Hypercubic Lattice at High Temperatures
V. E. Zobova, M. A. Popovb a L. V. Kirensky Institute of Physics, Siberian Branch of the Russian Academy of Sciences
b Krasnoyarsk State University
Abstract:
Using the $d^{-1}$ expansion method ($d$ is the space dimension), we estimate the coordinate of the time-dependent autocorrelation function singular point on the imaginary time axis for the spin 1/2 Heisenberg model on a simple hypercubic lattice at high temperatures. We represent the coefficients of the time expansion (the spectral moments) for the autocorrelation function as the sums of the weighted lattice figures in which the trees constructed from the double bonds give the leading contributions with respect to $d^{-1}$ and the same trees with the built-in squares from six bonds or diagrams with the fourfold bonds give the contribution of the next-to-leading order. We find the corrections to the coordinate of the autocorrelation function singular point that are due to the latter contributions.
Received: 23.07.2001 Revised: 25.10.2001
Citation:
V. E. Zobov, M. A. Popov, “On the Coordinate of a Singular Point of the Time Correlation Function for a Spin System on a Simple Hypercubic Lattice at High Temperatures”, TMF, 131:3 (2002), 491–502; Theoret. and Math. Phys., 131:3 (2002), 862–872
Linking options:
https://www.mathnet.ru/eng/tmf342https://doi.org/10.4213/tmf342 https://www.mathnet.ru/eng/tmf/v131/i3/p491
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