P A Kalugin 1997 J. Phys. A: Math. Gen. 30 7077 doi:10.1088/0305-4470/30/20/013
Low-lying excitations in the square - triangle random tiling model
P A Kalugin
Show affiliationsWe consider the sub-dominant eigenstates of the transfer matrix for the square - triangle random tiling model on an infinite strip of width L. A numerical algorithm for generation of the corresponding solution of the Bethe ansatz is developed. Numerical finite-size scaling analysis of the associated eigenvalues reveals the presence of both integer and non-integer critical exponents. The analytical value of one of the non-integer exponents is found. It is also shown numerically that, along with the leading 
correction to the free-energy density, for some excitations there is a term proportional to 
.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
02.60.-x Numerical approximation and analysis
- MSC
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15A18 Eigenvalues, singular values, and eigenvectors
82B23 Exactly solvable models; Bethe ansatz
82B30 Statistical thermodynamics (See also 80-XX)
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.)
- Subjects
- Dates
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Issue 20 (21 October 1997)
Received 18 April 1997, in final form 14 July 1997
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Low-lying excitations in the square - triangle random tiling model
P A Kalugin 1997 J. Phys. A: Math. Gen. 30 7077
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