TY - JOUR

T1 - Exact solution and surface critical behaviour of open cyclic SOS lattice models

AU - Zhou, Yu Kui

AU - Batchelor, Murray T.

PY - 1996

Y1 - 1996

N2 - We consider the L-state cyclic solid-on-solid lattice models under a class of open boundary conditions. The integrable boundary face weights are obtained by solving the reflection equations. Functional relations for the fused transfer matrices are presented for both periodic and open boundary conditions. The eigenspectra of the unfused transfer matrix is obtained from the functional relations using the analytic Bethe ansatz. For a special case of crossing parameter λ = π/L, the finite-size corrections to the eigenspectra of the critical models are obtained, from which the corresponding conformal dimensions follow. The calculation of the surface free energy away from criticality yields two surface specific heat exponents, αs = 2 - L/2ℓ and α1 = 1 - L/ℓ, where ℓ = 1, 2, . . ., L - 1 coprime to L. These results are in agreement with the scaling relations αs = αb + ν and α1 = αb - 1.

AB - We consider the L-state cyclic solid-on-solid lattice models under a class of open boundary conditions. The integrable boundary face weights are obtained by solving the reflection equations. Functional relations for the fused transfer matrices are presented for both periodic and open boundary conditions. The eigenspectra of the unfused transfer matrix is obtained from the functional relations using the analytic Bethe ansatz. For a special case of crossing parameter λ = π/L, the finite-size corrections to the eigenspectra of the critical models are obtained, from which the corresponding conformal dimensions follow. The calculation of the surface free energy away from criticality yields two surface specific heat exponents, αs = 2 - L/2ℓ and α1 = 1 - L/ℓ, where ℓ = 1, 2, . . ., L - 1 coprime to L. These results are in agreement with the scaling relations αs = αb + ν and α1 = αb - 1.

UR - http://www.scopus.com/inward/record.url?scp=22244477375&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/29/9/014

DO - 10.1088/0305-4470/29/9/014

M3 - Article

AN - SCOPUS:22244477375

SN - 0305-4470

VL - 29

SP - 1987

EP - 1996

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 9

ER -