Statistical Physics Group

Team 106, Jean Lamour Institute

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Articles in peer-reviewed journals

 INHOMOGENEOUS ISING CHAIN IN A TRANSVERSE FIELD - FINITE-SIZE SCALING AND ASYMPTOTIC CONFORMAL SPECTRUM Berche B., Turban L. Journal of Physics A: Mathematical and General 23 (1990) 3029 DOI : 10.1088/0305-4470/23/13/037 The quantum version of the Hilhorst-van Leeuwen model i.e. an inhomogeneous Ising model in a transverse field with a marginal perturbation of the bulk interaction varying like l-1 with the distance l from the surface is studied numerically on a finite chain with symmetric interactions using fermion techniques and finite-size scaling at the bulk critical point. The surface exponents for the energy and the magnetisation are respectively xe=2 alpha +2, xm= alpha +1/2 when alpha >or= alpha c and xe=- alpha +1/2, xm=0 and x'm=- alpha -1/2 when alpha