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- W2088405417 abstract "We present exact calculations of the partition function of the q-state Potts model for general q and temperature on strips of the square lattice of width L_y=3 vertices and arbitrary length L_x with periodic longitudinal boundary conditions, of the following types: (i) (FBC_y,PBC_x)= cyclic, (ii) (FBC_y,TPBC_x)= Mobius, (iii) (PBC_y,PBC_x)= toroidal, and (iv) (PBC_y,TPBC_x)= Klein bottle, where FBC and (T)PBC refer to free and (twisted) periodic boundary conditions. Results for the L_y=2 torus and Klein bottle strips are also included. In the infinite-length limit the thermodynamic properties are discussed and some general results are given for low-temperature behavior on strips of arbitrarily great width. We determine the submanifold in the {mathbb C}^2 space of q and temperature where the free energy is singular for these strips. Our calculations are also used to compute certain quantities of graph-theoretic interest." @default.
- W2088405417 created "2016-06-24" @default.
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- W2088405417 date "2001-07-01" @default.
- W2088405417 modified "2023-10-18" @default.
- W2088405417 title "Exact Potts model partition functions on wider arbitrary-length strips of the square lattice" @default.
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- W2088405417 doi "https://doi.org/10.1016/s0378-4371(01)00142-x" @default.
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