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Introduction and Guide to This Text
The I sing Model
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2D Ising model antiferromagnet applied field arbitrary behavior bonds boundary conditions calculation chain commute configurations constant correlation functions cosh critical exponent critical point critical temperature define denoted derivatives diagonal dimensions discontinuity diverges eigenvalue eigenvector entropy equation evaluate expansion exponential expression external field factor fermion ferromagnet finite formula free energy Gaussian model given Hamiltonian Heisenberg high-temperature integral interactions internal energy Ising model Lett linear logarithmically low temperature M.E. Fisher magnetic field magnon Mattis mean-field theory molecular field nearest-neighbor normal modes obtain operators order parameter overturned spins partition function Pauli Pauli matrices phase transition Phys plane Problem properties quantities quantum random sinh 2K solution solve specific heat spherical model spin glass spontaneous magnetization sq lattice statistical mechanics sublattice Sykes symmetry thermal average thermodynamic limit tion transfer matrix transformation vanishes XY model yields zero zero-field