Interpolation Between Dimensions
A method is presented which allows one to interpolate between integer dimensions in a translationally invariant fashion using finite size transfer matrices. For the ferromagnetic Ising model an exact solution is presented for interpolation between isolated spins and d = 1, and finite strip calculations are presented for interpolation between d= 1 and d= 2. A possible application of this interpolation scheme is the numerical study of quantum spin systems.
KeywordsPartition Function Ising Model Transfer Matrix Quantum Spin System Finite Strip
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