PHYS 848 ADVANCED STATISTICAL PHYSICS Ohio State

Physics 848: Problem Set I Due Thursday, October 6 at 11:59 PM Note: each problem is worth 10 points unless otherwise stated. 1. Use the method presented in class to obtain the exact partition of the one-dimensional antiferromagnetic Ising model in

Physics 848: Problem Set 2 Due Tuesday, October 18 at 11:59 PM Note: each problem is worth 10 points unless otherwise stated. 1. (10 points). Spin-spin correlation function for the Ising model in 1d. Consider the ferromagnetic Ising model in 1D with

Physics 848: Problem Set 3 Due Thursday, October 27 at 11:59 PM Note: each problem is worth 10 points unless otherwise stated. 1. Consider the anisotropic spin-1/2 Heisenberg model, with Hamiltonian given by H = -J ij 1 Siz Sjz - J 2 (Si+ Sj- + Si