SM8 · Ising & lattice models
A 20-module path through sm8 · ising & lattice models, in study order from foundations to the frontier.
Modules
- The Ising Model: Definition and Hamiltonian
- Order Parameter and Spontaneous Magnetization
- One-Dimensional Ising Model and Transfer Matrix Method
- Transfer Matrix Formalism for Lattice Models
- Mean-Field (Weiss) Theory of the Ising Model
- Bethe-Peierls Approximation
- Lattice Gas Model and Ising Mapping
- Binary Alloy Order-Disorder Transition
- Peierls Argument for Long-Range Order
- Domain Walls and Interfacial Excitations
- Kramers-Wannier Duality
- High- and Low-Temperature Series Expansions
- Onsager Solution of the Two-Dimensional Ising Model
- Spontaneous Magnetization of the 2D Ising Model
- The Potts Model
- The XY Model and Continuous Spins
- Mermin-Wagner Theorem and Lower Critical Dimension
- Correlation Functions and Correlation Length in Lattice Models
- Exact Mappings to Free Fermions and the Onsager Algebra
- Antiferromagnetism and Frustration on Lattices