 Research Topics Approaches
[ Analytical methods ]
- Bethe ansatz (exact solutions)
- Rigorous proof
- Perturbative expansion
- Ramdom phase approximation (RPA) with respect to interchain coulpings
- Expansion with respect to inter-rung hopping
- Expansion around the Ising limit
- Scaling analysis
- Mean-field approximation
[ Numerical methods ]
- Quantum Monte Carlo
For spin systems,
- Cluster algorithm
- (Directed) loop algorithm
For electron systems,
- Auxiliary-field Monte Carlo
- Power-Lanczos Monte Carlo
- Density -Matrix Renormalization Group (DMRG) method
- Ground state
- Dynamical DMRG method
- Non-Abelian dynamical DMRG method
- Cluster Perturbation Theory (CPT)
- Path-Integral Renormalization Group (PIRG) method
- Exact diagonalization method
- Lanczos method
- Level spectroscopy
- Maximum entropy
|
|
