Physical systems
Systems I worked on:
- Atomic nanowires on semiconducting substrates.
- Luttinger liquids in spinless fermion ladders.
- Cuprate superconductors.
- Novel magnets of interacting low dimensional systems.
- Symmetry protected topological phases and topological insulators.
Systems I am interested to work on:
- Correlated quantum 2D systems.
- Transport and out-of-equilibrium dynamics of quantum low dimensional systems.
- Disordered quantum systems.
Analytical and computational methods
Methods I used:
- Density matrix renormailzatuion group (DMRG)/ Variational Matirx Product states (VMPS).
- Exact diagonalization (ED).
- Mean Field Theory and Hartree-Fock approximation.
Methods I am intersting to learn:
- Tensor Network States (TNS).
- Quantum Monte carlo.
- Quantum embedding methods.
- Bosonization and field theoretical methods.
- Analytical exact methods for low dimensional quantum systems.
- Density functional theory for low dimensional quantum systems.
