Raffaele Resta has a very helpful review article The insulating state of matter: a geometrical theory.
It elegantly connects what to me are a rather disparate range of topics:
Kohn's classic 1964 characterisation of insulators, Berry's phase, Chern numbers, periodic versus open boundary conditions, quantum metrics, Anderson localization, Mott insulators, Quantum Hall insulators, ....
A central quantity defines the "localisation" associated with the ground state wavefunction.
In a 1999 PRL Resta and Sorella introduced this quantity and showed how it diverged at the quantum phase transition between a band insulator and a Mott insulator in a one-dimensional ionic Hubbard model.
In a 2006 J. Chem. Phys. paper Resta connects this localisation to Boy's localisation in quantum chemistry.
Subscribe to:
Post Comments (Atom)
Lecture on Debye model for solids
I just finished preparing my undergraduate lecture on the Debye model for solids. Here are my slides . The course is a third-year course on...
No comments:
Post a Comment