Disordered impenetrable two-component fermions in one dimension
Abstract
We study the one-dimensional Hubbard model for two-component fermions with infinitely strong on-site repulsion (t −0 model) in the presence of disorder. Our analytical treatment demonstrates that the type of disorder drastically changes the nature of the emerging phases. The case of spin-independent disorder can be treated as a single-particle problem with Anderson localization. On the contrary, recent numerical findings show that spin-dependent disorder, which can be realized as a random magnetic field, leads to the many-body localization-delocalization transition. We find an explicit analytic expression for the matrix elements of the random magnetic field between the eigenstates of the t −0 model with potential disorder on a finite lattice. Analysis of the matrix elements supports the existence of the many-body localization-delocalization transition in this system and provides an extended physical picture of the random magnetic field.
- Publication:
-
Physical Review B
- Pub Date:
- May 2023
- DOI:
- 10.1103/PhysRevB.107.184202
- arXiv:
- arXiv:2112.06895
- Bibcode:
- 2023PhRvB.107r4202K
- Keywords:
-
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- Phys. Rev. B 107, 184202 (2023)