Exact multielectronic electron-concentration-dependent ground states for disordered two-dimensional two-band systems in the presence of disordered hoppings and finite on-site random interactions

2003/11/17 by Zsolt Gulácsi, Zsolt Gulacsi
Physics and Astronomy · #Quantum and electron transport phenomena #Theoretical and Computational Physics #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.69.054204

published as Phys. Rev. B69, 054204 (2004). · Accepted for publication in Phys. Rev. B

arxiv created 2003/11/17 · openalex publication_date 2004/02/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We report exact multielectronic ground states dependent on electron concentration for quantum-mechanical two-dimensional disordered two-band-type many-body models in the presence of disordered hoppings and disordered repulsive finite Hubbard interactions, in fixed lattice topology considered provided by Bravais lattices. The obtained ground states lose their eigenfunction character for independent electron approximation, are perturbatively not connected to the noninteracting but disordered case, and describe a localization-delocalization transition driven by the electron concentration, being highly degenerated and paramagnetic.

Citations

• Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
• Quantum spin chains with nonlocally-correlated random exchange coupling and random-mass Dirac fermions
• Exact eigenstates of tight-binding Hamiltonians on the Penrose tiling
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