Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model

1998/06/02 by Takahiro Fukui, T. Fukui, Norio Kawakami +1 · 3 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dissipative system #Electrical resistivity and conductivity #Hubbard model #Insulator (electricity) #Mathematics #Metal–insulator transition #Monotonic function #Mott insulator #Mott transition #Physics #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Superconductivity #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.58.16051

7 pages, revtex

arxiv created 1998/06/02 · openalex publication_date 1998/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The breakdown of the Mott insulator is studied when the dissipative tunneling into the environment is introduced to the system. By exactly solving the one-dimensional asymmetric Hubbard model, we show how such a breakdown of the Mott insulator occurs. As the effect of the tunneling is increased, the Hubbard gap is monotonically decreased and finally disappears, resulting in the insulator-metal transition. We discuss the origin of this quantum-phase transition in comparison with other non-Hermitian systems recently studied.

Citations

• Possible highT c superconductivity in the Ba?La?Cu?O system
• Quantum Inverse Scattering Method and Correlation Functions
• Vortex pinning and non-Hermitian quantum mechanics
• Quantum Disordered Systems with a Direction
• Theory of directed localization in one dimension
• Electron correlations in narrow energy bands

Cited by

• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Spin-depairing transition of attractive Fermi gases on a ring driven by synthetic gauge fields
• Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model