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

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.

7 pages, revtex

References in corpus (6)

• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Theory of directed localization in one dimension
• Winding Numbers, Complex Currents, and Non-Hermitian Localization
• Quantum Disordered Systems with a Direction
• Random Dirac Fermions and Non-Hermitian Quantum Mechanics
• Vortex Pinning and the Non-Hermitian Mott Transition

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