Coexistence of insulating phases in confined fermionic chains with a Wannier-Stark potential

Abstract

We study fermions on a finite chain, interacting repulsively when residing on the same and on nearest-neighbor sites, and subjected to a Wannier-Stark linearly-varying potential. Using the density matrix renormalization-group numerical technique to solve this generalized extended Hubbard model, the ground state exhibits a staircase of (quasi) plateaus in the average local site density along the chain, decreasing from being doubly-filled to empty as the potential increases. These `plateaus' represent locked-in commensurate phases of charge density waves together with band and Mott insulators. These phases are separated by incompressible regions with incommensurate fillings. It is suggested that experimental variations of the slope of the potential and of the range of the repulsive interactions will produce such a coexistence of phases which have been individually expected theoretically and observed experimentally for uniform systems.

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• New Trends in Density Matrix Renormalization
• Tensor Network Algorithms: a Route Map
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Correlated electronic states at domain walls of a Mott-charge-density-wave insulator 1T-TaS2
• The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram and Thermodynamics
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
• Wannier-Stark ladders and Stark shifts of excitons in Mott insulators
• Edge Reconstruction of a Time-Reversal Invariant Insulator: Compressible-Incompressible Stripes