Nontrivial Haldane Phase of an Atomic Two-Component Fermi Gas Trapped in a 1D Optical Lattice

Abstract

We propose a method to create a nontrivial Haldane phase in an atomic two-component Fermi gas loaded on a one-dimensional optical lattice with trap potential. The Haldane phase is naturally formed on a $p$-band Mott core in a wide range of the strong on-site repulsive interaction. The present proposal is composed of two steps, one of which is theoretical derivation of an effective 1D $S=1$ interacting-chain model from the original tight-binding Hamiltonian handling the two $p$ orbitals, and the other of which is a numerical demonstration employing the density-matrix renormalization group for the formation of the Haldane phase on a $p$-band Mott core and its associated features in the original tight-binding model with the harmonic trap potential.

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• Physical Review Letters - View
• arXiv (Cornell University) - View - PDF
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