Topological Phases of Fermionic Ladders with Periodic Magnetic Fields

Abstract

In recent experiments bosonic [Atala et al., Nat. Phys. 10, 588 (2014), B. K. Stuhl et al., Science 349, 1514 (2015)] as well as fermionic ladders [M. Mancini et al., Science 349, 1510 (2015)] with a uniform flux were studied and different interesting many-body states were observed. Motivated by these experiments, we extend the uniform synthetic magnetic field to a periodic case and show that a commensurate synthetic magnetic field offers an alternative scheme to realize topological phases in many-body systems of ultra-cold Fermi gases in ladder-like optical lattices. Using the exact diagonalization, we numerically determine the topological band structure, edge states, non-zero Chern numbers, Hofstadter-like-butterfly spectrum, and a complete phase diagram of non-interacting fermionic ladders.

5 pages, 5 figures

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Topology induced anomalous defect production by crossing a quantum critical point
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Theory of Bosons in two-leg ladders with large magnetic fields
• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Fractional Fermions with Non-Abelian Statistics
• Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators

Cited by in corpus (12)

• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Pretopological fractional excitations in the two-leg flux ladder
• Topological phases in odd-legs frustrated synthetic ladders
• Phase controlled metal-insulator transition in multi-leg quasiperiodic optical lattices
• Enhancement of crossed Andreev reflection in a Kitaev ladder connected to normal metal leads
• Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice
• Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional System
• Emergent bosons in the fermionic two-leg flux ladder
• Quantum phases of two-component bosons on the Harper-Hofstadter ladder
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Transport in a long-range Kitaev ladder: role of Majorana and subgap Andreev states
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices