Fermionic Symmetry Protected Topological Phase Induced by Interactions

Abstract

Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation and time reversal symmetry on a three-leg ladder using density-matrix renormalization group. In the non-interacting limit, there are no topological phases. Turning on interactions, we found two gapped phases. One is trivial and is adiabatically connected to a band insulator, while another one is a nontrivial symmetry protected topological phase resulting from strong interactions.

5 page, 6 figures

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Cited by in corpus (6)

• Classification of topological quantum matter with symmetries
• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Characterization of a correlated topological Kondo insulator in one dimension
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