Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder

Leonardo Mazza; Monika Aidelsburger; Hong-Hao Tu; Nathan Goldman; Michele Burrello

doi:10.1088/1367-2630/17/10/105001

Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder

Leonardo Mazza, Monika Aidelsburger, Hong-Hao Tu, Nathan Goldman, Michele Burrello

24 Citations (Scopus)

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Abstract

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase of this ladder through the identification of fractionalized edge modes and non-trivial spin winding numbers. We propose an experimental scheme to engineer such a ladder system with cold atoms in optical lattices, and we present two protocols that can be used to extract the topological signatures from density and momentum-distribution measurements. We then consider the presence of interactions and discuss the effects of a contact on-site repulsion on the topological phase. We find that such interactions could enhance the extension of the topological phase in certain parameters regimes.

Original language	English
Journal	New Journal of Physics
Volume	17
Issue number	10
Pages (from-to)	105001
ISSN	1367-2630
DOIs	https://doi.org/10.1088/1367-2630/17/10/105001
Publication status	Published - 30 Sept 2015
Externally published	Yes

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10.1088/1367-2630/17/10/105001

Mazza_2015_New_J._Phys._17_105001Final published version, 1.52 MBLicence: CC BY

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T1 - Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder

AU - Mazza, Leonardo

AU - Aidelsburger, Monika

AU - Tu, Hong-Hao

AU - Goldman, Nathan

AU - Burrello, Michele

PY - 2015/9/30

Y1 - 2015/9/30

N2 - We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase of this ladder through the identification of fractionalized edge modes and non-trivial spin winding numbers. We propose an experimental scheme to engineer such a ladder system with cold atoms in optical lattices, and we present two protocols that can be used to extract the topological signatures from density and momentum-distribution measurements. We then consider the presence of interactions and discuss the effects of a contact on-site repulsion on the topological phase. We find that such interactions could enhance the extension of the topological phase in certain parameters regimes.

AB - We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase of this ladder through the identification of fractionalized edge modes and non-trivial spin winding numbers. We propose an experimental scheme to engineer such a ladder system with cold atoms in optical lattices, and we present two protocols that can be used to extract the topological signatures from density and momentum-distribution measurements. We then consider the presence of interactions and discuss the effects of a contact on-site repulsion on the topological phase. We find that such interactions could enhance the extension of the topological phase in certain parameters regimes.

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JO - New Journal of Physics

JF - New Journal of Physics

IS - 10

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Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder

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