Journal
PHYSICAL REVIEW B
Volume 90, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.90.115426
Keywords
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Funding
- Harvard Quantum Optics Center
- FAME (an SRC STARnet center by MARCO)
- FAME (an SRC STARnet center by DARPA)
- Kavli Institute for Theoretical Physics [NSF PHY11-25915]
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We consider the quantum spin Hall effect in an anisotropic strip of stripes and address both integer and fractional filling factors. The first model is based on a gradient of spin-orbit interaction in the direction perpendicular to the stripes. The second model is based on two weakly coupled strips with reversed dispersion relations. We demonstrate that these systems host helical modes, i.e., modes in which opposite spins propagate in opposite directions. In the integer regime, the modes carry an elementary electron charge whereas in the fractional regime they carry fractional charges, and their excitations possess anyonic braiding statistics. These simple quasi-one-dimensional models can serve as a platform for understanding effects arising due to electron-electron correlations in topological insulators.
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