The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Superconducting proximity effect on the edge of fractional topological insulators
Open accessAbstract
We study the superconducting proximity effect on the helical edge states of time-reversal-symmetric fractional topological insulators (FTI). The Cooper pairing of physical electrons results in many-particle condensation of the fractionalized excitations on the edge. We find localized zero-energy modes emerge at interfaces between superconducting regions and magnetically insulating regions, which are responsible for the topological degeneracy of the ground states. By mapping the low-energy effective Hamiltonian to the quantum chiral Potts model, we determine the operator algebra of the zero modes and show that they exhibit nontrivial braiding properties. We then demonstrate that the Josephson current in the junction between superconductors mediated by the edge states of the FTI exhibit fractional Josephson effect with period as multiples of $4\ensuremath{\pi}$.
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Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Cited by
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Symmetry fractionalization, defects, and gauging of topological phases
Barkeshli, M., Bonderson, P., Cheng, M., & Wang, Z. (2019) · Physical Review B · doi:10.1103/physrevb.100.115147 · Cited by 533
Self-citationUniversal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure
Mong, R. S. K., Clarke, D. J., Alicea, J., Lindner, N. H., Fendley, P., Nayak, C., Oreg, Y., Stern, A., Berg, E., Shtengel, K., et al. (2014) · Physical Review X · doi:10.1103/physrevx.4.011036 · Cited by 366
Topological Quantum Computation—From Basic Concepts to First Experiments
Stern, A., & Lindner, N. H. (2013) · Science · doi:10.1126/science.1231473 · Cited by 342
Twist defects and projective non-Abelian braiding statistics
Barkeshli, M., Jian, C.-M., & Qi, X.-L. (2013) · Physical Review B · doi:10.1103/physrevb.87.045130 · Cited by 275
Metadata
- Authors
- Cheng, M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-11-16
- Volume
- 86
- Issue
- 19
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1980009352
- Cited by
- 228
- References
- 7
- FWCI
- 10.14
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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