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Exactly solvable model for two-dimensional topological superconductors

Wang, Zitao and Ning, Shang-Qiang and Chen, Xie (2018) Exactly solvable model for two-dimensional topological superconductors. Physical Review B, 98 (9). Art. No. 094502. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20171023-101545053

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Abstract

In this paper, we present an exactly solvable model for two-dimensional topological superconductors with helical Majorana edge modes protected by time-reversal symmetry. Our construction is based on the idea of decorated domain walls and makes use of the Kasteleyn orientation on a two-dimensional lattice, which was used for the construction of the symmetry protected fermion phase with Z_2 symmetry by Tarantino et al. and Ware et al. By decorating the time-reversal domain walls with spinful Majorana chains, we are able to construct a commuting projector Hamiltonian with zero correlation length ground state wave function that realizes a strongly interacting version of the two-dimensional topological superconductor. From our construction, it can be seen that the T_2 = −1 transformation rule for the fermions is crucial for the existence of such a nontrivial phase; with T_2 = 1, our construction does not work.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.98.094502DOIArticle
https://arxiv.org/abs/1708.01684arXivDiscussion Paper
ORCID:
AuthorORCID
Wang, Zitao0000-0002-2326-2674
Alternate Title:Exactly Solvable Model for Two Dimensional Topological Superconductor
Additional Information:© 2018 American Physical Society. Received 27 August 2017; revised manuscript received 16 August 2018; published 4 September 2018. X.C. would like to thank Lukasz Fidkowski, Qing-Rui Wang, Zheng-Xin Liu, and Jason Alicea for inspiring discussions and the Kavli Institute for Theoretical Sciences for hosting when some of the discussion happened. X.C. is supported by National Science Foundation under Award No. DMR-1654340, the Walter Burke Institute for Theoretical Physics, and the Institute for Quantum Information and Matter. S.-Q.N. is supported by NSFC (Grant No. 11574392), the Ministry of Science and Technology of China (Grant No. 2016YFA0300504), and the Fundamental Research Funds for the Central Universities and the Research Funds of Renmin University of China (Grant No. 15XNLF19). X.C. and Z.W. would also like to thank the Institute for Advanced Study at Tsinghua University for hosting when this paper was being written.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1654340
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
National Natural Science Foundation of China11574392
Ministry of Science and Technology (China)2016YFA0300504
Renmin University of China15XNLF19
Record Number:CaltechAUTHORS:20171023-101545053
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171023-101545053
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82574
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Oct 2017 19:15
Last Modified:19 Sep 2018 18:31

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