Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

作者: Meng Cheng , Meng Cheng , Zhenghan Wang , Iris Cong , Iris Cong

DOI: 10.1007/S00220-017-2960-4

关键词:

摘要: We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. classify the elementary excitations on boundary, and systematically describe bulk-to-boundary condensation procedure. also parallel algebraic/categorical structure boundaries.

参考文章(68)
Peter Schauenburg, Hopf modules and the double of a quasi-Hopf algebra Transactions of the American Mathematical Society. ,vol. 354, pp. 3349- 3378 ,(2002) , 10.1090/S0002-9947-02-02980-X
Bojko Bakalov, Alexander Kirillov, Lectures on tensor categories and modular functors American Mathematical Society. ,vol. 21, ,(2000) , 10.1090/ULECT/021
Shawn X. Cui, Seung-Moon Hong, Zhenghan Wang, Universal quantum computation with weakly integral anyons Quantum Information Processing. ,vol. 14, pp. 2687- 2727 ,(2015) , 10.1007/S11128-015-1016-Y
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, TFT construction of RCFT correlators IV: Structure constants and correlation functions Nuclear Physics. ,vol. 715, pp. 539- 638 ,(2005) , 10.1016/J.NUCLPHYSB.2005.03.018
H. Bombin, M. A. Martin-Delgado, Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement Physical Review B. ,vol. 78, pp. 115421- ,(2008) , 10.1103/PHYSREVB.78.115421
Xiao-Gang Wen, Liang Kong, Hao Zheng, Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers arXiv: Strongly Correlated Electrons. ,(2015)
David J. Clarke, Jason Alicea, Kirill Shtengel, Exotic non-Abelian anyons from conventional fractional quantum Hall states Nature Communications. ,vol. 4, pp. 1348- ,(2013) , 10.1038/NCOMMS2340
Maissam Barkeshli, Chao-Ming Jian, Xiao-Liang Qi, Twist defects and projective non-Abelian braiding statistics Physical Review B. ,vol. 87, pp. 045130- ,(2013) , 10.1103/PHYSREVB.87.045130
Parsa Bonderson, Maissam Barkeshli, Meng Cheng, Zhenghan Wang, Symmetry, Defects, and Gauging of Topological Phases arXiv: Strongly Correlated Electrons. ,(2014)