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Phase transitions in Z_N gauge theory and twisted Z_N topological phases
Maissam Barkeshli, Xiao-Gang Wen
We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z_N gauge theory by a continuous quantum phase transition. These non-Abelian stat…
Phase diagram of the Hubbard model on honeycomb lattice
Abolhassan Vaezi, Xiao-Gang Wen
In this paper we generalized the slave-particle technique to study the phase diagram of the Hubbard model on honeycomb lattice which may contain charge fluctuations. For large ,…
Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states
Maissam Barkeshli, Xiao-Gang Wen
We study continuous quantum phase transitions that can occur in bilayer fractional quantum Hall (FQH) systems as the interlayer tunneling and interlayer repulsion are tuned. We int…
A classification of 2D fermionic and bosonic topological orders
Zheng-Cheng Gu, Zhenghan Wang, Xiao-Gang Wen
The string-net approach by Levin and Wen, and the local unitary transformation approach by Chen, Gu, and Wen, provide ways to classify topological orders with gappable edge in 2D b…
Classification of Gapped Symmetric Phases in 1D Spin Systems
Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen
Quantum many-body systems divide into a variety of phases with very different physical properties. The question of what kind of phases exist and how to identify them seems hard esp…
Condensation of fractional excitons, non-Abelian states in double-layer quantum Hall systems and Z_4 parafermions
Edward Rezayi, Xiao-Gang Wen, N. Read
In this paper, we study a method to obtain non-Abelian FQH state through double-layer FQH states and fractional exciton condensation. In particular, we find that starting with the…