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Tensor-product representations for string-net condensed states
Zheng-Cheng Gu, Michael Levin, Brian Swingle +1
We show that general string-net condensed states have a natural representation in terms of tensor product states (TPS) . These TPS's are built from local tensors. They can describe…
Tensor-entanglement renormalization group approach to topological phases
Zheng-Cheng Gu, Michael Levin, Xiao-Gang Wen
The tensor-entanglement renormalization group approach is applied to Hamiltonians that realize a class of topologically ordered states -- string-net condensed states. We analyze ph…
Structure of Quasiparticles and Their Fusion Algebra in Fractional Quantum Hall States
Maissam Barkeshli, Xiao-Gang Wen
It was recently discovered that fractional quantum Hall (FQH) states can be classified by the way ground state wave functions go to zero when electrons are brought close together.…
Tensor-entanglement renormalization group approach to 2D quantum systems
Zheng-Cheng Gu, Michael Levin, Xiao-Gang Wen
Traditional mean-field theory is a simple generic approach for understanding various phases. But that approach only applies to symmetry breaking states with short-range entanglemen…
Phase transitions on the edge of the ν=5/2 Pfaffian and anti-Pfaffian quantum Hall state
B. J. Overbosch, Xiao-Gang Wen
Starting from the edge reconstructed Pfaffian state and the anti-Pfaffian state for the filling fraction fractional quantum Hall (FQH) state with the filled Landau levels…
Topological surface states in three-dimensional magnetic insulators
Joel E. Moore, Ying Ran, Xiao-Gang Wen
An electron moving in a magnetically ordered background feels an effective magnetic field that can be both stronger and more rapidly varying than typical externally applied fields.…
Spin-triplet p-wave pairing in a 3-orbital model for iron pnictide superconductors
Patrick A. Lee, Xiao-Gang Wen
We examine the possibility that the superconductivity in the newly discovered FeAs materials may be caused by the Coulomb interaction between d-electrons of the iron atoms. We find…
Doped Kagome System as Exotic Superconductor
Wing-Ho Ko, Patrick A. Lee, Xiao-Gang Wen
A Chern--Simons theory for the doped spin-1/2 kagomé system is constructed, from which it is shown that the system is an exotic superconductor that breaks time-reversal symmetry. I…
Mutual Chern-Simons theory for Z_2 topological order
Su-Peng Kou, Michael Levin, Xiao-Gang Wen
We study several different topological ordered states in frustrated spin systems. The effective theories for those different Z_2 topological orders all have the same form --…
Effective theory of quadratic degeneracies
Y. D. Chong, Xiao-Gang Wen, Marin Soljacic
We present an effective theory for the Bloch functions of a two-dimensional square lattice near a quadratic degeneracy point. The degeneracy is protected by the symmetries of the c…
Properties of an algebraic spin liquid on the kagome lattice
Michael Hermele, Ying Ran, Patrick A. Lee +1
In recent work, we argued that a particular algebraic spin liquid (ASL) may be the ground state of the S = 1/2 kagome lattice Heisenberg antiferromagnet. This state, which lacks a…
Topological properties of Abelian and non-Abelian quantum Hall states from the pattern of zeros
Xiao-Gang Wen, Zhenghan Wang
It has been shown that different Abelian and non-Abelian fraction quantum Hall states can be characterized by patterns of zeros described by sequences of integers {S_a}. In this pa…
A classification of symmetric polynomials of infinite variables -- a construction of Abelian and non-Abelian quantum Hall states
Xiao-Gang Wen, Zhenghan Wang
Classification of complex wave functions of infinite variables is an important problem since it is related to the classification of possible quantum states of matter. In this paper…