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String-net condensation: A physical mechanism for topological phases

- Michael Levin, X. Wen
- Physics
- 26 April 2004

We show that quantum systems of extended objects naturally give rise to a large class of exotic phases---namely topological phases. These phases occur when extended objects, called ``string-nets,''… Expand

Detecting topological order in a ground state wave function.

- Michael Levin, X. Wen
- Physics, MedicinePhysical review letters
- 23 October 2005

TLDR

Doping a Mott insulator: Physics of high-temperature superconductivity

- Patrick A. Lee, N. Nagaosa, X. Wen
- Physics
- 18 October 2004

This article reviews the physics of high-temperature superconductors from the point of view of the doping of a Mott insulator. The basic electronic structure of cuprates is reviewed, emphasizing the… Expand

Symmetry protected topological orders and the group cohomology of their symmetry group

- Xie Chen, Z. Gu, Zhengxin Liu, X. Wen
- Physics
- 23 June 2011

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the… Expand

Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order

We study the renormalization group flow of the Lagrangian for statistical and quantum systems by representing their path integral in terms of a tensor network. Using a tensor-entanglement-filtering… Expand

Quantum orders and symmetric spin liquids

- X. Wen
- Physics
- 3 July 2001

A concept-quantum order-is introduced to describe a new kind of orders that generally appear in quantum states at zero temperature. Quantum orders that characterize the universality classes of… Expand

Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons

- X. Wen
- Physics
- 5 August 2004

1. Introduction 2. Path integral formulation of quantum mechanics 3. Interacting boson systems 4. Free fermion systems 5. Interacting fermion systems 6. Quantum gauge theories 7. Theory of quantum… Expand

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order

Two gapped quantum ground states in the same phase are connected by an adiabatic evolution which gives rise to a local unitary transformation that maps between the states. On the other hand, gapped… Expand

Classification of gapped symmetric phases in one-dimensional spin systems

Quantum many-body systems divide into a variety of phases with very different physical properties. The questions of what kinds of phases exist and how to identify them seem hard, especially for… Expand

Topological orders and edge excitations in fractional quantum hall states

- X. Wen
- Physics
- 15 June 1995

Fractional quantum Hall (FQH) liquids contain extremely rich internal structures which represent a completely new kind of ordering. We discuss the characterization and classification of the new… Expand

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