Topological orders and edge excitations in fractional quantum Hall states
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Fractional quantum Hall (FQH) liquids contain extremely rich internal structures which represent a whole new kind of ordering. We discuss the characterization and classification of the new orders (which are called topological orders). We also discuss the edge excitations in FQH liquids, which form the so-called chiral Luttinger liquids. The chiral Luttinger liquids at the edges also have very rich structures as a reflection of the rich topological orders in the bulk. Thus edge excitations provide us a practical way to measure topological orders in experiments.
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The discovery of novel topological phases, characterized by topological invariants rather than a local order parameter, provides an alternative framework for classifying states of matter.
“the discovery of novel topological phases—characterized by topological invariants as opposed to some local order parameter—provides an alternative framework for classifying states of matter79,80.”
From Ultrafast terahertz emission from emerging symmetry-broken materials (2023) · cites this paper as [79]
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- Authors
- Wen, X.-G.
- Affiliations
- Massachusetts Institute of Technology (US)
- Corresponding author
- Wen, Xiao-Gang
- ORCID
- Wen, Xiao-Gang
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 1995-10
- Volume
- 44
- Issue
- 5
- Pages
- 405-473
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W3047351161
- Cited by
- 1,060
- References
- 69
- Citations by year
- 2026: 26 · 2025: 61 · 2024: 41 · 2023: 60 · 2022: 56 · 2021: 51 · 2020: 71 · 2019: 54 · 2018: 47 · 2017: 63 · 2016: 52 · 2015: 42 · 2014: 53 · 2013: 44 · 2012: 44
- FWCI
- 7.06
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Advances In Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- fractional quantum Hall effect, topological order, edge excitations, chiral Luttinger liquid, fractional quantum Hall states, edge states
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