The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Fractional Quantum Hall Effect in an Array of Quantum Wires
Open accessAbstract
We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate interwire electron hopping processes that drive the system into a variety of QH states. Some of the QH states are not included in the Haldane-Halperin hierarchy. In addition, we find operators allowed at any field that lead to novel crystals of Laughlin quasiparticles. We demonstrate that any QH state is the ground state of a Hamiltonian that we explicitly construct.
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Citations
Cites
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Composite-fermion approach for the fractional quantum Hall effect
Jain, J. K. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.199 · Cited by 2,346
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
Cited by
Interacting topological insulators: a review
Rachel, S. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aad6a6 · Cited by 382
From Luttinger liquid to non-Abelian quantum Hall states
Teo, J. C. Y., & Kane, C. L. (2014) · Physical Review B · doi:10.1103/physrevb.89.085101 · Cited by 261
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Metadata
- Authors
- Kane, C. L., Mukhopadhyay, R., & Lubensky, T. C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-01-04
- Volume
- 88
- Issue
- 3
- Pages
- 036401-036401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2013398427
- Cited by
- 282
- References
- 3
- FWCI
- 1.12
- Type
- journal article
- Language
- en
- Open access
- green
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