The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Ground state of the two-dimensional charged particles in a strong magnetic field and the fractional quantum Hall effect
Abstract
Finite-size two-dimensional systems are investigated by numerical diagonalization of the Hamiltonian. Both fermion systems and boson systems are investigated. The energy of the liquidlike ground state of the fermion system shows a downward cusp at $\frac{1}{3}$ filling of the lowest Landau level. This behavior is consistent with the observed fractional quantum Hall effect. The short-range behavior of the pair distribution function of the ground state is analyzed and good agreement with Laughlin's trial wave function is obtained.
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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
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
Electronic structure of quantum dots
Reimann, S. M., & Manninen, M. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.1283 · Cited by 1,380
Wen, X. G., & Niu, Q. (1990) · Physical Review B · doi:10.1103/physrevb.41.9377 · Cited by 938
Magneto-roton theory of collective excitations in the fractional quantum Hall effect
Girvin, S. M., MacDonald, A. H., & Platzman, P. M. (1986) · Physical Review B · doi:10.1103/physrevb.33.2481 · Cited by 831
Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect
Girvin, S. M., & MacDonald, A. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1252 · Cited by 537
Haldane, F. D. M., & Rezayi, E. H. (1985) · Physical Review Letters · doi:10.1103/physrevlett.54.237 · Cited by 447
Metadata
- Authors
- Yoshioka, D.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1984-06-15
- Volume
- 29
- Issue
- 12
- Pages
- 6833-6839
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2006055220
- Cited by
- 165
- References
- 2
- FWCI
- 13.44
- Type
- journal article
- Language
- en
- Open access
- closed
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