• The fractional quantum Hall effect (fractional QHE or FQHE) is the observation of precisely quantized plateaus in the Hall conductance of 2-dimensional...
    28 KB (3,702 words) - 07:08, 13 July 2025
  • filling factor of Landau levels. The quantum Hall effect is referred to as the integer or fractional quantum Hall effect depending on whether ν is an integer...
    37 KB (5,026 words) - 11:17, 24 June 2025
  • Anyon (redirect from Fractional statistics)
    the fractional quantum Hall effect. The statistical mechanics of large many-body systems obeys laws described by Maxwell–Boltzmann statistics. Quantum statistics...
    44 KB (5,318 words) - 10:01, 30 June 2025
  • Thumbnail for Robert B. Laughlin
    Laughlin wavefunction, for the fractional quantum Hall effect, which was able to correctly explain the fractionalized charge observed in experiments....
    7 KB (613 words) - 18:03, 29 March 2025
  • Thumbnail for Frank Wilczek
    discovered the fractional quantum Hall effect in 1982, Bertrand Halperin (1984) expanded the math Wilczek proposed in 1982 for fractional statistics in...
    43 KB (4,402 words) - 08:25, 17 July 2025
  • behaves like a particle. In 1982 Robert Laughlin explained the fractional quantum Hall effect by postulating the existence of fractionally charged quasiparticles...
    22 KB (2,582 words) - 13:26, 3 June 2025
  • Thumbnail for Electronic properties of graphene
    observation of a plateau at ν = 3 {\displaystyle \nu =3} and the fractional quantum Hall effect at ν = 1 / 3 {\displaystyle \nu =1/3} were reported. These observations...
    44 KB (5,082 words) - 23:37, 5 July 2025
  • Fractional Chern insulators (FCIs) are lattice generalizations of the fractional quantum Hall effect that have been studied theoretically since 1993 and...
    17 KB (2,183 words) - 05:19, 7 July 2025
  • Thumbnail for Duncan Haldane
    Washington, DC on March 22, 2019. Haldane–Shastry model Fractional quantum Hall effect Quantum spin Hall effect Photonic topological insulator Spin–charge separation...
    14 KB (1,186 words) - 01:31, 18 June 2025
  • Thumbnail for Horst Ludwig Störmer
    their discovery of a new form of quantum fluid with fractionally charged excitations" (the fractional quantum Hall effect). He and Tsui were working at Bell...
    7 KB (558 words) - 23:21, 25 January 2025
  • Thumbnail for Topological quantum computer
    elements of a topological quantum computer originate in a purely mathematical realm, experiments in fractional quantum Hall systems indicate that these...
    24 KB (2,979 words) - 22:17, 5 June 2025
  • constituents. One of the earliest and most prominent examples is the fractional quantum Hall effect, where the constituent particles are electrons but the quasiparticles...
    8 KB (931 words) - 09:21, 19 July 2025
  • Thumbnail for Topological order
    Topological order (category Quantum phases)
    fractional quantum Hall effect, S. M. Girvin and A. H. MacDonald, Phys. Rev. Lett., 58, 1252 (1987) Effective-Field-Theory Model for the Fractional Quantum...
    43 KB (4,989 words) - 22:19, 2 June 2025
  • Composite fermion (category Hall effect)
    Composite fermions were originally envisioned in the context of the fractional quantum Hall effect, but subsequently took on a life of their own, exhibiting many...
    27 KB (3,539 words) - 16:16, 2 July 2025
  • Chern–Simons theory (category Quantum field theory)
    theory describes composite fermions and the topological order in fractional quantum Hall effect states. In mathematics, it has been used to calculate knot invariants...
    27 KB (3,591 words) - 12:48, 25 May 2025
  • Thumbnail for Modulation doping
    and Dan Tsui used a modulation-doped wafer to discover the fractional quantum Hall effect. Modulation-doped semiconductor crystals are commonly grown...
    3 KB (321 words) - 10:40, 1 June 2025
  • Thumbnail for Quantum field theory
    to construct models of quantum gravity. Applications of TQFT include the fractional quantum Hall effect and topological quantum computers.: 1–5  The world...
    107 KB (14,910 words) - 22:41, 17 July 2025
  • of the u = 5/2 state in the fractional quantum Hall effect? Does it describe quasiparticles with non-Abelian fractional statistics? Liquid crystals:...
    104 KB (11,385 words) - 10:53, 15 July 2025
  • fractional quantum Hall effect as the integer quantum Hall effect of composite fermions. In doing so, he accomplished a unification of the fractional...
    9 KB (812 words) - 21:53, 14 May 2025
  • Thumbnail for Daniel C. Tsui
    Tsui and Störmer made the groundbreaking discovery of the fractional quantum Hall effect in 1982, while Laughlin provided a theoretical interpretation...
    13 KB (1,223 words) - 11:13, 5 July 2025
  • Laughlin wavefunction (category Hall effect)
    explain the observation of the ν = 1 / 3 {\displaystyle \nu =1/3} fractional quantum Hall effect (FQHE), and predicted the existence of additional ν = 1 / n...
    13 KB (2,181 words) - 07:44, 8 July 2025
  • Thumbnail for Mordehai Heiblum
    demonstrate the fractional charge of the fractional quantum Hall effect and measuring the of half-integer thermal conductance quantum at filling fraction...
    17 KB (1,768 words) - 04:20, 13 May 2025
  • temperatures. The fractional quantum Hall effect is a topological ordered state which corresponds to patterns of long-range quantum entanglement. States...
    10 KB (1,157 words) - 19:08, 16 April 2025
  • systems. He co-discovered the 5/2 filling factor state of the fractional quantum Hall effect and demonstrated the Bose–Einstein condensation of excitons...
    12 KB (1,191 words) - 22:31, 17 June 2025
  • theoretical work on quantum many body systems such as the fractional quantum Hall effect, and as co-developer of circuit quantum electrodynamics (circuit...
    12 KB (964 words) - 19:40, 9 June 2025
  • Thumbnail for Graphene
    plateaus of the Hall conductivity at σxy = νe2/h with ν = 0, ±1, ±4 are observed. A plateau at ν = 3 and the fractional quantum Hall effect at ν = ⁠1/3⁠...
    269 KB (28,209 words) - 17:10, 19 July 2025
  • Thumbnail for Timeline of quantum computing and communication
    PMID 39910308. Zhang, Naiyuan J.; et al. (2025). "Excitons in the fractional quantum Hall effect". Nature. 637 (8045): 327–332. arXiv:2407.18224. Bibcode:2025Natur...
    235 KB (22,807 words) - 07:51, 19 July 2025
  • work on topological phases of matter, topological quantum computing, and fractional quantum Hall effect. He is a co-author of a highly cited review on these...
    4 KB (346 words) - 08:31, 23 August 2024
  • developed in the context fractional quantum Hall effect. Onset of deconfinement Colour confinement Quark–gluon plasma Quark-nova Fractionalization v t e...
    1 KB (131 words) - 23:09, 23 August 2023
  • Thumbnail for Majorana fermion
    Majorana fermion (category Quantum field theory)
    electrical, source. An altogether different source uses the fractional quantum Hall effect as a substitute for the superconductor. In 2008, Fu and Kane...
    43 KB (5,000 words) - 17:29, 10 May 2025