• The fractional quantum Hall effect (FQHE) is a physical phenomenon in which the Hall conductance of 2-dimensional (2D) electrons shows precisely quantized...
    15 KB (1,865 words) - 23:51, 11 June 2024
  • 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...
    36 KB (4,895 words) - 17:16, 22 May 2024
  • 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...
    43 KB (5,257 words) - 15:41, 14 April 2024
  • 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) - 15:40, 7 June 2024
  • 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 (546 words) - 11:19, 11 June 2024
  • Fractional Chern insulators (FCIs) are lattice generalizations of the fractional quantum Hall effect that have been studied theoretically since early 2010...
    14 KB (2,032 words) - 16:17, 14 June 2024
  • 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...
    25 KB (3,405 words) - 15:15, 26 December 2022
  • magnetic field, and carry fractional units of magnetic flux. This phenomenon is called the fractional quantum Hall effect. In typical laboratory systems...
    19 KB (2,583 words) - 18:00, 27 March 2024
  • 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 (4,938 words) - 14:54, 12 January 2024
  • behaves like a particle. In 1982 Robert Laughlin explained the fractional quantum Hall effect by postulating the existence of fractionally charged quasiparticles...
    22 KB (2,580 words) - 23:09, 22 May 2024
  • constituents. One of the earliest and most prominent examples is the fractional quantum Hall effect, where the constituent particles are electrons but the quasiparticles...
    7 KB (851 words) - 13:19, 28 May 2024
  • 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...
    15 KB (1,195 words) - 22:26, 26 April 2024
  • Thumbnail for Graphene
    with ν = 0, ±1, ±4 are observed. A plateau at ν = 3 and the fractional quantum Hall effect at ν = 1/3 were also reported. These observations with ν = 0...
    262 KB (27,661 words) - 21:34, 13 June 2024
  • Chern–Simons theory (category Quantum field theory)
    physics, Chern–Simons theory describes the topological order in fractional quantum Hall effect states. In mathematics, it has been used to calculate knot invariants...
    26 KB (3,589 words) - 16:21, 14 May 2024
  • 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 (5,073 words) - 10:45, 2 March 2024
  • 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 (1,212 words) - 18:15, 8 June 2024
  • 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 (331 words) - 11:19, 26 October 2023
  • 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 (4,392 words) - 12:00, 11 June 2024
  • 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) - 05:50, 10 February 2024
  • 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...
    42 KB (4,879 words) - 18:31, 28 February 2024
  • Klitzing discovers the quantum Hall effect 1982 – Horst L. Stoermer and Daniel C. Tsui discover the fractional quantum Hall effect 1983 – Robert B. Laughlin...
    3 KB (304 words) - 19:43, 11 February 2024
  • 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) - 18:08, 30 January 2024
  • 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...
    9 KB (1,446 words) - 11:52, 18 March 2024
  • realisation of the ν=5/2 fractional quantum Hall state: this is the only known quantum hall state labelled by an even denominator quantum number and it is believed...
    8 KB (774 words) - 01:11, 7 February 2024
  • Thumbnail for Shoucheng Zhang
    quantum Hall states with many features that have had since been experimentally observed. He generalized the theory of fractional quantum Hall effect to higher...
    21 KB (2,108 words) - 22:22, 19 October 2023
  • effect (ecology) (population genetics) Fractional quantum Hall effect (physics) Franssen effect (acoustics) (sound perception) Franz–Keldysh effect (condensed...
    34 KB (3,442 words) - 22:47, 3 March 2024
  • Thumbnail for Shot noise
    Shot noise (redirect from Quantum mottle)
    geometry and the details of the material. In 2DEG exhibiting fractional quantum Hall effect electric current is carried by quasiparticles moving at the...
    20 KB (2,942 words) - 22:45, 31 March 2024
  • 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 (11,439 words) - 19:33, 15 June 2024
  • Thumbnail for Philip Kim
    of the half-integer quantum Hall effect in CVD-grown graphene. The group reported observation of the fractional quantum Hall effect in suspended graphene...
    10 KB (875 words) - 12:53, 12 October 2023
  • Thumbnail for Singular function
    systems. Most famously, perhaps, they lie at the center of the fractional quantum Hall effect. When discussing mathematical analysis in general, or more specifically...
    4 KB (416 words) - 05:35, 29 June 2023