Fetching the paper…
Reading the bibliography…
We further develop an approach to identify the braiding statistics associated to a given fractional quantum Hall state through adiabatic transport of quasiparticles.
W. P. Su, J. R. Schrieffer, and A. J. Heeger, “Soliton excitations in polyacetylene,” Phys. Rev. B 22
1980
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer, and A. C. Gossard, “Two-Dimensional Magnetotransport in the Extreme Quantum Limit,” Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
R. B. Laughlin, “Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations,” Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
F. D. M. Haldane, “Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States,” Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
R. Tao and D. J. Thouless, “Fractional quantization of Hall conductance,” Phys. Rev. B 28
1983
Earlier work this paper cites.
B. Simon, “Holonomy, the Quantum Adiabatic Theorem, and Berry’s Phase,” Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
D. Arovas, J. R. Schrieffer, and F. Wilczek, “Fractional Statistics and the Quantum Hall Effect,” Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
M. V. Berry, “Quantal phase factors accompanying adiabatic changes,” Proc. R. Soc. Lond. A 392
1984
Earlier work this paper cites.
F. Wilczek and A. Zee, “Appearance of Gauge Structure in Simple Dynamical Systems,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
F. D. M. Haldane and E. H. Rezayi, “Finite-Size Studies of the Incompressible State of the Fractionally Quantized Hall Effect and its Excitations,” Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
F. D. M. Haldane, “Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level Filling,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
S. A. Trugman and S. Kivelson, “Exact results for the fractional quantum Hall effect with general interactions,” Phys. Rev. B 31
1985
Earlier work this paper cites.
R. Willett, J. P. Eisenstein, H. L. Stormer, D. C. Tsui, A. C. Gossard, and J. H. English, “Observation of an even-denominator quantum number in the fractional quantum Hall effect,” Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
G. Moore and N. Seiberg, “Polynomial equations for rational conformal field theories,” Phys. Lett. B 212
1988
Earlier work this paper cites.
J. K. Jain, “Composite-fermion approach for the fractional quantum Hall effect,” Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
X.-G. Wen and Q. Niu, “Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces,” Phys. Rev. B 41
1990
Earlier work this paper cites.
Torbjörn Einarsson, “Fractional statistics on a torus,” Phys. Rev. Lett. 64
1990
Earlier work this paper cites.
G. Moore and N. Read, “Nonabelions in the fractional quantum Hall effect,” Nucl. Phys. B 360
1991
Earlier work this paper cites.
B. Blok and X.-G. Wen, “Many-body systems with non-abelian statistics,” Nucl. Phys. B 374
1992
Earlier work this paper cites.
M. Greiter, X.-G. Wen, and F. Wilczek, “Paired Hall states,” Nucl. Phys. B 374
1992
Cited alongside, same era.
E. H. Rezayi and F. D. M. Haldane, “Laughlin state on stretched and squeezed cylinders and edge excitations in the quantum Hall effect,” Phys. Rev. B 50
1994
Cited alongside, same era.
C. Nayak and F. Wilczek, “ 2 n 2n -quasihole states realize 2 n − 1 2^{n-1} -dimensional spinor braiding statistics in paired quantum Hall states,” Nucl. Phys. B. 479
1996
Cited alongside, same era.
N. Read and E. H. Rezayi, “Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics,” Phys. Rev. B 54
1996
Cited alongside, same era.
V. Gurarie and C. Nayak, “A plasma analogy and Berry matrices for non-abelian quantum Hall states,” Nucl. Phys. B 506
1997
Cited alongside, same era.
A. Y. Kitaev, “Anyons in an exactly solved model and beyond,” Ann. Phys. 321
2006
Later among the works it cites.
M. Oshikawa, Y. B. Kim, K. Shtengel, C. Nayak, and S. Tewari, “Topological degeneracy of non-Abelian states for dummies,” Ann. Phys. 322
2007
Later among the works it cites.
A. Seidel and D.-H. Lee, “Domain-wall-type defects as anyons in phase space,” Phys. Rev. B 76
2007
Later among the works it cites.
E. J. Bergholtz, T. H. Hansson, M. Hermanns, and A. Karlhede, “Microscopic theory of the quantum Hall hierarchy,” Phys. Rev. Lett. 99
2007
Later among the works it cites.
P. Bonderson, Non-Abelian Anyons and Interferometry , Ph.D. thesis, Caltech (2007)
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
N. Read and E. H. Rezayi, “Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level,” Phys. Rev. B 59
1999
Cited alongside, same era.
N. Read and D. Green, “Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect,” Phys. Rev. B 61
2000
Cited alongside, same era.
D. A. Ivanov, “Non-Abelian Statistics of Half-Quantum Vortices in p-Wave Superconductors,” Phys. Rev. Lett. 86
2001
Cited alongside, same era.
J. K. Slingerland and F. A. Bais, “Quantum groups and non-Abelian braiding in quantum Hall systems,” Nucl. Phys. B. 612
2001
Cited alongside, same era.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. 303
2003
Cited alongside, same era.
A. Stern, F. von Oppen, and E. Mariani, “Geometric phases and quantum entanglement as building blocks for non-Abelian quasiparticle statistics,” Phys. Rev. B 70
2004
Cited alongside, same era.
J. Preskill, Lecture Notes for Physics 219: Quantum Computation (2004)
2004
Cited alongside, same era.
S. H. Simon, E. H. Rezayi, N. R. Cooper, and I. Berdnikov, “Construction of a paired wave function for spinless electrons at filling fraction ν \nu =2/5,” Phys. Rev. B 75
2007
Later among the works it cites.
2008
Later among the works it cites.
A. Seidel and K. Yang, “Halperin ( m , m ’ , n ) (m,m\text{'},n) Bilayer Quantum Hall States on Thin Cylinders,” Phys. Rev. Lett. 101
2008
Later among the works it cites.
A. Seidel, “Pfaffian statistics through adiabatic transport in the 1D coherent state representation,” Phys. Rev. Lett. 101
2008
Later among the works it cites.
E. J. Bergholtz and A. Karlhede, “Quantum Hall system in Tao-Thouless limit,” Phys. Rev. B 77
2008
Later among the works it cites.
E. Ardonne, E. J. Bergholtz, J. Kailasvuori, and E. Wikberg, “Degeneracy of non-Abelian quantum Hall states on the torus: domain walls and conformal field theory,” J. Stat. Mech. 2008
2008
Later among the works it cites.
S. Jansen, E. H. Lieb, and R. Seiler, “Symmetry Breaking in Laughlin’s State on a Cylinder,” Comm. Math. Phys. 285
2008
Later among the works it cites.
N. Read, “Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p x + i p y p_{x}+ip_{y} paired superfluids,” Phys. Rev. B 79
2009
Later among the works it cites.
E. Wikberg, E. J. Bergholtz, and A. Karlhede, “Spin chain description of rotating bosons at ν \nu = 1,” J. Stat. Mech.: Theor. Exp. 2009
2009
Later among the works it cites.
E. Ardonne, “Domain Walls, Fusion Rules, and Conformal Field Theory in the Quantum Hall Regime,” Phys. Rev. Lett. 102
2009
Later among the works it cites.
A. Seidel, “S-Duality Constraints on 1D Patterns Associated with Fractional Quantum Hall States,” Phys. Rev. Lett. 105
2010
Later among the works it cites.
Y.-M. Lu, X.-G. Wen, Z. Wang, and Z. Wang, “Non-Abelian quantum Hall states and their quasiparticles: From the pattern of zeros to vertex algebra,” Phys. Rev. B 81
2010
Later among the works it cites.
P. Bonderson, V. Gurarie, and C. Nayak, “Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states,” Phys. Rev. B 83
2011
Closest in time.
A. Seidel and K. Yang, “Gapless excitations in the Haldane-Rezayi state: The thin-torus limit,” Phys. Rev. B 84
2011
Closest in time.