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Nuclear physics. B, ISSN 0550-3213, 06/2012, Volume 859, Issue 2, pp. 261 - 268
Topological superconductors classified as type D admit zero-energy Majorana fermions inside vortex cores, and consequently the exchange statistics of vortices becomes non-Abelian, giving a promising... 
Non-Abelian statistics | Topological superconductors and insulators | Quantum vortices | Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology
Journal Article
J Phys Soc Jpn, ISSN 0031-9015, 4/2011, Volume 80, Issue 4, pp. 044603 - 044603-12
.... The associated low-energy excitations are calculated in connection with the possible existence of Majorana zero modes obeying non-Abelian statistics... 
Bogoliubov-de gennes equation | Non-abelian statistics | Vortex | Zero energy state | Ginzburg-landau theory | Chiral p-wave superfluids | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Physics - Superconductivity
Journal Article
Nuclear physics. B, ISSN 0550-3213, 1999, Volume 556, Issue 3, pp. 530 - 544
We introduce the notion of ‘order- k non-abelian exclusion statistics’. We derive the associated thermodynamic equations by employing the thermodynamic Bethe ansatz for specific non-diagonal scattering matrices... 
Conformal field theory | Quantum Hall effect | Non-abelian statistics | international | Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 11/2016, Volume 113, Issue 44, pp. 12386 - 12390
Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation... 
Fractional quantum Hall effect | Edge-current tunneling | Quantum point contact | 5/2 fractional quantum Hall state | Non-Abelian statistics | Physical Sciences | edge-current tunneling | non-Abelian statistics | 2 fractional quantum Hall state | quantum point contact | fractional quantum Hall effect
Journal Article
Nuclear physics. B, ISSN 0550-3213, 11/1996, Volume 479, Issue 3, pp. 529 - 553
...) non-Abelian statistics group SO(2n). In the four-quasihole case, this is supported by an explicit calculation of the corresponding conformal blocks in the c = 1/2... 
Paired states | Fractional quantum hall effect | Non-abelian statistics
Journal Article
Science and technology of advanced materials, ISSN 1468-6996, 12/2014, Volume 15, Issue 6, pp. 064402 - 9
Journal Article
Physics letters. B, ISSN 0370-2693, 11/2003, Volume 575, Issue 1-2, pp. 126 - 130
Journal Article
Journal of algebraic combinatorics, ISSN 0925-9899, 8/2016, Volume 44, Issue 1, pp. 59 - 79
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 1996, Volume 65, Issue 6, pp. 1617 - 1621
We study fractional exclusion statistics for SU(2) symmetric quantum systems ofarbitrary spin S by generalizing the thermodynamic equations with squeezed strings proposed by Ha... 
fractional exclusion statistics | non-abelian statistics | ZN parafermion | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology
Journal Article
Nuclear physics. B, ISSN 0550-3213, 2008, Volume 789, Issue 3, pp. 552 - 590
We review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical... 
Conformal field theory | Topological quantum computation | Non-Abelian statistics | Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology
Journal Article
Solid state communications, ISSN 0038-1098, 08/2017, Volume 262, Issue C, pp. 1 - 6
...: strong spin-orbit coupling, applied magnetic field, and confinement by one-dimensional structures which complicates demonstrating non-Abelian statistics through braiding... 
D. Magnetic textures | D. Non-Abelian statistics | A. Two-dimensional electron gas | A. Superconductors | D. Majorana bound states | A. Magnetic tunnel junctions | Physics, Condensed Matter | Physical Sciences | Physics | Science & Technology | Atoms | Control systems | Spin coupling | Magnetization | Magnetic fields | Epitaxy | Physics - Mesoscale and Nanoscale Physics
Journal Article
2012, 2013, Lecture Notes in Mathematics, ISBN 9783642306730, Volume 2054, 256
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic... 
Rational points (Geometry) | Algebraic Geometry | Mathematics | Number Theory | Mathematics and Statistics | Fundamental groups (Mathematics)
eBook
Stochastic processes and their applications, ISSN 0304-4149, 07/2017, Volume 127, Issue 7, pp. 2339 - 2345
A scenery f on a finite group G is a function from G to {0,1}. A random walk v(t) on G is said to be able to distinguish two sceneries if the distributions of... 
Random walks | Sceneries | Finite non-abelian groups | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology
Journal Article
Journal of algebraic combinatorics, ISSN 0925-9899, 2/2011, Volume 33, Issue 1, pp. 127 - 140
We prove that the near hexagon $Q(5,2)\times\mathbb{L}_{3}$ has a non-abelian representation in the extra-special 2-group $2^{1+12}_{+}$ and that the near... 
Near hexagon | Non-abelian representation | Convex and Discrete Geometry | Extra-special 2-group | Mathematics | Group Theory and Generalizations | Order, Lattices, Ordered Algebraic Structures | Computer Science, general | Combinatorics | Physical Sciences | Science & Technology | Sciences education
Journal Article
Nuclear physics. B, ISSN 0550-3213, 2003, Volume 651, Issue 3, pp. 331 - 360
...–Read one, to describe another universality class relevant for this plateau. The ground state is still given by the Pfaffian and is completely polarized, however, the elementary quasiholes are charge 1/2 anyons with Abelian statistics θ= π... 
Conformal field theory | Quantum Hall effect | Non-Abelian statistics | Quantum hall effect
Journal Article