Anyons in an exactly solved model and beyond
暂无分享,去创建一个
[1] M. Freedman,et al. Non-Abelian topological phases in an extended Hubbard model , 2003, cond-mat/0309120.
[2] Ben Reichardt,et al. Fault-Tolerant Quantum Computation , 2016, Encyclopedia of Algorithms.
[3] M. Flohr,et al. Conformal Field Theory , 2006 .
[4] V. Goldman,et al. Direct observation of fractional statistics in two dimensions , 2005 .
[5] Lev B. Ioffe,et al. Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation , 2004 .
[6] M. Freedman,et al. A class of P,T-invariant topological phases of interacting electrons , 2003, cond-mat/0307511.
[7] C. Mochon. Anyon computers with smaller groups , 2003, quant-ph/0306063.
[8] M. Hastings. Lieb-Schultz-Mattis in higher dimensions , 2003, cond-mat/0305505.
[9] L. B. Ioffe,et al. Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays , 2003, cond-mat/0302104.
[10] L. Ioffe,et al. Topological order in the insulating Josephson junction array. , 2002, Physical review letters.
[11] M. Lukin,et al. Controlling spin exchange interactions of ultracold atoms in optical lattices. , 2002, Physical review letters.
[12] X. Wen. Quantum orders in an exact soluble model. , 2002, Physical review letters.
[13] A. Kitaev,et al. Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.
[14] Kevin Walker,et al. On Witten’s 3-manifold Invariants , 2003 .
[15] J. Loday. Realization of the Stasheff polytope , 2002, math/0212126.
[16] L. Ioffe,et al. Possible realization of an ideal quantum computer in Josephson junction array , 2002, cond-mat/0205186.
[17] P. Lochak. LECTURES ON TENSOR CATEGORIES AND MODULAR FUNCTORS (University Lecture Series 21) By BOJKO BAKALOV and ALEXANDER KIRILLOV, JR: 221 pp., US$29.00, ISBN 0-8218-2686-7 (American Mathematical Society, Providence, RI, 2001). , 2002 .
[18] P. Etingof,et al. On fusion categories , 2002, math/0203060.
[19] J. Vidal,et al. Pairing of Cooper pairs in a fully frustrated Josephson-junction chain. , 2002, Physical review letters.
[20] A. Cappelli,et al. Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States , 2001, cond-mat/0111437.
[21] X. Wen. Quantum orders and symmetric spin liquids , 2001, cond-mat/0107071.
[22] J. Kellendonk,et al. EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT , 2002 .
[23] R. Liang,et al. A limit on spin–charge separation in high-Tc superconductors from the absence of a vortex-memory effect , 2001, Nature.
[24] M. Freedman,et al. A Magnetic Model with a Possible Chern-Simons Phase , 2001, quant-ph/0110060.
[25] R. Moessner,et al. Resonating valence bond phase in the triangular lattice quantum dimer model. , 2000, Physical review letters.
[26] D. Tennant,et al. Experimental realization of a 2D fractional quantum spin liquid. , 2000, Physical review letters.
[27] M. Fisher,et al. Fractionalization in the cuprates: detecting the topological order. , 2000, Physical review letters.
[28] D. Ivanov. Non-Abelian statistics of half-quantum vortices in p-wave superconductors. , 2000, Physical review letters.
[29] A. Kirillov,et al. Lectures on tensor categories and modular functors , 2000 .
[30] A. Kitaev. Unpaired Majorana fermions in quantum wires , 2000, cond-mat/0010440.
[31] E. Rains. Correlation functions for symmetrized increasing subsequences , 2000, math/0006097.
[32] Michael Larsen,et al. A Modular Functor Which is Universal¶for Quantum Computation , 2000, quant-ph/0001108.
[33] N. Read,et al. Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect , 1999, cond-mat/9906453.
[34] I. Gelfand,et al. The Gelfand Mathematical Seminars, 1996–1999 , 2000 .
[35] A. Rosenberg. The Existence of Fiber Functors , 2000 .
[36] J. Kellendonk,et al. LETTER TO THE EDITOR: Simultaneous quantization of edge and bulk Hall conductivity , 1999, cond-mat/9912186.
[37] N. Read,et al. Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level , 1998, cond-mat/9809384.
[38] 永長 直人. Quantum Field Theory In Condensed Matter Physics , 2016 .
[39] John Preskill,et al. Topological Quantum Computation , 1998, QCQC.
[40] Andrew Pressley,et al. QUANTUM GROUPS (Graduate Texts in Mathematics 155) , 1997 .
[41] D. Mahalu,et al. Direct observation of a fractional charge , 1997, Nature.
[42] France.,et al. Observation of the e/3 Fractionally Charged Laughlin Quasiparticle , 1997, cond-mat/9706307.
[43] A. Davydov. Twisting of monoidal structures , 1997 .
[44] C. Kane,et al. Quantized thermal transport in the fractional quantum Hall effect , 1996, cond-mat/9603118.
[45] Andrew Lesniewski,et al. Noncommutative Geometry , 1997 .
[46] L. Crane,et al. Deformations of (bi)tensor categories , 1996, q-alg/9612011.
[47] S. D. Chatterji. Proceedings of the International Congress of Mathematicians , 1995 .
[48] B. Simon,et al. Charge deficiency, charge transport and comparison of dimensions , 1998, physics/9803014.
[49] V. Turaev. Quantum invariants of knots and three manifolds , 1994 .
[50] N. Reshetikhin,et al. Quantum Groups , 1993, hep-th/9311069.
[51] E. Lieb,et al. Flux phase of the half-filled band. , 1994, Physical review letters.
[52] V. Turaev. Quantum Invariants of Knots and 3-Manifolds , 1994, hep-th/9409028.
[53] B. Simon,et al. The Index of a Pair of Projections , 1994 .
[54] Y. Hatsugai,et al. Chern number and edge states in the integer quantum Hall effect. , 1993, Physical review letters.
[55] Jon P. May. Simplicial objects in algebraic topology , 1993 .
[56] F. Bais,et al. Anyons in discrete gauge theories with Chern-Simons terms , 1992, hep-th/9203047.
[57] Nicolai Reshetikhin,et al. Quantum Groups , 1993 .
[58] K. Fredenhagen,et al. Superselection sectors with braid group statistics and exchange algebras. 2. Geometric aspects and conformal covariance , 1992 .
[59] F. Bais,et al. Quantum symmetries in discrete gauge theories , 1992, hep-th/9203046.
[60] G. Volovik. Quantum hall and chiral edge states in thin 3He-A film , 1992 .
[61] G. Moore,et al. Fractional Quantum Hall Effect and Nonabelian Statistics , 1992, hep-th/9202001.
[62] R. Haag,et al. Local quantum physics , 1992 .
[63] Vladimir Turaev,et al. Invariants of 3-manifolds via link polynomials and quantum groups , 1991 .
[64] Gregory W. Moore,et al. Nonabelions in the fractional quantum Hall effect , 1991 .
[65] Seiler,et al. Quantum Hall effect and the relative index for projections. , 1990, Physical review letters.
[66] F. Gabbiani,et al. Braid statistics in local quantum theory , 1990 .
[67] Maximilian Kreuzer,et al. The gravitational anomalies , 1990 .
[68] John E. Roberts,et al. Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics , 1990 .
[69] Einarsson,et al. Fractional statistics on a torus. , 1990, Physical review letters.
[70] E. Witten,et al. Topological gauge theories and group cohomology , 1990 .
[71] V. Pasquier,et al. Quasihopf Algebras, Group Cohomology and Orbifold Models , 1990 .
[72] Read,et al. Statistics of the excitations of the resonating-valence-bond state. , 1989, Physical review. B, Condensed matter.
[73] Edward Witten,et al. Quantum field theory and the Jones polynomial , 1989 .
[74] V. Yakovenko,et al. Fractional charge, spin and statistics of solitons in superfluid 3He film , 1989 .
[75] G. Moore,et al. Classical and quantum conformal field theory , 1989 .
[76] Bert Schroer,et al. Superselection sectors with braid group statistics and exchange algebras , 1989 .
[77] John E. Roberts,et al. A new duality theory for compact groups , 1989 .
[78] D. Rokhsar,et al. Superconductivity and the quantum hard-core dimer gas. , 1988, Physical review letters.
[79] C. Vafa. Toward classification of conformal theories , 1988 .
[80] E. Verlinde,et al. Fusion Rules and Modular Transformations in 2D Conformal Field Theory , 1988 .
[81] R. Laughlin,et al. Equivalence of the resonating-valence-bond and fractional quantum Hall states. , 1987, Physical review letters.
[82] Vincent Pasquier,et al. Operator Content of the Ade Lattice Models , 1987 .
[83] P. Anderson. The Resonating Valence Bond State in La2CuO4 and Superconductivity , 1987, Science.
[84] Y. Imry,et al. Multichannel Landauer formula for thermoelectric transport with application to thermopower near the mobility edge. , 1986, Physical review. B, Condensed matter.
[85] Frank Wilczek,et al. Fractional Statistics and the Quantum Hall Effect , 1984 .
[86] B. Halperin. Statistics of quasiparticles and the hierarchy of fractional quantized Hall states , 1984 .
[87] D. Thouless,et al. Quantized Hall conductance in a two-dimensional periodic potential , 1992 .
[88] B. Simon,et al. Homotopy and Quantization in Condensed Matter Physics , 1983 .
[89] R. Laughlin. Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations , 1983 .
[90] F. Wilczek. Remarks on Dyons , 1982 .
[91] Frank Wilczek,et al. Magnetic flux, angular momentum, and statistics , 1982 .
[92] B. Halperin. Quantized Hall conductance, current carrying edge states, and the existence of extended states in a two-dimensional disordered potential , 1982 .
[93] Robert B. Laughlin,et al. Quantized Hall conductivity in two-dimensions , 1981 .
[94] K. Goeke,et al. Application of the adiabatic, time-dependent Hartree-Bogolyubov approximation to a solvable model , 1974 .
[95] Philip W. Anderson,et al. Resonating valence bonds: A new kind of insulator? , 1973 .
[96] D. W. Robinson,et al. The finite group velocity of quantum spin systems , 1972 .
[97] Jim Stasheff,et al. Homotopy associativity of $H$-spaces. II , 1963 .
[98] K. Rehren. Braid Group Statistics and their Superselection Rules , 2022 .
[99] R. Ho. Algebraic Topology , 2022 .