Z 3 Quantum Double in a Superconducting Wire Array

Yang, Zhi-Cheng; Green, Dmitry; Yu, Hongji; Chamon, Claudio

doi:10.1103/PRXQuantum.2.030327

Title: $Z_{3}$ Quantum Double in a Superconducting Wire Array

Journal Article · Fri Aug 13 00:00:00 EDT 2021 · PRX Quantum

DOI:https://doi.org/10.1103/PRXQuantum.2.030327· OSTI ID:1813086

; Green, Dmitry; Yu, Hongji; Chamon, Claudio

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Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: SC0020312; SC0019449; SC0019040; FG02-06ER46316

OSTI ID:: 1813086

Journal Information:: PRX Quantum, Journal Name: PRX Quantum Vol. 2 Journal Issue: 3; ISSN 2691-3399

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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The $XY$ Model Has Long-Range Order for All Spins and All Dimensions Greater than One Kennedy, Tom; Lieb, Elliott H.; Shastry, B. Sriram Physical Review Letters, Vol. 61, Issue 22 https://doi.org/10.1103/PhysRevLett.61.2582	journal	November 1988
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Fault-tolerant quantum computation by anyons Kitaev, A. Yu. Annals of Physics, Vol. 303, Issue 1 https://doi.org/10.1016/S0003-4916(02)00018-0	journal	January 2003
Constructing Quantum Spin Liquids Using Combinatorial Gauge Symmetry Chamon, Claudio; Green, Dmitry; Yang, Zhi-Cheng Physical Review Letters, Vol. 125, Issue 6 https://doi.org/10.1103/PhysRevLett.125.067203	journal	August 2020
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters Wegner, Franz J. Journal of Mathematical Physics, Vol. 12, Issue 10 https://doi.org/10.1063/1.1665530	journal	October 1971
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Phase diagrams of spin ladders with ferromagnetic legs Vekua, T.; Japaridze, G. I.; Mikeska, H. -J. Physical Review B, Vol. 67, Issue 6 https://doi.org/10.1103/PhysRevB.67.064419	journal	February 2003
Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids Hart, Oliver; Wan, Yuan; Castelnovo, Claudio Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-21495-8	journal	March 2021
Ground-state parameters, finite-size scaling, and low-temperature properties of the two-dimensional $S = \frac{1}{2}$ $XY$ model Sandvik, Anders W.; Hamer, Chris J. Physical Review B, Vol. 60, Issue 9 https://doi.org/10.1103/PhysRevB.60.6588	journal	September 1999
Direct observation of a fractional charge de-Picciotto, R.; Reznikov, M.; Heiblum, M. Nature, Vol. 389, Issue 6647 https://doi.org/10.1038/38241	journal	September 1997
Fractional statistics in anyon collisions Bartolomei, H.; Kumar, M.; Bisognin, R. Science, Vol. 368, Issue 6487 https://doi.org/10.1126/science.aaz5601	journal	April 2020
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