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The Jordan-Wigner transformation is traditionally applied to one dimensional systems, but recent works have generalized the transformation to fermionic lattice systems in higher dimensions while keeping locality manifest.
P. Jordan and E. Wigner, Über das paulische äquivalenzverbot, Zeitschrift für Physik 47
1928
Earlier work this paper cites.
S. E. Barnes, New method for the anderson model, Journal of Physics F: Metal Physics 6
1976
Earlier work this paper cites.
S. E. Barnes, New method for the anderson model. II. the u=0 limit, Journal of Physics F: Metal Physics 7
1977
Earlier work this paper cites.
J. Wosiek, A LOCAL REPRESENTATION FOR FERMIONS ON A LATTICE, Acta Phys. Polon. B 13
1982
Earlier work this paper cites.
P. Coleman, New approach to the mixed-valence problem, Phys. Rev. B 29
1984
Earlier work this paper cites.
A. M. Szczerba, Spins and fermions on arbitrary lattices, Communications in Mathematical Physics 98
1985
Earlier work this paper cites.
I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Su(2) gauge symmetry of the large- u u limit of the hubbard model, Phys. Rev. B 38
1988
Earlier work this paper cites.
E. Dagotto, E. Fradkin, and A. Moreo, Su(2) gauge invariance and order parameters in strongly coupled electronic systems, Phys. Rev. B 38
1988
Earlier work this paper cites.
E. Fradkin, Jordan-wigner transformation for quantum-spin systems in two dimensions and fractional statistics, Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
C. N. Yang, η \eta pairing and off-diagonal long-range order in a hubbard model, Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
Y. R. Wang, Ground state of the two-dimensional antiferromagnetic heisenberg model studied using an extended wigner-jordon transformation, Phys. Rev. B 43
1991
Earlier work this paper cites.
L. Huerta and J. Zanelli, Bose-fermi transformation in three-dimensional space, Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. Burgess, C. Lütken, and F. Quevedo, Bosonization in higher dimensions, Physics Letters B 336
1994
Earlier work this paper cites.
P. Kopietz, Bosonization of Interacting Fermions in Arbitrary Dimensions , Lecture Notes in Physics Monographs, Vol. 48 (Springer-Verlag Berlin Heidelberg, 1997)
1997
Earlier work this paper cites.
V. Pasquier and F. Haldane, A dipole interpretation of the v = 1/2 state, Nuclear Physics B 516
1998
Earlier work this paper cites.
N. Read, Lowest-landau-level theory of the quantum hall effect: The fermi-liquid-like state of bosons at filling factor one, Phys. Rev. B 58
1998
Earlier work this paper cites.
Z. Weng, D. Sheng, and C. Ting, Understanding high-tc cuprates based on the phase string theory of doped antiferromagnet, Physica C: Superconductivity 341-348
2000
Earlier work this paper cites.
C. D. Batista and G. Ortiz, Generalized jordan-wigner transformations, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Fermionic quantum computation, Annals of Physics 298
2002
Earlier work this paper cites.
2002
Earlier work this paper cites.
S. V. Dobrov, On the spin-fermion connection, Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
X.-G. Wen, Quantum orders in an exact soluble model, Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
X.-G. Wen, Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford University Press, 2004)
2004
Earlier work this paper cites.
R. C. Ball, Fermions without fermion fields, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Mapping local hamiltonians of fermions to local hamiltonians of spins, Journal of Statistical Mechanics: Theory and Experiment 2005
2005
Earlier work this paper cites.
U. Schollwöck, The density-matrix renormalization group, Rev. Mod. Phys. 77
2005
Earlier work this paper cites.
P. A. Lee, N. Nagaosa, and X.-G. Wen, Doping a mott insulator: Physics of high-temperature superconductivity, Rev. Mod. Phys. 78
2006
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321
2006
Cited alongside, same era.
H.-D. Chen, C. Fang, J. Hu, and H. Yao, Quantum phase transition in the quantum compass model, Phys. Rev. B 75
2007
Cited alongside, same era.
X.-Y. Feng, G.-M. Zhang, and T. Xiang, Topological characterization of quantum phase transitions in a spin- 1 / 2 1/2 model, Phys. Rev. Lett. 98
2007
Cited alongside, same era.
H.-D. Chen and J. Hu, Exact mapping between classical and topological orders in two-dimensional spin systems, Phys. Rev. B 76
2007
Cited alongside, same era.
X. Chen, Symmetry fractionalization in two dimensional topological phases, Reviews in Physics 2
2017
Later among the works it cites.
E. Zohar and J. I. Cirac, Eliminating fermionic matter fields in lattice gauge theories, Phys. Rev. B 98
2018
Later among the works it cites.
K. Setia and J. D. Whitfield, Bravyi-kitaev superfast simulation of electronic structure on a quantum computer, The Journal of chemical physics 148
2018
Later among the works it cites.
A. Thomson and S. Sachdev, Fermionic spinon theory of square lattice spin liquids near the néel state, Phys. Rev. X 8
2018
Later among the works it cites.
Đorđe Radičević, Spin structures and exact dualities in low dimensions (2019), arXiv:1809.07757
2019
Later among the works it cites.
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2007
Cited alongside, same era.
L. Fu, C. L. Kane, and E. J. Mele, Topological insulators in three dimensions, Phys. Rev. Lett. 98
2007
Cited alongside, same era.
H.-D. Chen and Z. Nussinov, Exact results of the kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations, Journal of Physics A: Mathematical and Theoretical 41
2008
Cited alongside, same era.
R. K. Kaul, Y. B. Kim, S. Sachdev, and T. Senthil, Algebraic charge liquids, Nature Physics 4
2008
Cited alongside, same era.
P. Corboz and G. Vidal, Fermionic multiscale entanglement renormalization ansatz, Phys. Rev. B 80
2009
Cited alongside, same era.
Q. Si and F. Steglich, Heavy fermions and quantum phase transitions, Science 329
2010
Cited alongside, same era.
C. Xu and S. Sachdev, Majorana liquids: The complete fractionalization of the electron, Phys. Rev. Lett. 105
2010
Cited alongside, same era.
T. Senthil, D. T. Son, C. Wang, and C. Xu, Duality between (2+1)d quantum critical points, Physics Reports 827
2019
Later among the works it cites.
A. Karch, D. Tong, and C. Turner, A Web of 2d Dualities: 𝐙 2 {\bf Z}_{2} Gauge Fields and Arf Invariants, SciPost Phys. 7
2019
Later among the works it cites.
Y.-A. Chen and A. Kapustin, Bosonization in three spatial dimensions and a 2-form gauge theory, Phys. Rev. B 100
2019
Later among the works it cites.
K. Minami, Honeycomb lattice kitaev model with wen–toric-code interactions, and anyon excitations, Nuclear Physics B 939
2019
Later among the works it cites.
K. Setia, S. Bravyi, A. Mezzacapo, and J. D. Whitfield, Superfast encodings for fermionic quantum simulation, Physical Review Research 1
2019
Later among the works it cites.
M. Barkeshli, P. Bonderson, M. Cheng, and Z. Wang, Symmetry fractionalization, defects, and gauging of topological phases, Phys. Rev. B 100
2019
Later among the works it cites.
R. Thorngren, Anomalies and bosonization, Communications in Mathematical Physics 378
2020
Later among the works it cites.
Y.-A. Chen, Exact bosonization in arbitrary dimensions, Phys. Rev. Research 2
2020
Later among the works it cites.
A. Bochniak, B. d. z. Ruba, J. Wosiek, and A. Wyrzykowski, Constraints of kinematic bosonization in two and higher dimensions, Phys. Rev. D 102
2020
Later among the works it cites.
A. Bochniak and B. Ruba, Bosonization based on clifford algebras and its gauge theoretic interpretation, Journal of High Energy Physics 2020
2020
Later among the works it cites.
M. Ogura, Y. Imamura, N. Kameyama, K. Minami, and M. Sato, Geometric criterion for solvability of lattice spin systems, Phys. Rev. B 102
2020
Later among the works it cites.
Y.-H. Zhang and S. Sachdev, From the pseudogap metal to the fermi liquid using ancilla qubits, Phys. Rev. Research 2
2020
Later among the works it cites.
S. K. Shukla, T. D. Ellison, and L. Fidkowski, Tensor network approach to two-dimensional bosonization, Phys. Rev. B 101
2020
Later among the works it cites.
N. Tantivasadakarn, Jordan-wigner dualities for translation-invariant hamiltonians in any dimension: Emergent fermions in fracton topological order, Phys. Rev. Research 2
2020
Later among the works it cites.
2021
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F. Meier, D. Waltner, P. Braun, and T. Guhr, A mapping between the spin and fermion algebra, Journal of Physics A: Mathematical and Theoretical 54
2021
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C. Derby, J. Klassen, J. Bausch, and T. Cubitt, Compact fermion to qubit mappings, Phys. Rev. B 104
2021
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2021
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O. Pozo, P. Rao, C. Chen, and I. Sodemann, Anatomy of 𝕫 2 {\mathbb{z}}_{2} fluxes in anyon fermi liquids and bose condensates, Phys. Rev. B 103
2021
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P. Rao and I. Sodemann, Theory of weak symmetry breaking of translations in 𝕫 2 {\mathbb{z}}_{2} topologically ordered states and its relation to topological superconductivity from an exact lattice 𝕫 2 {\mathbb{z}}_{2} charge-flux attachment, Phys. Rev. Research 3
2021
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