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We show that universal transport coefficients of the fractional quantum Hall effect (FQHE) can be understood as a response to variations of spatial geometry.
Y. Aharonov, A. Casher, Ground state of a spin − 1 / 2 -1/2 charged particle in a two-dimensional magnetic field, Phys. Rev. A 19 (1979) 2461–2462
1979
Earlier work this paper cites.
P. Streda, Theory of quantized Hall conductivity in two dimensions, J. Phys. C 15 (1982) L717
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) 1395–1398
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) 605–608
1983
Earlier work this paper cites.
O. Alvarez, Theory of strings with boundaries: fluctuations, topology and quantum geometry, Nuc. Phys. B 216 (1) (1983) 125–184
1983
Earlier work this paper cites.
F. Haldane, E. Rezayi, Periodic Laughlin-Jastrow wave functions for the fractional quantized Hall effect, Phys. Rev. B 31 (1985) 2529
1985
Earlier work this paper cites.
S. M. Girvin, A. H. MacDonald, P. M. Platzman, Collective-excitation gap in the fractional quantum Hall effect, Phys. Rev. Lett. 54 (1985) 581–583
1985
Earlier work this paper cites.
T. McMullen, Linear response and the quantized Hall effect, Phys. Rev. B 32 (1985) 1415–1418
1985
Earlier work this paper cites.
S. M. Girvin, A. H. MacDonald, P. M. Platzman, Magneto-roton theory of collective excitations in the fractional quantum Hall effect, Phys. Rev. B 33 (1986) 2481–2494
1986
Earlier work this paper cites.
T. Mabuchi, K K -energy maps integrating Futaki invariants, Tohoku Math. J. 38 (4) (1986) 575–593
1986
Earlier work this paper cites.
A. M. Polyakov, Gauge Fields and Strings (Contemporary Concepts in Physics), Harwood Academic Publishers, Switzerland, 1987
1987
Earlier work this paper cites.
J. L. Cardy, I. Peschel, Finite-size dependence of the free energy in two-dimensional critical systems, Nuc. Phys. B 300 (1988) 377–392
1988
Earlier work this paper cites.
G. Moore, N. Read, Nonabelions in the fractional quantum Hall effect, Nuc. Phys. B 360 (2-3) (1991) 362 – 396
1991
Earlier work this paper cites.
X. G. Wen, A. Zee, Shift and spin vector: New topological quantum numbers for the Hall fluids, Phys. Rev. Lett. 69 (1992) 953–956
1992
Earlier work this paper cites.
J. Fröhlich, U. M. Studer, U(1) × \times SU(2)-gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Comm. Math. Phys. 148 (1992) 553–600
1992
Earlier work this paper cites.
P. Maraner, Landau ground state on Riemann surfaces, Modern Physical Letters A 07 (1992) 2555
1992
Earlier work this paper cites.
D. Li, The spin of the quasi-particle in the fractional quantum hall effect, Physics Letters A 169 (1992) 82
1992
Earlier work this paper cites.
R. Iengo, D. Li, Quantum mechanics and quantum Hall effect on Riemann surfaces, Nuc. Phys. B 413 (3) (1994) 735 – 753
1994
Earlier work this paper cites.
B. Jancovici, G. Manificat, C. Pisani, Coulomb systems seen as critical systems: finite-size effects in two dimensions, J. Stat. Phys. 76 (1-2) (1994) 307–329
1994
Cited alongside, same era.
J. E. Avron, R. Seiler, P. G. Zograf, Viscosity of quantum Hall fluids, Phys. Rev. Lett. 75 (1995) 697–700
1995
Cited alongside, same era.
P. Lévay, Berry phases for Landau Hamiltonians on deformed tori, J. Math. Phys. 36 (6) (1995) 2792–2802
1995
Cited alongside, same era.
P. Lévay, Berry’s phase, chaos, and the deformations of Riemann surfaces, Phys. Rev. E 56 (1997) 6173–6176
1997
Cited alongside, same era.
S. Zelditch, Szegö kernels and a theorem of Tian, Int. Math. Res. Notices 1998 (6) (1998) 317
1998
Cited alongside, same era.
D. H. Phong, J. Sturm, Lectures on stability and constant scalar curvature, Current Developments in Mathematics 2007 (2009) 101
2009
Later among the works it cites.
M. R. Douglas, S. Klevtsov, Bergman kernel from path integral, Comm. Math. Phys. 293 (1) (2010) 205–230
2010
Later among the works it cites.
P. J. Forrester, Log-gases and random matrices (LMS-34), Princeton University Press, 2010
2010
Later among the works it cites.
N. Read, E. H. Rezayi, Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems, Phys. Rev. B 84 (8) (2011) 085316
2011
Later among the works it cites.
R. J. Berman, Kähler-Einstein metrics emerging from free fermions and statistical mechanics, JHEP 2011 (10) (2011) 1–31
2011
Later among the works it cites.
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N. Read, E. Rezayi, Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level, Phys. Rev. B 59 (1999) 8084–8092
1999
Cited alongside, same era.
D. Catlin, The Bergman kernel and a theorem of Tian, in: Analysis and geometry in several complex variables, Springer, 1999, pp. 1–23
1999
Cited alongside, same era.
G. Téllez, P. J. Forrester, Exact finite-size study of the 2D OCP at Γ = 4 \Gamma=4 and Γ = 6 \Gamma=6 , J. Stat. Phys. 97 (3-4) (1999) 489–521
1999
Cited alongside, same era.
G. Tian, Canonical metrics in Kähler geometry, Lectures in mathematics, Birkhauser, 2000
2000
Cited alongside, same era.
P. Kalinay, P. Markoš, L. Šamaj, I. Travěnec, The sixth-moment sum rule for the pair correlations of the two-dimensional one-component plasma: Exact result, J. Stat. Phys. 98 (3-4) (2000) 639–666
2000
Cited alongside, same era.
Z. Lu, On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch, American Journal of Mathematics 122 (2) (2000) 235–273
2000
Cited alongside, same era.
B. Jancovici, E. Trizac, Universal free energy correction for the two-dimensional one-component plasma, Phys. A 284 (1) (2000) 241–245
2000
Cited alongside, same era.
F. Ferrari, S. Klevtsov, S. Zelditch, Gravitational actions in two dimensions and the Mabuchi functional, Nuc. Phys. B 859 (3) (2012) 341–369
2012
Later among the works it cites.
B. Bradlyn, M. Goldstein, N. Read, Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity, Phys. Rev. B 86 (24) (2012) 245309
2012
Later among the works it cites.
C. Hoyos, D. T. Son, Hall viscosity and electromagnetic response, Phys. Rev. Lett. 108 (6) (2012) 066805
2012
Later among the works it cites.
H. Xu, A closed formula for the asymptotic expansion of the Bergman kernel, Comm. Math. Phys. 314 (3) (2012) 555–585
2012
Later among the works it cites.
A. G. Abanov, On the effective hydrodynamics of the fractional quantum Hall effect, Journal of Physics A Mathematical General 46 (2013) C2001
2013
Later among the works it cites.
P. Wiegmann, Hydrodynamics of Euler incompressible fluid and the fractional quantum Hall effect, Phys. Rev. B 88 (2013) 241305
2013
Later among the works it cites.
P. Wiegmann, Anomalous hydrodynamics of fractional quantum Hall states, JETP 144 (3) (2013) 617
2013
Later among the works it cites.
R. J. Berman, A thermodynamical formalism for Monge-Ampere equations, Moser–Trudinger inequalities and Kähler-Einstein metrics, Adv. Math. 248 (2013) 1254–1297
2013
Later among the works it cites.
S. Klevtsov, Random normal matrices, Bergman kernel and projective embeddings, JHEP 2014 (1) (2014) 1–19
2014
Closest in time.
T. Can, M. Laskin, P. Wiegmann, Fractional quantum Hall effect in a curved space: Gravitational anomaly and electromagnetic response, Phys. Rev. Lett. 113 (2014) 046803
2014
Closest in time.
G. Y. Cho, Y. You, E. Fradkin, Geometry of fractional quantum Hall fluids, Phys. Rev. B 90 (11) (2014) 115139
2014
Closest in time.
P. Wiegmann, A. G. Abanov, Anomalous hydrodynamics of two-dimensional vortex fluids, Phys. Rev. Lett. 113 (2014) 034501
2014
Closest in time.
T. Can, P. J. Forrester, G. Téllez, P. Wiegmann, Singular behavior at the edge of Laughlin states, Phys. Rev. B 89 (2014) 235137
2014
Closest in time.