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The metal-insulator transition has been a subject of intense research since Nevil Mott has first proposed that the metallic behavior of interacting electrons could turn to the insulating one as electron correlations increase.
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1957
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H. F. Trotter, “On the product of semi-groups of operators,” Proc. Amer. Math. Soc. 10
1959
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W. F. Brinkman and T. M. Rice, “Application of Gutzwiller’s Variational Method to the Metal-Insulator Transition,” Phys. Rev. B 2
1970
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1974
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1981
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1984
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V. Privman and M. E. Fisher, “Universal critical amplitudes in finite-size scaling,” Phy. Rev. B 30
1984
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J. E. Hirsch, “Two-dimensional Hubbard model: Numerical simulation study,” Phys. Rev. B 31
1985
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L. Hoddeson, G. Baym, and M. Eckert, “The development of the quantum-mechanical electron theory of metals: 1928–1933,” Rev. Mod. Phys. 59
1987
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I. Affleck and J. B. Marston, “Large- n n limit of the Heisenberg-Hubbard model: Implications for high- T c T_{\rm c} superconductors,” Phys. Rev. B 37
1988
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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
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J. L. Cardy, ed., Finite-size scaling (Elsevier, Amsterdam, 1988)
1988
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W. Metzner and D. Vollhardt, “Correlated Lattice Fermions in d = ∞ d=\infty Dimensions,” Phys. Rev. Lett. 62
1989
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S. R. White, D. J. Scalapino, R. L. Sugar, E. Y. Loh, J. E. Gubernatis, and R. T. Scalettar, “Numerical study of the two-dimensional Hubbard model,” Phys. Rev. B 40
1989
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J. A. Gracey, “Three-loop calculations in the O( N N ) Gross-Neveu model,” Nucl. Phys. B 341
1990
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F. Gebhard, “Gutzwiller correlated wave functions in finite dimensions d d : A systematic expansion in 1/ d d ,” Phys. Rev. B 41
1990
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S. Sorella and E. Tosatti, “Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice,” Europhys. Lett. 19
1992
Cited alongside, same era.
B. Rosenstein and A. Kovner, “Critical exponents of new universality classes,” Phys. Lett. B 314
1993
Cited alongside, same era.
M. Polini, R. Asgari, Y. Barlas, T. Pereg-Barnea, and A.H. MacDonald, “Graphene: a pseudochiral Fermi liquid,” Solid State Commun. 143
2007
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M. T. Tran and K. Kuroki, “Finite-temperature semimetal-insulator transition on the honeycomb lattice,” Phys. Rev. B 79
2009
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Z. Y. Meng, T. C. Lang, S. Wessel, F. F. Assaad, and A. Muramatsu, “Quantum spin liquid emerging in two-dimensional correlated Dirac fermions,” Nature 464
2010
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Wei Wu, Yao-Hua Chen, Hong-Shuai Tao, Ning-Hua Tong, and Wu-Ming Liu, “Interacting Dirac fermions on honeycomb lattice,” Phys. Rev. B 82
2010
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L. Balents, “Spin liquids in frustrated magnets,” Nature 464
2010
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A. N. Vasil’ev, S. É. Derkachev, N. A. Kivel’, and A. S. Stepanenko, “The 1 / n 1/n expansion in the Gross-Neveu model: Conformal bootstrap calculation of the index η \eta in order 1 / n 3 1/n^{3} ,” Theor. Math. Phys. 94
1993
Cited alongside, same era.
J. A. Gracey, “Computation of critical exponent η \eta at O( 1 / N 3 1/N^{3} ) in the four-fermi model in arbitrary dimensions,” Int. J. Mod. Phys. A 9
1994
Cited alongside, same era.
L. Kärkkäinen, R. Lacaze, P. Lacock, and B. Petersson, “Critical behaviour of the three-dimensional Gross-Neveu and Higgs-Yukawa models,” Nucl. Phys. B 415
1994
Cited alongside, same era.
G. Moeller, Q. Si, G. Kotliar, M. Rozenberg, and D. S. Fisher, “Critical Behavior of the Mott transition in the Hubbard model,” Phys. Rev. Lett. 74
1995
Cited alongside, same era.
G Kotliar, “The Large N N Expansion in the Strong Correlation Problem,” in Les Houches Session LVI 1991 , edited by J Doucaot, B and Zinn-Justin (Elsevier Sience B, 1995) p. 197
1995
Cited alongside, same era.
A. Georges, W. Krauth, and M. J. Rozenberg, “Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions,” Rev. Mod. Phys. 68
1996
Cited alongside, same era.
M. Imada, A. Fujimori, and Tokura Y., “Metal-insulator transitions,” Rev. Mod. Phys. 70
1998
Cited alongside, same era.
K. Harada, “Bayesian inference in the scaling analysis of critical phenomena,” Phys. Rev. E 84
2011
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S. Sorella, Y. Otsuka, and S. Yunoki, “Absence of a spin liquid phase in the Hubbard model on the honeycomb lattice,” Sci. Rep. 2
2012
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C.-C. Chang and R. T. Scalettar, “Quantum Disordered Phase near the Mott Transition in the Staggered-Flux Hubbard Model on a Square Lattice,” Phys. Rev. Lett. 109
2012
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F. F. Assaad and I. F. Herbut, “Pinning the Order: The Nature of Quantum Criticality in the Hubbard Model on Honeycomb Lattice,” Phys. Rev. X 3
2013
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S. R. Hassan and David Sénéchal, “Absence of spin liquid in nonfrustrated correlated systems,” Phys. Rev. Lett. 110
2013
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S. Chandrasekharan and A. Li, “Quantum critical behavior in three dimensional lattice Gross-Neveu models,” Phys. Rev. D 88
2013
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Q. Chen, G. H. Booth, S. Sharma, G. Knizia, and G. K.-L. Chan, “Intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model,” Phys. Rev. B 89
2014
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D. Ixert, F. F. Assaad, and K. P. Schmidt, “Mott physics in the half-filled Hubbard model on a family of vortex-full square lattices,” Phys. Rev. B 90
2014
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Y. Otsuka, S. Yunoki, and S. Sorella, “Mott transition in the 2D Hubbard model with π \pi -flux,” JPS Conf. Proc. 3
2014
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L. Janssen and I. F. Herbut, “Antiferromagnetic critical point on graphene’s honeycomb lattice: A functional renormalization group approach,” Phys. Rev. B 89
2014
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Wei Wu and A.-M. S. Tremblay, “Phase diagram and Fermi liquid properties of the extended Hubbard model on the honeycomb lattice,” Phys. Rev. B 89
2014
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M. Campostrini, A. Pelissetto, and E. Vicari, “Finite-size scaling at quantum transitions,” Phys. Rev. B 89
2014
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L. Wang, P. Corboz, and M. Troyer, “Fermionic quantum critical point of spinless fermions on a honeycomb lattice,” New J. Phys. 16
2014
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F. Parisen Toldin, M. Hohenadler, F. F. Assaad, and I. F. Herbut, “Fermionic quantum criticality in honeycomb and π \pi -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo,” Phys. Rev. B 91
2015
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Zi-Xiang Li, Yi-Fan Jiang, and Hong Yao, “Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions,” New J. Phys. 17
2015
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