Abstract
The mass-imbalanced Hubbard model represents a continuous evolution from the Hubbard to the Falicov-Kimball model. We employ dynamical mean field theory and study the paramagnetic metal-insulator transition, which has a very different nature for the two limiting models. Our results indicate that the metal-insulator transition rather resembles that of the Hubbard model as soon as a tiny hopping between the more localized fermions is switched on. At low temperatures we observe a first-order metal-insulator transition and a three peak structure. The width of the central peak is the same for the more and less mobile fermions when approaching the phase transition, which agrees with our expectation of a common Kondo temperature and phase transition for the two species.
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References
F. Gebhard, Metal-Insulator Transition (Springer-Verlag, Berlin, 1997)
M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)
J. Hubbard, Proc. R. Soc. Lond. Ser. A 276, 238 (1963)
P.G.J. van Dongen, C. Leinung, Ann. Phys. (Leipzig) 509, 45 (1997)
L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969)
A. Georges, G. Kotliar, Phys. Rev. B 45, 6479 (1992)
A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
J.K. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003)
P. Hansmann, A. Toschi, G. Sangiovanni, T. Saha-Dasgupta, S. Lupi, M. Marsi, K. Held, Phys. Status Solidi (b) 250, 1251 (2013)
M. Taglieber, A.-C. Voigt, T. Aoki, T.W. Hänsch, K. Dieckmann, Phys. Rev. Lett. 100, 010401 (2008)
G. Jotzu, M. Messer, F. Görg, D. Greif, R. Desbuquois, T. Esslinger, Phys. Rev. Lett. 115, 073002 (2015)
A. Sotnikov, D. Cocks, W. Hofstetter, Phys. Rev. Lett. 109, 065301 (2012)
Y.-H. Liu, L. Wang, Phys. Rev. B 92, 235129 (2015)
T. Dao, M. Ferrero, P.S. Cornaglia, M. Capone, Phys. Rev. A 85, 013606 (2012)
A. Liebsch, Europhys. Lett. 63, 97 (2003)
A. Koga, N. Kawakami, T.M. Rice, M. Sigrist, Phys. Rev. Lett. 92, 216402 (2004)
S. Biermann, L. de Medici, A. Georges, Phys. Rev. Lett. 95, 206401 (2005)
R. Arita, K. Held, Phys. Rev. B 72, 201102(R) (2005)
C. Knecht, N. Blümer, P.G.J. van Dongen, Phys. Rev. B 72, 081103(R) (2005)
M. Ferrero, F. Becca, M. Fabrizio, M. Capone, Phys. Rev. B 72, 205126 (2005)
N. Parragh, A. Toschi, K. Held, G. Sangiovanni, Phys. Rev. B 86, 155158 (2012)
M. Wallerberger, Ph.D. thesis, Technische Universität Wien, 2016
P. Werner, A.J. Millis, Phys. Rev. B 74, 155107 (2006)
E. Gull, A.J. Millis, A.I. Lichtenstein, A.N. Rubtsov, M. Troyer, P. Werner, Rev. Mod. Phys. 83, 349 (2016)
M. Jarrell, J.E. Gubernatis, Phys. Rep. 269, 133 (1996)
N. Blümer, Ph.D. thesis, Universität Augsburg, 2003
M. Karski, C. Raas, G.S. Uhrig, Phys. Rev. B 72, 113110 (2005)
M. Karski, C. Raas, G.S. Uhrig, Phys. Rev. B 77, 075116 (2008)
M. Granath, H.U.R. Strand, Phys. Rev. B 86, 115111 (2012)
Y. Lu, M. Höppner, O. Gunnarsson, M.W. Haverkort, Phys. Rev. B 90, 085102 (2014)
M. Ganahl, P. Thunström, F. Verstraete, K. Held, H.G. Evertz, Phys. Rev. B 90, 045144 (2014)
M. Ganahl, M. Aichhorn, P. Thunström, K. Held, H.G. Evertz, F. Verstraete, Phys. Rev. B 92, 155132 (2015)
P.W. Anderson, J. Phys. C: Solid State Phys. 3, 2436 (1970)
A.C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge Studies in Magnetism (Cambridge University Press, Cambridge, 1993), Vol. 2
K. Held, R. Peters, A. Toschi, Phys. Rev. Lett. 110, 246402 (2013)
A. Georges, G. Kotliar, Phys. Rev. B 45, 6479 (1992)
J. Schlipf, M. Jarrell, P.G.J. van Dongen, N. Blümer, S. Kehrein, Th. Pruschke, D. Vollhardt, Phys. Rev. Lett. 82, 4890 (1999)
M.J. Rozenberg, R. Chitra, G. Kotliar, Phys. Rev. Lett. 83, 3498 (1999)
A.E. Antipov, E. Gull, S. Kirchner, Phys. Rev. Lett. 112, 226401 (2014)
G. Rohringer, A. Toschi, A.A. Katanin, K. Held, Phys. Rev. Lett. 107, 256402 (2011)
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Philipp, MT., Wallerberger, M., Gunacker, P. et al. Mott-Hubbard transition in the mass-imbalanced Hubbard model. Eur. Phys. J. B 90, 114 (2017). https://doi.org/10.1140/epjb/e2017-80115-7
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DOI: https://doi.org/10.1140/epjb/e2017-80115-7