Abstract
For a general class of conducting polymers with arbitrary large unit cell and different on-site Coulomb repulsion values on different type of sites, I demonstrate in exact terms the emergence possibility of an upper, interaction-created “effective” flat band. This last appears as a consequence of a kinetic energy quench accompanied by a strong interaction energy decrease, and leads to a non-saturated ferromagnetic state. This ordered state clearly differs from the known flat-band ferromagnetism. This is because it emerges in a system without bare flat bands, requires inhomogeneous on-site Coulomb repulsions values, and possesses non-zero lower interaction limits at the emergence of the ordered phase.
Similar content being viewed by others
References
W. Kohn, Rev. Mod. Phys. 71, 1253 (1998)
V.I. Anisimov, F. Aryasetianwan, A.I. Lichtenstein, J. Phys: Condens. Matter 9, 767 (1997)
F. Aryasetianwan, O. Gunnarsson, Rep. Prog. Phys. 61, 237 (1998)
W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989)
A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
M. Städele, R.M. Martin, Phys. Rev. Lett. 84, 6070 (2000)
E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)
Y. Zhang, Y.W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)
M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)
R. Takahashi, S. Murakami, Phys. Rev. B 88, 235303 (2013)
G. Möller, N.R. Cooper, Phys. Rev. Lett. 108, 045306 (2012)
O. Derzhko, J. Richter, A. Honecker, R. Moessner, Phys. Rev. B 81, 014421 (2010)
Z. Gulácsi, Phys. Rev. B 77, 245113 (2008)
A. Mielke, H. Tasaki, Commun. Math. Phys. 158, 341 (1993)
Z. Gulácsi, A. Kampf, D. Vollhardt, Phys. Rev. Lett. 105, 266403 (2010)
Z. Gulácsi, Int. J. Mod. Phys. B 27, 1330009 (2013)
A.S. Dhoot et al., Phys. Rev. Lett. 96, 246403 (2006)
A.C.R. Grayson et al., Nat. Mater. 2, 767 (2003)
R. McNeill et al., Aust. J. Chem. 16, 1056 (1963)
J.W. van der Horst, P.A. Bobbert, M.A.J. Michels, Phys. Rev. Lett. 83, 4413 (1999)
O.R. Nascimento et al., Phys. Rev. B 67, 14422 (2003)
F.R. de Paula et al., J. Magn. Magn. Mater. 320, 193 (2008)
A.A. Correa et al., Synth. Met. 121, 1836 (2001)
A.J. Heeger et al., Rev. Mod. Phys. 60, 781 (1988)
T.O. Wehling et al., Phys. Rev. Lett. 106, 236805 (2011)
G. Brocks, J. Van den Brink, A.F. Morpurgo, Phys. Rev. Lett. 93, 146405 (2004)
Y. Suwa et al., Phys. Rev. B 68, 174419 (2003)
R. Arita et al., Phys. Rev. Lett. 88, 127202 (2002)
R. Arita et al., Phys. Rev. B 68, 140403(R) (2003)
Z. Gulácsi, M. Gulacsi, Phys. Rev. Lett. 73, 3239 (1994)
R. Trencsényi, E. Kovács, Z. Gulácsi, Phil. Mag. 89, 1953 (2009)
R. Trencsényi, Z. Gulácsi, Phil. Mag. 92, 4657 (2012)
R. Trencsényi, K. Gulácsi, E. Kovács, Z. Gulácsi, Ann. Phys. (Berlin) 523, 741 (2011)
R. Trencsényi, Z. Gulácsi, Eur. Phys. J. B 75, 511 (2010)
M. Gulacsi, H. Van Beijeren, A.C. Levi, Phys. Rev. E 47, 2473 (1993)
M. Gulacsi, Phil. Mag. B 76, 731 (1997)
M. Gulacsi, R. Chan, J. Supercond. 14, 651 (2001)
R. Chan, M. Gulacsi, Phil. Mag. Lett. 81, 673 (2001)
R. Chan, M. Gulacsi, Phil. Mag. 84, 1265 (2004)
D.J. Scalapino, Rev. Mod. Phys. 84, 1383 (2012)
Z. Gulácsi, D. Vollhardt, Phys. Rev. B 72, 075130 (2005)
Z. Gulácsi, A. Kampf, D. Vollhardt, Phys. Rev. Lett. 99, 026404 (2007)
Z. Gulácsi, A. Kampf, D. Vollhardt, Prog. Theor. Phys. Suppl. 176, 1 (2008)
I. Orlik, Z. Gulácsi, Phil. Mag. Lett. 78, 177 (1998)
Z. Gulácsi, I. Orlik, J. Phys. A 34, L359 (2001)
P. Gurin, Z. Gulácsi, Phys. Rev. B 64, 045118 (2001)
Z. Gulácsi, Eur. Phys. J. B 30, 295 (2002)
Z. Gulácsi, Phys. Rev. B 66, 165109 (2002)
Z. Gulácsi, D. Vollhardt, Phys. Rev. Lett. 91, 186401 (2003)
Z. Gulácsi, Phys. Rev. B 69, 054204 (2004)
Z. Gulácsi, M. Gulacsi, Phys. Rev. B 73, 014524 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gulácsi, Z. Interaction-created effective flat bands in conducting polymers. Eur. Phys. J. B 87, 143 (2014). https://doi.org/10.1140/epjb/e2014-50294-x
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2014-50294-x