Abstract
We study the interplay between superconducting pairing, exciton and charge-density wave in a correlated electron model, the Falicov-Kimball model, extended by a hybridization term between spinless fermions and also by an attractive pairing in the particle channel. A self-consistent Hartree-Fock BdG mean-field calculation shows that the hybridization V and Coulomb repulsion U favour in binding an exciton but both are detrimental to the formation of superconducting pairing, whereas, CDW is favoured by Coulomb interaction and disfavoured by V . There is a coexistence regime for superconductivity, CDW and excitonic order in the parameter space.
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References
D. Jerome, T.M. Rice, W. Kohn, Phys. Rev. 158, 462 (1967)
B.I. Halperin, T.M. Rice, Rev. Mod. Phys. 40, 755 (1968)
N.F. Mott, Philos. Mag. 6, 287 (1961)
Y.U. Peter, M. Cardona,Fundamentals of Semiconductors: Physics and Materials Properties (Springer, Heidelberg, 2010)
L. Ginzburg, Usp. Fiz. Nauk., Sov. Phys. Usp. 19 (1976)
D. Allender, J. Bray, J. Bardeen, Phys. Rev. 8, 7 (1973)
O. Cotlet, S. Zeytinoglu, M. Sigrist, E. Demler, A. Imamoglu, Phys. Rev. B 93, 054510 (2016)
F.P. Laussy, A.V. Kavokin, I.A. Shelykh, Phys. Rev. Lett. 104, 106402 (2010)
P. Skopelitis, E.D. Cherotchenko, A.V. Kavokin, A. Posazhennikova, Phys. Rev. Lett. 120, 107001 (2018)
A. Kavokin, P. Lagoudakis, Nat. Mater. 15, 599 (2016)
T. Fausti, R.I. Tobey, N. Dean, S. Kaiser, A. Dienst, M.C. Hoffmann, S. Pyon, T. Takayama, H. Takagi, A. Cavalleri, Science 331, 189 (2011)
R. Fujiuchi, K. Sugimoto, Y. Ohta, J. Phys. Soc. Jpn. 87, 063705 (2018)
E.S. Caixeiro, A. Troper, Physica C 460–462, 712 (2007)
H. Caldas, F.S. Batista, M.A. Continentino, F. Deus, D. Nozadze, Ann. Phys. 384, 211 (2017)
D. Reyes, M.A. Continentino, C. Thomas, C. Lacroix, Ann. Phys. 373, 257 (2016)
M.A. Continentino, I.T. Padilha, J. Phys.: Condens. Matter 209, 095216 (2008)
L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1959)
J.K. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003)
J.K. Freericks, L.M. Falicov, Phys. Rev. B 41, 2163 (1990)
R. Remirez, L.M. Falicov, Phys Rev. B 3, 2425 (1971)
S. Pradhan, J. Phys.: Condens. Matter 28, 505502 (2016)
P. Wachter, B. Bucher, J. Malar, Phys. Rev. B 69, 094502 (2004)
C.D. Batista, Phys. Rev. Lett. 89, 166403 (2002)
L.G. Sarasua, M.A. Continentino, Phys. Rev. B 69, 073103 (2004)
P. Farkasovský, Phys. Rev. B 70, 035117 (2004)
K. Seki, R. Eder, Y. Ohta, Phys. Rev. B 84, 245106 (2011)
S. Pradhan, A. Taraphder, Europhys. Lett. 116, 57001 (2016)
S. Pradhan, A. Taraphder, J. Phys.: Condens. Matter 31, 015601 (2019)
J. Linder, J.W.A. Robinson, Nat. Phys. 11, 307 (2015)
T. Kennedy, E.H. Lieb, Physica A 138, 320 (1986)
C. Kyuil et al., Nat. Commun. 9, 279 (2018)
S.J. Denholme et al., Sci. Rep. 7, 45217 (2017)
C.D. Batista, J.E. Gubernatis, J. Bonca, H.Q. Lin, Phys. Rev. Lett. 92, 187601 (2004)
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Pradhan, S. Competing orders in an extended Falicov-Kimball model. Eur. Phys. J. B 92, 225 (2019). https://doi.org/10.1140/epjb/e2019-100296-5
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DOI: https://doi.org/10.1140/epjb/e2019-100296-5