Abstract
We study the pseudogap phase of cuprate superconducting systems in a Hartree–Fock approach to the Hubbard Hamiltonian with an extra competing next-nearest-neighbor hopping term of energy \(t_2\) along the nodal directions of the sublattice Brillouin zone. A maximum pseudogap energy of 101.08 meV is obtained at the nodal points of the Fermi surface in the half-filling antiferromagnetic Mott insulating state, in good agreement with the experimental result for the La\(_2\)CuO\(_4\) compound on which our model parametrization is based. By doping the half-filled system either with holes or electrons, we observe the formation of pocket regions near the Fermi surface with low density of states at the nodes and antinodes, respectively. Remarkably, the pseudogap closes down at the critical hole and electron doping concentrations \(x_h^* = 0.20\) and \(x_e^* = 0.17\), also in fine agreement with the experimental values of the cuprate systems La\(_{2-x}\)Sr\(_{x}\)CuO\(_{4}\) and Nd\(_{2-x}\)Ce\(_{x}\)CuO\(_{4}\), which have the same CuO\(_{2}\)-plane structure at half-filling consistent with the fixing of our model parameters. By nullifying the next-nearest-neighbor hopping energy, \(t_2 = 0\), no pseudogap emerges. These findings suggest that limiting the electron dispersion along the nodal directions that connect contiguous Cu-sites in the same sublattice, combined with a significant on-site Coulomb repulsion, may play a relevant role to the opening of the pseudogap associated with filled or partially filled Mott states in cuprate compounds.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data can be requested directly to the authors.]
References
J.G. Bednorz, K.A. Müller, Z. Phys. B Condens. Matter 64, 180 (1986)
P.W. Phillips, L. Yeo, E.W. Huang, Nat. Phys. 16, 1175 (2020)
H. Alloul, T. Ohno, P. Mendels, Phys. Rev. Lett. 63, 1700 (1989)
J.W. Loram, K.A. Mirza, J.R. Cooper, W.Y. Liang, Phys. Rev. Lett. 71, 1740 (1993)
D.S. Marshall, D.S. Dessau, A.G. Loeser, C.H. Park, A.Y. Matsuura, J.N. Eckstein, I. Bozovic, P. Fournier, A. Kapitulnik, W.E. Spicer, Z.-X. Shen, Phys. Rev. Lett. 76, 4841 (1996)
A.G. Loeser, Z.-X. Shen, D.S. Dessau, D.S. Marshall, C.H. Park, P. Fournier, A. Kapitulnik, Science 273, 325 (1996)
N.F. Mott, Rev. Mod. Phys. 40, 677 (1968)
S. Badoux, W. Tabis, F. Laliberté, G. Grissonnanche, B. Vignolle, D. Vignolles, J. Béard, D.A. Bonn, W.N. Hardy, R. Liang, N. Doiron-Leyraud, L. Taillefer, C. Proust, Nature 531, 210 (2016)
N. Doiron-Leyraud, O. Cyr-Choiniere, S. Badoux, A. Ataei, C. Collignon, A. Gourgout, S. Dufour-Beauséejour, F.F. Tafti, F. Laliberté, M.-E. Boulanger, M. Matusiak, D.A. Graf, M. Kim, J. Zhou, N. Momono, T. Kurosawa, H. Takagi, L. Taillefer, Nat. Commun. 8, 2044 (2017)
F. Boschini, M. Zonno, E. Razzoli, R.P. Day, M. Michiardi, B. Zwartsenberg, P. Nigge, M. Schneider, E.H. da Silva Neto, A. Erb, S. Zhdanovich, A.K. Mills, G. Levy, C. Giannetti, D.J. Jones, A. Damascelli, npj Quantum Mater. 5, 1 (2020)
T.D. Stanescu, P. Phillips, Phys. Rev. Lett. 91, 017002 (2003)
N. Karchev, Phys. Rev. B 57, 10913 (1998)
M. Frachet, I. Vinograd, R. Zhou, S. Benhabib, S. Wu, H. Mayaffre, S. Kraemer, S.K. Ramakrishna, A. Reyes, J. Debray, T. Kurosawa, N. Momono, M. Oda, S. Komiya, S. Ono, M. Horio, J.-H. Chang, C. Proust, D. Leboeuf, M.H. Julien, Nat. Phys. 16, 1064 (2020)
A. Cabo-Bizet, A.C.M. de Oca, Phys. Lett. A 373, 1865 (2009)
A. Cabo-Bizet, A.C.M. de Oca, Symmetry 2, 388 (2010)
V.M.M. Alvarez, A. Cabo-Bizet, A.C.M. de Oca, Int. J. Mod. Phys. B 28, 1450146 (2014)
A.C.M. de Oca, N.H. March, A. Cabo-Bizet, Int. J. Mod. Phys. B 28, 1450027 (2014)
Y. Vielza, A.C.M. de Oca, Rev. Cuba. Fis. 31, 75 (2014)
H.-C. Jiang, T.P. Devereaux, Science 365, 1424 (2019)
P.W. Anderson, Phys. Rev. 115, 2 (1959)
L.F. Mattheiss, Phys. Rev. Lett. 58, 1028 (1987)
C.Y. Chen, R.J. Birgeneau, M.A. Kastner, N.W. Preyer, T. Thio, Phys. Rev. B 43, 392 (1991)
C.Y. Chen, N.W. Preyer, P.J. Picone, M.A. Kastner, H.P. Jenssen, D.R. Gabbe, A. Cassanho, R.J. Birgeneau, Phys. Rev. Lett. 63, 2307 (1989)
T. Yoshida, X.J. Zhou, K. Tanaka, W.L. Yang, Z. Hussain, Z.-X. Shen, A. Fujimori, S. Sahrakorpi, M. Lindroos, R.S. Markiewicz, A. Bansil, S. Komiya, Y. Ando, H. Eisaki, T. Kakeshita, S. Uchida, Phys. Rev. B 74, 224510 (2006)
J.M. Ginder, M.G. Roe, Y. Song, R.P. McCall, J.R. Gaines, E. Ehrenfreund, A.J. Epstein, Phys. Rev. B 37, 7506 (1988)
T. Timusk, B. Statt, Rep. Progr. Phys. 62, 61 (1999)
A. Fujimori, A. Ino, T. Yoshida, T. Mizokawa, M. Nakamura, C. Kim, Z.-X. Shen, T. Kakeshita, H. Eisaki, S. Uchida, Phys. C 341–348, 2067 (2000)
E.C. Marino, R.O. Corrêa, R. Arouca, L.H.C.M. Nunes, V.S. Alves, Supercond. Sci. Technol. 33, 035009 (2020)
N.P. Armitage, F. Ronning, D.H. Lu, C. Kim, A. Damascelli, K.M. Shen, D.L. Feng, H. Eisaki, Z.-X. Shen, P.K. Mang, N. Kaneko, M. Greven, Y. Onose, Y. Taguchi, Y. Tokura, Phys. Rev. Lett. 88, 257001 (2002)
H. Matsui, T. Takahashi, T. Sato, K. Terashima, H. Ding, T. Uefuji, K. Yamada, Phys. Rev. B 75, 224514 (2007)
M.V. Kartsovnik, T. Helm, C. Putzke, F. Wolff-Fabris, I.B. Sheikin, S. Lepault, C. Proust, D. Vignolles, N. Bittner, W. Biberacher, A. Erb, J. Wosnitza, R. Gross, New J. Phys. 13, 015001 (2011)
Acknowledgements
YV, MDCF, and EPR thank the financial support from CNPq, CAPES and FACEPE (Brazilian agencies). ACMO acknowledges the support from the OEA, ICTP Network N-09.
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YV and ACMO initiated the solution to the problem. YV formulated the one-band model, designed the code, and performed the numerical analysis based on the method solution presented by ACMO. YV also worte the first version of the manuscript. MDCF and EPR participated on the discussion of the results and writing of the final version of the manuscript.
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Vielza, Y., de Oca, A.C.M., Coutinho-Filho, M.D. et al. Pseudogap Mott-phase in cuprate superconductors: a Hartree–Fock study with limited next-nearest-neighbor hopping. Eur. Phys. J. B 95, 33 (2022). https://doi.org/10.1140/epjb/s10051-022-00298-w
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DOI: https://doi.org/10.1140/epjb/s10051-022-00298-w