Abstract
Determination of the parameter regime in which two holes in the t–J model form a bound state represents a long standing open problem in the field of strongly correlated systems. By applying and systematically improving the exact diagonalization method defined over a limited functional space (EDLFS), we show that the average distance between two holes scales as 〈d〉∼2(J/t)−1/4 for J/t<0.15, therefore, providing strong evidence that two holes in the t–J model form the bound state for any nonzero J/t. However, the symmetry of such bound pair in the ground state is p-wave. This state is consistent with phase separation at finite hole filling, as observed recently in Phys. Rev. B 85, 245113 (2012).
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Maśka, M.M., Mierzejewski, M., Kochetov, E.A., Vidmar, L., Bonča, J., Sushkov, O.P.: Phys. Rev. B 85, 245113 (2012)
Bonča, J., Prelovšek, P., Sega, I.: Phys. Rev. B 39, 7074 (1989)
Dagotto, E.: Rev. Mod. Phys. 66, 763 (1994) and references therein
Chernyshev, A.L., Leung, P.W., Gooding, R.J.: Phys. Rev. B 58, 13594 (1998)
Barentzen, H., Oudovenko, V.: Europhys. Lett. 47, 227 (1999)
Riera, J., Dagotto, E.: Phys. Rev. B 57, 8609 (1998)
Wróbel, P., Eder, R.: Phys. Rev. B 58, 15160 (1998)
Leung, P.W.: Phys. Rev. B 65, 205101 (2002)
Tohyama, T.: Phys. Rev. B 70, 174517 (2004)
Sorella, S., Martins, G.B., Becca, F., Gazza, C., Capriotti, L., Parola, A., Dagotto, E.: Phys. Rev. Lett. 88, 117002 (2002)
Hu, W.-J., Becca, F., Sorella, S.: Phys. Rev. B 85, 081110 (2012)
Corboz, P., White, S.R., Vidal, G., Troyer, M.: Phys. Rev. B 84, 041108 (2011)
Bonča, J., Maekawa, S., Tohyama, T.: Phys. Rev. B 76, 035121 (2007)
Vidmar, L., Bonča, J., Maekawa, S., Tohyama, T.: Phys. Rev. Lett. 103, 186401 (2009)
Mierzejewski, M., Vidmar, L., Bonča, J., Prelovšek, P.: Phys. Rev. Lett. 106, 196401 (2011)
Bonča, J., Mierzejewski, M., Vidmar, L.: Phys. Rev. Lett. 109, 156404 (2012)
Bonča, J., Maekawa, S., Tohyama, T., Prelovšek, P.: Phys. Rev. B 77, 054519 (2008)
Vidmar, L., Bonča, J., Tohyama, T., Maekawa, S.: Phys. Rev. Lett. 107, 246404 (2011)
Lau, B., Berciu, M., Sawatzky, G.A.: Phys. Rev. B 84, 165102 (2011)
Poilblanc, D.: Phys. Rev. B 48, 3368 (1993)
Boninsegni, M., Manousakis, E.: Phys. Rev. B 47, 11897 (1993)
White, S.R., Affleck, I.: Phys. Rev. B 64, 024411 (2001)
Maśka, M.M., Mierzejewski, M., Ferraz, A., Kochetov, E.A.: J. Phys. C: Solid State Phys. 11 (2009)
Prelovšek, P., Zotos, X.: Phys. Rev. B 47, 5984 (1993)
Poilblanc, D., Riera, J., Dagotto, E.: Phys. Rev. B 49, 12318 (1994)
Martins, G.B., Xavier, J.C., Arrachea, L., Dagotto, E.: Phys. Rev. B 64, 180513(R) (2001)
Wellein, G., Röder, H., Fehske, H.: Phys. Rev. B 53, 9666 (1996)
Sakai, T., Poilblanc, D., Scalapino, D.J.: Phys. Rev. B 55, 8445 (1997)
Hague, J.P., Kornilovitch, P.E., Samson, J.H., Alexandrov, A.S.: Phys. Rev. Lett. 98, 037002 (2007)
Huang, Z.B., Lin, H.Q., Arrigoni, E.: Phys. Rev. B 83, 064521 (2011)
Miranda, J., Mertelj, T., Kabanov, V., Mihailovic, D.: Phys. Rev. B 83, 125308 (2011)
Alexandrov, A.S., Samson, J.H., Sica, G.: Phys. Rev. B 85, 104520 (2012)
Vidmar, L., Bonča, J.: Phys. Rev. B 82, 125121 (2010)
Acknowledgements
We thank M. Mierzejewski, M.M. Maśka, T. Tohyama, and O.P. Sushkov for fruitful discussions. We acknowledge support by the P1-0044 of ARRS, Slovenia. L.V. is supported by the Alexander von Humboldt Foundation. J.B. expresses gratitude for the support of CINT user program, Los Alamos National Laboratory, NM USA, and Gordon Godfrey bequest of UNSW, Sydney, Australia, where part of this work has been performed.
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Vidmar, L., Bonča, J. Two Holes in the t–J Model Form a Bound State for Any Nonzero J/t . J Supercond Nov Magn 26, 2641–2645 (2013). https://doi.org/10.1007/s10948-013-2151-2
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DOI: https://doi.org/10.1007/s10948-013-2151-2