Orbital Order and Electronic Correlations in a Planar Model for Manganites

  • Mukul S. Laad The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India
  • Alberto S. de Arruda Instituto de Física - UFMT
  • Luis Craco Instituto de Física - UFMT


Understanding orbital ordered (OO) Mott insulating states lies at the heart of a consistent resolution of the colossal magneto-resistance (CMR) observed in manganites, where its melting induces a low-$T$ insulator-metal transition upon hole doping for $0.25 \le x\le 0.45$. Motivated thereby, we study the OO states in a planar model for bilayer manganites using dynamical-mean-field-theory (DMFT) and finite-size diagonalisation methods. We derive the OO ground states in manganites, for $x=0,\frac{1}{2},\frac{2}{3},\frac{3}{4}$ in agreement with observations, including the charge-orbital-magnetic ordered stripe phases for $x>\frac{1}{2}$. These OO states are shown to be associated with an alloy ordering of the $d_{3x^{2}-r^{2}}/d_{3y^{2}-r^{2}}$ orbitals on each $Mn^{3+}$ site.


Y. Tokura, Colossal Magnetoresistive Oxides (Amsterdam, The Netherlands: Gordon and Breach Science Publishers, 2000) ISBN 9789056992316.

V. Moshnyaga et al., Nature Mater. 2, 247 (2003).

E. Dagotto, Nanoscale Phase Separation and Colossal Magnetoresistance: The Physics of Manganites and Related Compounds, Springer Series in Solid-State Sciences (Springer, 2003) ISBN 9783540432456.

S. Ishihara, J. Inoue, and S. Maekawa, Phys. Rev. B 55, 8280 (1997).

S. Uhlenbruck et al., Phys. Rev. Lett. 82, 185 (1999).

H. Ehrke et al., Phys. Rev. Lett. 106, 217401 (2011).

Y. Tomioka et al., Phys. Rev. Lett. 74, 5108 (1995).

S. Mori, C. H. Chen, and S.-W. Cheong, Nature 392, 473 (1998).

Y. Okimoto et al., Phys. Rev. Lett. 75, 109 (1995).

D. S. Dessau et al., Phys. Rev. Lett. 81, 192 (1998).

J. R. Simpson et al., Phys. Rev. B 60, R16263 (1999).

U. D. Wdowik, M. M. Koza, and T. Chatterji, Phys. Rev. B 86, 174305 (2012).

E. Pavarini and E. Koch, Phys. Rev. Lett. 104, 086402 (2010).

G.-M. Zhao et al., Nature 381, 676 (1996).

N. A. Babushkina et al., Nature 391, 159 (1998).

J. C. Loudon et al., Phys. Rev. Lett. 94, 097202 (2005).

N. Furukawa, J. Phy. Soc. Jpn. 64, 2734 (1995).

M. S. Laad, L. Craco, and E. Müller-Hartmann, Phys. Rev. B 63, 214419 (2001).

T. Chatterji, Colossal Magnetoresistive Manganites (Springer Netherlands, 2012) ISBN 9789401512442.

K. Kugel and D. I. Khomskii, Sov. Phys.-JETP 37, 725 (1973).

G. Khaliullin and V. Oudovenko, Phys. Rev. B 56, R14243 (1997).

L. F. Feiner, A. M. Oles, and J. Zaanen, J. Phys. Condens. Matter 10, L555 (1998).

V. Ferrari, M. J. Rozenberg, and R. Weht, Mod. Phys. Lett. B 15, 1031 (2001).

L. M. Falicov and J. C. Kimball, Phys. Rev. Lett. 22, 997 (1969).

J. K. Freericks and V. Zlati ́ , Rev. Mod. Phys. 75, 1333 (2003).

T. Kennedy and E. H. Lieb, Physica 138A, 320 (1986).

E. H. Lieb, Physica 140A, 240 (1986).

A. Yamasaki et al., Phys. Rev. Lett. 96, 166401 (2006).

R. Lema ́ ski, J. Freericks, and G. Banach, Journal of Statistical Physics 116, 699 (2004).

A. Georges et al., Rev. Mod. Phys. 68, 13 (1996).

L. Craco, Phys. Rev. B 59, 14837 (1999).

Q. Si, M. J. Rozenberg, G. Kotliar, and A. E. Ruckenstein, Phys. Rev. Lett. 72, 2761 (1994).

M. S. Laad, L. Craco, and E. Müller-Hartamann, New Journal of Physics 6, 157 (2004).

E. Müller-Hartmann, T. V. Ramakrishnan, and G. Toulouse, Phys. Rev. B 3, 1102 (1971).

T. D. Stanescu and G. Kotliar, Phys. Rev. B 74, 125110 (2006).

D. D. Fontaine (Academic Press, 1979) pp. 73–274.

A. Taraphder, Journal of Physics: Condensed Matter 19, 125218 (2007).

M. B. Salamon and M. Jaime, Rev. Mod. Phys. 73 (2001).

T. Hotta and E. Dagotto, Phys. Rev. Lett. 92, 227201 (2004).

T. A. Miller et al., Nat. Commun. 6, 8175 (2015).
Como Citar
S. LAAD, Mukul; S. DE ARRUDA, Alberto; CRACO, Luis. Orbital Order and Electronic Correlations in a Planar Model for Manganites. Physicae, [S.l.], n. 11, p. p. 19-23, dec. 2015. ISSN 22363521. Disponível em: <http://physicae.ifi.unicamp.br/index.php/physicae/article/view/324>. Acesso em: 26 june 2017. doi: https://doi.org/10.5196/physicae.v11i11.324.