TY - CHAP

T1 - Frustration effect in strongly correlated electron systems with orbital degree of freedom

AU - Ishihara, Sumio

N1 - Funding Information:
The theoretical studies introduced in this paper have been done in collaboration with T. Tanaka (ISSP, University of Tokyo) and J. Nasu (Department of Physics, Tohoku University). The author would like to thank M. Matsumoto and K. Harada for their valuable discussions. This work was supported by JSPS KAKENHI (16104005), and TOKUTEI (18044001, 19052001, 19014003) from MEXT, NAREGI, and CREST.

PY - 2010

Y1 - 2010

N2 - In a solid with orbital degree of freedom, an orbital configuration does not minimize simultaneously bond energies in equivalent directions. This is a kind of frustration effect which exists intrinsically in orbital degenerate system. We review in this paper the intrinsic orbital frustration effects in Mott insulating systems. We introduce recent our theoretical studies in three orbital models, i. e. the cubic lattice orbital model, the two-dimensional orbital compass model and the honeycomb lattice orbital model. We show numerical results obtained by the Monte-Carlo simulations in finite size systems, and introduce some non-trivial orbital states due to the orbital frustration effect.

AB - In a solid with orbital degree of freedom, an orbital configuration does not minimize simultaneously bond energies in equivalent directions. This is a kind of frustration effect which exists intrinsically in orbital degenerate system. We review in this paper the intrinsic orbital frustration effects in Mott insulating systems. We introduce recent our theoretical studies in three orbital models, i. e. the cubic lattice orbital model, the two-dimensional orbital compass model and the honeycomb lattice orbital model. We show numerical results obtained by the Monte-Carlo simulations in finite size systems, and introduce some non-trivial orbital states due to the orbital frustration effect.

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U2 - 10.1007/978-3-642-03432-9_22

DO - 10.1007/978-3-642-03432-9_22

M3 - Chapter

AN - SCOPUS:78149485170

SN - 9783642034312

T3 - Springer Series in Chemical Physics

SP - 727

EP - 742

BT - The Jahn-Teller Effect

A2 - Castleman, Jr., A.W.

A2 - Toennies, J.P.

A2 - Yamanouchi, K.

A2 - Zinth, W.

ER -