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Orbital ordering and frustrations

2003/04/03 by Daniel Khomskii, D. I. Khomskiǐ, Maxim Mostovoy · 5 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Rare-earth and actinide compounds #cond-mat.mtrl-sci #cond-mat.str-el

paper · pdf · doi:10.1088/0305-4470/36/35/307

6 figures, accepted for publication in Journal of Physics A: Mathematical and General

arxiv created 2003/04/03 · openalex publication_date 2003/08/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Orbital ordering occurs in many transition metal compounds with Jahn–Teller ions (Cu 2+ , Mn 3+ , low-spin Ni 3+ , Ti 3+ etc). It plays an important role in these materials. At the same time, exchange interactions in orbitally degenerate systems are inherently frustrated, even in materials with simple crystal lattices. We discuss the origin of this frustration, considering in detail materials with cubic and triangular lattices of transition metal ions. We also discuss possible types of ground states of such systems, e.g., disordered orbital liquids and ordering due to the order-from-disorder mechanism.

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