Broken Symmetry States of Doubly Degenerate Orbital Systems with Cubic Structure–Group Theoretical Classification

For the eg Hubbard model on a simple cubic lattice group theoretical classification of mean field solutions have been made by assuming four kinds of single-Q wave vectors (0,0,0), (0,0,π), (π,π,0) and (π,π,π), and collinear magnetic states. Twenty-one broken symmetry states have been obtained in det...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Physical Society of Japan 2003-10, Vol.72 (10), p.2589-2598
Main Authors: Masago, Akira, Suzuki, Naoshi
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For the eg Hubbard model on a simple cubic lattice group theoretical classification of mean field solutions have been made by assuming four kinds of single-Q wave vectors (0,0,0), (0,0,π), (π,π,0) and (π,π,π), and collinear magnetic states. Twenty-one broken symmetry states have been obtained in detail. Besides the usual charge and spin ordering states the so-called orbital orders of the two eg states, φ1=(3z2-r2)/\\sqrt3 and φ2=x2-y2, or their linear combinations have been derived. It is shown that the broken symmetry states corresponding to ordering of the complex orbital states Ψ1=\\frac1\\sqrt2(φ1-iφ2) and Ψ2=\\frac1\\sqrt2(φ1+iφ2) represent octupole ordering. Finally quite exotic broken symmetry states consisting of combination of charge, spin and orbital orderings are derived.
ISSN:0031-9015
1347-4073
DOI:10.1143/JPSJ.72.2589