Directional ordering of fluctuations in a two-dimensional compass model

Anup Mishra; Michael Ma; Fu Chun Zhang; Siegfried Guertler; Lei Han Tang; Shaolong Wan

doi:10.1103/PhysRevLett.93.207201

Directional ordering of fluctuations in a two-dimensional compass model

Anup Mishra^*, Michael Ma, Fu Chun Zhang, Siegfried Guertler, Lei Han Tang, Shaolong Wan

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

66 Citations (Scopus)

Abstract

A classical realization of directional coupling in two dimension of the effective orbital-orbital interaction in the Mott insulating phase of the transition metal oxides (TMO) was presented. The model exhibited partial orbital ordering in the form of directional ordering of fluctuation at low temperatures stabilized by an entropy gap. The directional ordering was necessarily accompanied by a lattice distortion and the bond length in horizontal and vertical directions became unequal when the couplings of the orbital isosopin to lattice modes were included. Analysis shows that the compass model has a low temperature phase which exhibited long-ranged correlations in the directions of fluctuations in both isospin and lattice spaces.

Original language	English
Article number	207201
Pages (from-to)	207201-1-207201-4
Number of pages	4
Journal	Physical Review Letters
Volume	93
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.93.207201
Publication status	Published - 12 Nov 2004

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Physics and Astronomy(all)

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10.1103/PhysRevLett.93.207201

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title = "Directional ordering of fluctuations in a two-dimensional compass model",

abstract = "A classical realization of directional coupling in two dimension of the effective orbital-orbital interaction in the Mott insulating phase of the transition metal oxides (TMO) was presented. The model exhibited partial orbital ordering in the form of directional ordering of fluctuation at low temperatures stabilized by an entropy gap. The directional ordering was necessarily accompanied by a lattice distortion and the bond length in horizontal and vertical directions became unequal when the couplings of the orbital isosopin to lattice modes were included. Analysis shows that the compass model has a low temperature phase which exhibited long-ranged correlations in the directions of fluctuations in both isospin and lattice spaces.",

author = "Anup Mishra and Michael Ma and Zhang, {Fu Chun} and Siegfried Guertler and Tang, {Lei Han} and Shaolong Wan",

note = "Funding Information: We thank D. Priour, J. Perk, H. Au-Yang Perk, H. G. Evertz, and G. Khaliullin for useful discussions. This work is supported in part by the Research Grants Council of the Hong Kong SAR under Grants No. HKBU 2061/00P and No. HKBU 2017/03P, and by the HKBU under Grant No. FRG/01-02/II-65 (S. G., L. H. T., S. W.). Computations were carried out at HKBU's High Performance Cluster Computing Center supported by Dell and Intel.",

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doi = "10.1103/PhysRevLett.93.207201",

language = "English",

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AU - Mishra, Anup

AU - Ma, Michael

AU - Zhang, Fu Chun

AU - Guertler, Siegfried

AU - Tang, Lei Han

AU - Wan, Shaolong

N1 - Funding Information: We thank D. Priour, J. Perk, H. Au-Yang Perk, H. G. Evertz, and G. Khaliullin for useful discussions. This work is supported in part by the Research Grants Council of the Hong Kong SAR under Grants No. HKBU 2061/00P and No. HKBU 2017/03P, and by the HKBU under Grant No. FRG/01-02/II-65 (S. G., L. H. T., S. W.). Computations were carried out at HKBU's High Performance Cluster Computing Center supported by Dell and Intel.

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Y1 - 2004/11/12

N2 - A classical realization of directional coupling in two dimension of the effective orbital-orbital interaction in the Mott insulating phase of the transition metal oxides (TMO) was presented. The model exhibited partial orbital ordering in the form of directional ordering of fluctuation at low temperatures stabilized by an entropy gap. The directional ordering was necessarily accompanied by a lattice distortion and the bond length in horizontal and vertical directions became unequal when the couplings of the orbital isosopin to lattice modes were included. Analysis shows that the compass model has a low temperature phase which exhibited long-ranged correlations in the directions of fluctuations in both isospin and lattice spaces.

AB - A classical realization of directional coupling in two dimension of the effective orbital-orbital interaction in the Mott insulating phase of the transition metal oxides (TMO) was presented. The model exhibited partial orbital ordering in the form of directional ordering of fluctuation at low temperatures stabilized by an entropy gap. The directional ordering was necessarily accompanied by a lattice distortion and the bond length in horizontal and vertical directions became unequal when the couplings of the orbital isosopin to lattice modes were included. Analysis shows that the compass model has a low temperature phase which exhibited long-ranged correlations in the directions of fluctuations in both isospin and lattice spaces.

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U2 - 10.1103/PhysRevLett.93.207201

DO - 10.1103/PhysRevLett.93.207201

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M1 - 207201

ER -

Directional ordering of fluctuations in a two-dimensional compass model

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