Quantum Phase Transitions to Charge-Ordered and Wigner-Crystal States under the Interplay of Lattice Commensurability and Long-Range Coulomb Interactions

Yohei Noda, Masatoshi Imada

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Abstract

The relationship among the Wigner crystal, charge ordering, and the Mott insulator is studied by the path-integral renormalization group method in two-dimensional systems with long-range Coulomb interaction. In contrast to the insensitivity of the Hartree-Fock results, the stability of the solid drastically decreases with the decrease in the lattice commensurability. The transition to liquid occurs at the electron gas parameter [Formula presented] for the filling [Formula presented], showing a large reduction from [Formula presented] in the continuum limit. A correct account of quantum fluctuations is crucial to understanding the charge-order stability generally observed only at simple fractional fillings and the nature of quantum liquids away from them.

Original languageEnglish
JournalPhysical Review Letters
Volume89
Issue number17
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

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crystals
renormalization group methods
interactions
liquids
electron gas
insulators
continuums
sensitivity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "The relationship among the Wigner crystal, charge ordering, and the Mott insulator is studied by the path-integral renormalization group method in two-dimensional systems with long-range Coulomb interaction. In contrast to the insensitivity of the Hartree-Fock results, the stability of the solid drastically decreases with the decrease in the lattice commensurability. The transition to liquid occurs at the electron gas parameter [Formula presented] for the filling [Formula presented], showing a large reduction from [Formula presented] in the continuum limit. A correct account of quantum fluctuations is crucial to understanding the charge-order stability generally observed only at simple fractional fillings and the nature of quantum liquids away from them.",
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N2 - The relationship among the Wigner crystal, charge ordering, and the Mott insulator is studied by the path-integral renormalization group method in two-dimensional systems with long-range Coulomb interaction. In contrast to the insensitivity of the Hartree-Fock results, the stability of the solid drastically decreases with the decrease in the lattice commensurability. The transition to liquid occurs at the electron gas parameter [Formula presented] for the filling [Formula presented], showing a large reduction from [Formula presented] in the continuum limit. A correct account of quantum fluctuations is crucial to understanding the charge-order stability generally observed only at simple fractional fillings and the nature of quantum liquids away from them.

AB - The relationship among the Wigner crystal, charge ordering, and the Mott insulator is studied by the path-integral renormalization group method in two-dimensional systems with long-range Coulomb interaction. In contrast to the insensitivity of the Hartree-Fock results, the stability of the solid drastically decreases with the decrease in the lattice commensurability. The transition to liquid occurs at the electron gas parameter [Formula presented] for the filling [Formula presented], showing a large reduction from [Formula presented] in the continuum limit. A correct account of quantum fluctuations is crucial to understanding the charge-order stability generally observed only at simple fractional fillings and the nature of quantum liquids away from them.

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