Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 69, Issue 6, Pages 1769-1776Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.69.1769
Keywords
Peierls transition; two-dimensional electron-lattice systems; nesting; Peierls gap; Peierls distortion; second order perturbation
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The Peierls distortions in a two-dimensional electron-lattice system described by a Su-Schrieffer-Heeger type model extended to two-dimensions are numerically studied for a square lattice. The electronic band is just half-filled and the nesting vector is (pi/a, pi/a) with a the lattice constant. In contrast to the previous understanding on the Peierls transition in two dimensions, the distortions which are determined so as to minimize the total energy of the system involve not only the Fourier component with the nesting wave vector but also many other components with wave vectors parallel to the nesting vector. It is found that such unusual distortions contribute to the formation of gap in the electronic energy spectrum by indirectly (in the sense of second order perturbation) connecting two states having wave vectors differing by the nesting vector from each other. Analyses for different system sizes and for different electron-lattice coupling constants indicate that the existence of such distortions is not a numerical artifact. It is shown that the gap of the electronic energy spectrum is finite everywhere over the Fermi surface.
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