Abstract
Different from one-dimensional systems, nesting in two-dimensional (2D) systems is not perfect but some 2D systems still have Peierls instability and hidden nesting. This paper shows that the next-nearest neighbor (NNN) hopping which controls the nesting deviation, heavily suppresses the Peierls instability. There is a critical value for the NNN hopping, beyond which the Peierls instability is destroyed and the hidden nesting is lost. The impact of such change to other phase transitions is discussed.
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