Structural Energy and Stability Condition of the Peierls State

Abstract

The structural energy associated with the Peierls instability in 1-D conductors can be expressed as δU=cA²+dA², A being the order parameter. Because of the defendence of c on the Peierls-gap, the minimized δU still has the quadratic term of A in addition to the usual quartic term. However, it still holds that whether or not the Peierls transition takes place depends on the balance between the band-structure term and the electrostatic term in the pseudopotential theory.