Dynamical Peierls' energy gap generation in one-dimensional charge-densitywaves systems

Using bosonization methods we consider the Lagrangian model describing the electron-phonon system using a slowly-varying phonon amplitude approximatio n. The phase of the phonon field is fermionized. and the effective model is mapped into the chiral Gross-Neveu model with two Fermi field species. The chiral density of the electron field and the phase of the phonon field con densate as a soliton order parameter. The incommensurate charge-density wav e can be pictured as a collective excitation of the combined motion of both the electrons and lattice ions, accomplished by a dynamical electron-latti ce energy redistribution (Peierls' energy gap generation). (C) 2001 Elsevie r Science B.V. All rights reserved.