Finite doping of a one-dimensional charge density wave: solitons vs. Luttinger liquid charge density

Abstract

The effects of doping on a one-dimensional wire in a charge density wave state are studied using the density-matrix renormalization group method. We show that for a finite number of extra electrons the ground state becomes conducting but the particle density along the wire corresponds to a charge density wave with an incommensurate wave number determined by the filling. We find that the absence of the translational invariance can be discerned even in the thermodynamic limit, as long as the number of doping electrons is finite. Luttinger liquid behavior is reached only for a finite change in the electron filling factor, which for an infinite wire corresponds to the addition of an infinite number of electrons. In addition to the half filled insulating Mott state and the conducting states, we find evidence for subgap states at fillings different from half filling by a single electron or hole. Finally, we show that by coupling our system to a quantum dot, one can have a discontinuous dependence of its population on the applied gate voltage in the thermodynamic limit, similarly to the one predicted for a Luttinger liquid without umklapp processes.

7 pages, 8 figures

References in corpus (5)

• The density-matrix renormalization group
• Phase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling
• Unusual conductance collapse in one-dimensional quantum structures
• Disorder effect on the Friedel oscillations in a one-dimensional Mott insulator
• Driving a first order quantum phase transition by coupling a quantum dot to a 1D charge density wave

Cited by in corpus (7)

• Duality between different geometries of a resonant level in a Luttinger liquid
• Interacting resonant level coupled to a Luttinger liquid: Universality of thermodynamic properties
• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• Capacitance of a resonant level coupled to Luttinger liquids
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions