Driving a first order quantum phase transition by coupling a quantum dot to a 1D charge density wave

Abstract

The ground state properties of a one-dimensional system with particle-hole symmetry, consisting of a gate controlled dot coupled to an interacting reservoir, are explored using the numerical DMRG method. It was previously shown that the system's thermodynamic properties as a function of the gate voltage in the Luttinger liquid phase are qualitatively similar to the behavior of a non-interacting wire with an effective (renormalized) dot-lead coupling. Here we examine the thermodynamic properties of the wire in the charge density wave phase, and show that these properties behave quite differently. The number of electrons in the system remains constant as a function of the gate voltage, while the total energy becomes linear. Moreover, by tuning the gate voltage on the dot in the charge density wave phase it is possible to drive the wire through a first order quantum phase transition in which the population of each site in the wire is inverted.

7 pages, 7 figures

References in corpus (6)

• Spin-charge separation and localization in one-dimension
• Coulomb-Modified Fano Resonance in a One-Lead Quantum Dot
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Occupation of a resonant level coupled to a chiral Luttinger liquid
• Functional Integral Bosonization for Impurity in Luttinger Liquid
• A level coupled to a 1D interacting reservoir : A DMRG study

Cited by in corpus (5)

• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• 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
• Finite doping of a one-dimensional charge density wave: solitons vs. Luttinger liquid charge density
• Disorder effect on the Friedel oscillations in a one-dimensional Mott insulator