2018/01/09 by Dante M. Kennes, Kennes, D. M.
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Quantum and electron transport phenomena #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Surface and Thin Film Phenomena
paper · pdf · doi:10.48550/arxiv.1801.02866
openalex publication_date 2018/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study correlated quantum wires subject to harmonic modulation of the onsite-potential concentrating on the limit of large times, where the response of the system has synchronized with the drive. We identify the ratio Δε/Ω of the driving amplitude Δε and the frequency of driving Ω as the scale determining the crossover from a modified Luttinger liquid picture to a system that behaves effectively like a higher dimensional one. We exemplify this crossover by studying the frequency dependency of the boundary density of state ρ\rm B(ω) as well as the temperature dependency of the linear conductance G(T) through the wire, if the latter is contacted to leads. Both observables are known to exhibit Luttinger liquid physics without driving given by characteristic power-law suppression as ω→ε\rm F (with ε\rm F the Fermi energy) or T→ 0, respectively. With driving we find that this suppression is modified from a single power-law to a superposition of an infinite number of power laws. At small Δε/Ω≪ 1 only a few terms of this infinite sum are relevant as the prefactors of higher terms are suppressed exponentially. Thus a picture similar to the equilibrium Luttinger liquid one emerges. Increasing Δε/Ω an increasing number of power laws contribute to the sum and approaching Δε/Ω≫ 1 the system behaves effectively two dimensional, for which the suppression is wiped out completely.