English

Quantum Effects in Resistance-Shunted Josephson Junctions

Superconductivity 2007-05-23 v1 Mesoscale and Nanoscale Physics

Abstract

Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit E_C/E_J<<1, where E_C and E_J are a charging energy and a Josephson coupling energy respectively. Based on a phenomenological harmonic-oscillator model, weak coupling region K=R_Q/R<<1 is analytically studied, where R and R_Q=h/(2e)^2 are a shunted resistance and the quantum resistance. In addition to the effective bandwidth, we find that this multi-level system genuinely has a novel crossover at lower energy below which the density of states becomes strongly degenerate. These two energy scales control the linear DC responses, optical responses, and nonlinear I-V characteristics. The lower energy crossover indicates the existence of a new class of strongly-correlated phenomena beyond the framework of the Kondo problem.

Keywords

Cite

@article{arxiv.cond-mat/9908192,
  title  = {Quantum Effects in Resistance-Shunted Josephson Junctions},
  author = {Takeo Kato and Masatoshi Imada},
  journal= {arXiv preprint arXiv:cond-mat/9908192},
  year   = {2007}
}

Comments

10 pages, 7 figures

R2 v1 2026-07-22T12:14:05.653Z