Quantum effects of resistance-shunted Josephson junctions

Takeo Kato; Masatoshi Imada

doi:10.1143/JPSJ.69.203

Quantum effects of resistance-shunted Josephson junctions

Takeo Kato^*, Masatoshi Imada

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 shunt resistance and the quantum resistance. In addition to an effective bandwidth 2ℏΔ_eff, we find that this multi-level system genuinely has a novel crossover at lower energy KℏΔ_eff 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.

Original language	English
Pages (from-to)	203-212
Number of pages	10
Journal	journal of the physical society of japan
Volume	69
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.69.203
Publication status	Published - 2000 Jan
Externally published	Yes

Keywords

Coulomb blockade
Dissipation
Josephson junctions
Macroscopic quantum effects
Superconductor-insulator transition

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.69.203

Cite this

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abstract = "Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit EC/EJ ≪ 1, where EC and EJ are a charging energy and a Josephson coupling energy respectively. Based on a phenomenological harmonic-oscillator model, weak coupling region K = RQ/R ≪ 1 is analytically studied, where R and RQ = h/(2e)2 are a shunt resistance and the quantum resistance. In addition to an effective bandwidth 2ℏΔeff, we find that this multi-level system genuinely has a novel crossover at lower energy KℏΔeff 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 = "Coulomb blockade, Dissipation, Josephson junctions, Macroscopic quantum effects, Superconductor-insulator transition",

author = "Takeo Kato and Masatoshi Imada",

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AU - Kato, Takeo

AU - Imada, Masatoshi

PY - 2000/1

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N2 - Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit EC/EJ ≪ 1, where EC and EJ are a charging energy and a Josephson coupling energy respectively. Based on a phenomenological harmonic-oscillator model, weak coupling region K = RQ/R ≪ 1 is analytically studied, where R and RQ = h/(2e)2 are a shunt resistance and the quantum resistance. In addition to an effective bandwidth 2ℏΔeff, we find that this multi-level system genuinely has a novel crossover at lower energy KℏΔeff 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.

AB - Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit EC/EJ ≪ 1, where EC and EJ are a charging energy and a Josephson coupling energy respectively. Based on a phenomenological harmonic-oscillator model, weak coupling region K = RQ/R ≪ 1 is analytically studied, where R and RQ = h/(2e)2 are a shunt resistance and the quantum resistance. In addition to an effective bandwidth 2ℏΔeff, we find that this multi-level system genuinely has a novel crossover at lower energy KℏΔeff 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.

KW - Coulomb blockade

KW - Dissipation

KW - Josephson junctions

KW - Macroscopic quantum effects

KW - Superconductor-insulator transition

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Quantum effects of resistance-shunted Josephson junctions

Abstract

Keywords

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