Phase transitions in dissipative Josephson chains : Monte Carlo results and response functions

P.A. Bobbert, R. Fazio, G. Schnön, A.D. Zaikin

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Abstract

A chain of Josephson junctions shunted by Ohmic resistors undergoes phase transitions at zero temperature that results from the interplay between quantum fluctuations induced by charging effects and the dissipation. The quantum-mechanical partition function expressed in terms of phase slips in space-time can be mapped onto that of a two-dimensional Coulomb gas. Due to the dissipation the interaction is anisotropic. Despite the simplicity of the model, there is no general agreement about the phase diagram and the response functions. The authors have performed Monte Carlo simulations to determine the zero-temperature phase boundaries. They find four phases with the absence or presence of global or local order, in all combinations. The authors discuss the response functions in the different phases and find interesting transport properties
Original languageEnglish
Pages (from-to)2294-2304
Number of pages11
JournalPhysical Review B: Condensed Matter
Volume45
Issue number5
DOIs
Publication statusPublished - 1992

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Phase transitions
dissipation
Phase boundaries
resistors
Josephson junctions
Resistors
Transport properties
Phase diagrams
charging
partitions
slip
transport properties
Gases
phase diagrams
Temperature
temperature
gases
simulation
interactions
Monte Carlo simulation

Cite this

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title = "Phase transitions in dissipative Josephson chains : Monte Carlo results and response functions",
abstract = "A chain of Josephson junctions shunted by Ohmic resistors undergoes phase transitions at zero temperature that results from the interplay between quantum fluctuations induced by charging effects and the dissipation. The quantum-mechanical partition function expressed in terms of phase slips in space-time can be mapped onto that of a two-dimensional Coulomb gas. Due to the dissipation the interaction is anisotropic. Despite the simplicity of the model, there is no general agreement about the phase diagram and the response functions. The authors have performed Monte Carlo simulations to determine the zero-temperature phase boundaries. They find four phases with the absence or presence of global or local order, in all combinations. The authors discuss the response functions in the different phases and find interesting transport properties",
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year = "1992",
doi = "10.1103/PhysRevB.45.2294",
language = "English",
volume = "45",
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journal = "Physical Review B: Condensed Matter",
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Phase transitions in dissipative Josephson chains : Monte Carlo results and response functions. / Bobbert, P.A.; Fazio, R.; Schnön, G.; Zaikin, A.D.

In: Physical Review B: Condensed Matter, Vol. 45, No. 5, 1992, p. 2294-2304.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Phase transitions in dissipative Josephson chains : Monte Carlo results and response functions

AU - Bobbert, P.A.

AU - Fazio, R.

AU - Schnön, G.

AU - Zaikin, A.D.

PY - 1992

Y1 - 1992

N2 - A chain of Josephson junctions shunted by Ohmic resistors undergoes phase transitions at zero temperature that results from the interplay between quantum fluctuations induced by charging effects and the dissipation. The quantum-mechanical partition function expressed in terms of phase slips in space-time can be mapped onto that of a two-dimensional Coulomb gas. Due to the dissipation the interaction is anisotropic. Despite the simplicity of the model, there is no general agreement about the phase diagram and the response functions. The authors have performed Monte Carlo simulations to determine the zero-temperature phase boundaries. They find four phases with the absence or presence of global or local order, in all combinations. The authors discuss the response functions in the different phases and find interesting transport properties

AB - A chain of Josephson junctions shunted by Ohmic resistors undergoes phase transitions at zero temperature that results from the interplay between quantum fluctuations induced by charging effects and the dissipation. The quantum-mechanical partition function expressed in terms of phase slips in space-time can be mapped onto that of a two-dimensional Coulomb gas. Due to the dissipation the interaction is anisotropic. Despite the simplicity of the model, there is no general agreement about the phase diagram and the response functions. The authors have performed Monte Carlo simulations to determine the zero-temperature phase boundaries. They find four phases with the absence or presence of global or local order, in all combinations. The authors discuss the response functions in the different phases and find interesting transport properties

U2 - 10.1103/PhysRevB.45.2294

DO - 10.1103/PhysRevB.45.2294

M3 - Article

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SP - 2294

EP - 2304

JO - Physical Review B: Condensed Matter

JF - Physical Review B: Condensed Matter

SN - 0163-1829

IS - 5

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