# Quantum phase transitions in dissipative tunnel junctions

@article{Drewes2003QuantumPT, title={Quantum phase transitions in dissipative tunnel junctions}, author={S. Drewes and Daniel P. Arovas and Scot R. Renn}, journal={Physical Review B}, year={2003}, volume={68} }

The Ueda-Guinea model of a dissipative tunnel junction is investigated. This model accounts for final-state effects associated with single-electron tunneling. A quantum phase transition emerges, marking a boundary betweeninsulating (Coulomb blockade) and conducting phases. The system is analyzed by large-N techniques, self-consistent harmonic approximation, and Monte Carlo methods.

## Figures from this paper

## 6 Citations

### Dissipative phase transition in two-dimensional d-wave Josephson junctions

- Physics
- 2005

Quantum dynamics of in-plane Josephson junctions between two d-wave superconducting films is described by the anisotropic XY-model, where both quasiparticle and Cooper pair tunnelling terms appear to…

### Quantum phase transition of the sub-Ohmic rotor model

- Physics
- 2011

We investigate the behavior of an $N$-component quantum rotor coupled to a bosonic dissipative bath having a sub-Ohmic spectral density $J(\omega) \propto \omega^s$ with $s s>1/2$, we find nontrivial…

### Connecting the SYK Dots

- PhysicsCondensed Matter
- 2020

We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev–Ye–Kitaev (SYK) quantum dots, each occupied by a large number N ≫ 1 of charge-carrying fermions.…

### Connecting the SYK dots

- Physics
- 2020

: We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev–Ye–Kitaev (SYK) quantum dots, each occupied by a large number N (cid:29) 1 of charge-carrying…

### Magnetic phases in the one-dimensional Kondo chain on a metallic surface

- Physics
- 2012

A.M.L. and P.C. acknowledge support from the Swiss National Science Foundation under MaNEP and Division II. A.M.L. acknowledges support from DARPA QuEST, JQI-NSFPFC. M.A.C. acknowledges the…

### One SYK single electron transistor

- Physics
- 2020

We study the behaviour of a single electron transistor (SET) represented by a dissipative tunnel junction between a pair of quantum dots described by two (possibly, different) Sachdev–Ye–Kitaev (SYK)…

## References

SHOWING 1-10 OF 33 REFERENCES

### Quantum dynamics of tunneling between superconductors

- Physics
- 1982

A functional integral formulation is used to treat the quantum dynamics of a microscopic model of a Josephson junction, including the dissipative effects of quasiparticle tunneling. The calculation…

### EFFECT OF TUNNELING CONDUCTANCE ON THE COULOMB STAIRCASE

- Physics
- 1998

Quantum fluctuations of the charge in the single electron box are investigated. The rounding of the Coulomb staircase caused by virtual electron tunneling is determined by perturbation theory up to…

### Zero temperature phase diagram of a small metallic junction

- Physics
- 1991

We discuss the phase diagram for a metal tunnel junction with quasiparticle dissipation. We present some evidences of aT=0 phase transition induced by dissipation, by means of Monte Carlo simulation…

### Crossover from Coulomb-blockade to ohmic conduction in small tunnel junctions

- Physics
- 1991

We discuss the suppression of Coulomb effects in the low temperature conductanceg(T) of small tunnel junctions with increasing dissipation or bare conductanceg. The conductance is expressed in terms…

### ELECTRON-HOLE COHERENCE AND CHARGING EFFECTS IN ULTRASMALL METALLIC GRAINS

- Physics
- 1998

We consider a model for electron tunneling between a pair of ultrasmall metallic grains. Under appropriate circumstances, non-equilibrium final state effects can strongly enhance tunneling and…

### Quantum shot noise in tunnel junctions

- Physics
- 1985

The current and voltage fluctuations in a normal tunnel junction are calculated from microscopic theory. The power spectrum can deviate from the familiar Johnson-Nyquist form when the…

### Nonequilibrium effects in transport through quantum dots

- Physics
- 2000

Forschungszentrum Karlsruhe, Institut fu¨r Nanotechnologie, 76021 Karlsruhe, Germany(February 1, 2008)The role of non-equilibrium eﬀects in the conductance through quantum dots is investigated.…

### Coulomb Blockade Fluctuations in Strongly Coupled Quantum Dots

- Physics
- 1999

Quantum fluctuations of the Coulomb blockade are investigated as a function of the coupling to reservoirs in semiconductor quantum dots. We use fluctuations in the distance between peaks DN apart to…

### Transition to Ohmic conduction in ultrasmall tunnel junctions.

- PhysicsPhysical review. B, Condensed matter
- 1986

The effective conductance of an ultrasmall tunnel junction is calculated from the functional-integral description beyond the weak-coupling limit by employing the self-consistent harmonic approximation, and results indicate a possibility of a precipitous transition for ${R}_{N}$ of the order of $\frac{\ensuremath{\hbar}}{{e}^{2}}$.