Dissipative phase fluctuations in superconducting wires capacitively coupled to diffusive metals

Lobos, Alejandro M.; Giamarchi, Thierry

doi:10.1103/physrevb.82.104517

Cited by 6 publications

(16 citation statements)

References 66 publications

(175 reference statements)

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“…The screened potential inside 1D wire behaves approximately like ln(1/r) [22], same relation holds for the screening induced by the presence of other wires [26]. In total we approximate that V in (q = 0) will get renormalized by a factor (1 + ln(a/b)) ≈ 1.6.…”

Section: Vin: Interaction Inside a Chainmentioning

confidence: 98%

Luttinger-liquid theory of purple bronze Li0.9Mo6O17in the charge regime

2012

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arXiv:1205.0239v1 [cond-mat.str-el] 1 May 2012Luttinger liquid theory of purple bronze Li 0.9 Mo 6 O 17 in the charge regime.P. Chudzinski, T. Jarlborg, and T. Giamarchi DPMC, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva 4, Switzerland (Dated: March 4, 2018 Molybdenum purple bronze Li0.9Mo6O17 is an exceptional material known to exhibit one dimensional (1D) properties for energies down to a few meV. This fact seems to be well established both in experiments and in band structure theory. We use the unusual, very 1-dimensional band dispersion obtained in ab-initio DFT-LMTO band calculations as our starting point to study the physics emerging below 300meV. A dispersion perpendicular to the main dispersive direction is obtained and investigated in detail. Based on this, we derive an effective low energy theory within the Tomonaga Luttinger liquid (TLL) framework. We estimate the strength of the possible interactions and from this deduce the values of the TLL parameters for charge modes. Finally we investigate possible instabilities of TLL by deriving renormalization group (RG) equations which allow us to predict the size of potential gaps in the spectrum. While 2kF instabilities strongly suppress each other, the 4kF instabilities cooperate, which paves the way for a possible CDW at the lowest energies. The aim of this work is to understand the experimental findings, in particular the ones which are certainly lying within the 1D regime. We discuss the validity of our 1D approach and further perspectives for the lower energy phases. [12]. Although the main effort of those investigations was focused on the nature of a mysterious phase transition at around 25K, interesting knowledge about higher energy phase was also gathered. Certain properties of the one dimensional (1D) metal, the Luttinger liquid (TLL), have been invoked to explain the measured data [2,3,13,14] and nowadays the presence of the 1D physics is well established experimentally [15,16], at least in some energy range.On the theoretical side, band structure calculations have shown a quasi-1D character of molybdenum purple bronze. A remarkably simple band structure emerges from rather complex crystal structure. At the Fermi surface there are only two bands, lying very close to each other, in the form of flat sheets dispersing well only along the b-axis. This gives a hope that purple bronze can indeed be a rare realization of the 1D physics.The key problem is that several possible mechanisms has been invoked to explain the observed properties, which made the subject quite unclear and controversial. In our opinion the reason for this situation is that each of previous attempts was focused only on one out of many peculiar properties of Li 0.9 M o 6 O 17 and most of them searched for an explanation in the low energy regime (below 5meV ), where indeed the properties of Li 0.9 M o 6 O 17 are the most spectacular. By now, not enough attention has been paid even to the parameters of the 1D state. It is only agreed that it emerges at energies as hi...

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Section: Vin: Interaction Inside a Chainmentioning

confidence: 98%

Luttinger-liquid theory of purple bronze Li0.9Mo6O17in the charge regime

2012

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“…Within the randomphase approximation (RPA) 37 in the 2DEG, this integration is done expanding S int to second order. After reexponentiation of the result, which amounts to the usual cumulant expansion, the following expression results: 27,28 …”

Section: -2mentioning

confidence: 99%

“…(10) due to the screening provided by the 2DEG, yielding lim k→0 v eff (k,0) = 2e 2 ln (2d/a) / r . 27 We now introduce a more convenient representation of the superfluid density in the 1DJJA. To motivate our approach, we first note that in the absence of Josephson coupling [i.e., E J = 0 in Eq.…”

Section: -2mentioning

confidence: 99%

“…27 Note that the term ∼ η φ |ω m | |k| has scaling dimension 2 and consequently the critical properties of the system are not modified, i.e., this term alone cannot drive a phase transition. For a metallic plane with R ∼ 0.1R Q (cf.…”

Section: -2mentioning

confidence: 99%

“…It was argued later by Wagenblast et al 26 that the incomplete screening of the Coulomb interaction provided by the 2DEG renormalized the charging energy E C of the Josephson junction to higher values, driving a SIT whenever E J /E C ∼ 1. While this scenario is reasonable in a 2D geometry, in a 1DJJA capacitively coupled to a 2DEG, the relatively higher dimensionality of the 2DEG results in a very efficient screening of the Coulomb interaction, 27 leading to the naive conclusion that the dissipation-controlled SIT should be hard to observe.…”

Section: Introductionmentioning

confidence: 99%

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Superconductor-to-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films

Lobos¹,

Giamarchi²

2011

Phys. Rev. B

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We study the low-temperature properties of linear Josephson-junction arrays capacitively coupled to a proximate two-dimensional diffusive metal. Using bosonization techniques, we derive an effective model for the array and obtain its critical properties and phases at T = 0 using a renormalization-group analysis and a variational approach. While static screening effects given by the presence of the metal can be absorbed in a renormalization of the parameters of the array, backscattering originated in the dynamically screened Coulomb interaction produces a nontrivial stabilization of the insulating ground state and can drive a superconductor-to-insulator transition. We study the consequences for the transport properties in the low-temperature regime. In particular, we calculate the resistivity as a function of the temperature and the parameters of the array, and obtain clear signatures of a superconductor-to-insulator transition that could be observed in experiments.

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Longitudinal and transverse frictional drag in graphene/ LaAlO3/SrTiO3 heterostructures

Guo

Lee

et al. 2022

Phys. Rev. B

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Dissipative phase fluctuations in superconducting wires capacitively coupled to diffusive metals

Cited by 6 publications

References 66 publications

Luttinger-liquid theory of purple bronze Li0.9Mo6O17in the charge regime

Luttinger-liquid theory of purple bronze Li0.9Mo6O17in the charge regime

Superconductor-to-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films

Longitudinal and transverse frictional drag in graphene/ LaAlO3/SrTiO3 heterostructures

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