Forward Electron–Phonon Scattering in Normal and Superconducting States

Dolgov, O. V.; Danylenko, O. V.; Kulić, Miodrag L.; Oudovenko, V. S.

doi:10.1142/s021797929800209x

Cited by 8 publications

(5 citation statements)

References 3 publications

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“…The parameter ξ is a correlation length which we assume to be much larger than the lattice constant a. (This assumption is motivated by the fact that impurity scattering in real d-wave superconductors seems to be predominantly forward [23][24][25]. To reproduce that feature, we have to take V imp and ∆ imp to be slowly varying.)…”

Section: A the Hamiltonianmentioning

confidence: 99%

“…Since the OPEs involving the currents match, too, we expect that the two theories are equivalent. The bosonization rules are the same as in (24) but for factors of two:…”

Section: Functional Integral Solutionmentioning

confidence: 99%

“…It will turn out that much of the controversy in the field-theoretical literature described above can be attributed to the sensitivity of the d-wave quasiparticle physics to the range of the scattering potential. In a number of recent publications [23][24][25], it has been argued that both experimental and theoretical evidence hints at a strong enhancement of forward scattering in d-wave superconductors. Without going into details, we here merely state the essence of the argument, viz.…”

mentioning

confidence: 99%

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Theories of low-energy quasi-particle states in disordered d-wave superconductors

Altland¹,

Simons²,

Zirnbauer³

2002

Physics Reports

149

226

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The physics of low-energy quasi-particle excitations in disordered d-wave superconductors is a subject of ongoing intensive research. Over the last decade, a variety of conceptually and methodologically different approaches to the problem have been developed. Unfortunately, many of these theories contradict each other, and the current literature displays a lack of consensus on even the most basic physical observables. Adopting a symmetry-oriented approach, the present paper attempts to identify the origin of the disagreement between various previous approaches, and to develop a coherent theoretical description of the different low-energy regimes realized in weakly disordered d-wave superconductors. We show that, depending on the presence or absence of time-reversal invariance and the microscopic nature of the impurities, the system falls into one of four different symmetry classes. By employing a field-theoretical formalism, we derive effective descriptions of these universal regimes as descendants of a common parent field theory of Wess-Zumino-Novikov-Witten type. As well as describing the properties of each universal regime, we analyse a number of physically relevant crossover scenarios, and discuss reasons for the disagreement between previous results. We also touch upon other aspects of the phenomenology of the d-wave superconductor such as quasi-particle localization properties, the spin quantum Hall effect, and the quasi-particle physics of the disordered vortex lattice. 74.25.Fy, 71.23.An, 72.15.Rn

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Section: A the Hamiltonianmentioning

confidence: 99%

“…Since the OPEs involving the currents match, too, we expect that the two theories are equivalent. The bosonization rules are the same as in (24) but for factors of two:…”

Section: Functional Integral Solutionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Theories of low-energy quasi-particle states in disordered d-wave superconductors

Altland¹,

Simons²,

Zirnbauer³

2002

Physics Reports

149

226

View full text Add to dashboard Cite

show abstract

“…For short-range scattering the two effects cancel [2], producing a disorder independent microwave conductivity σ 0 (e 2 /h)k F ξ 0 per layer in the low-temperature, low-frequency limit (with ξ 0 the coherence length and k F the Fermi wave vector). For long-range scattering the first of the two effects wins [3,4], which explains the conductivity enhancement measured in the high-T c cuprates [5,6] (where long-range scattering dominates [7]). …”

Section: Introductionmentioning

confidence: 84%

Effects of disorder on the transmission of nodal fermions through ad-wave superconductor

et al. 2011

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The bulk microwave conductivity of a dirty d -wave superconductor is known to depend sensitively on the range of the disorder potential: long-range scattering enhances the conductivity, while shortrange scattering has no effect. Here we show that the three-terminal electrical conductance of a normal-metal-d -wave superconductor-normal-metal junction has a dual behavior: short-range scattering suppresses the conductance, while long-range scattering has no effect.

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“…Nevertheless, there is a necessity to go beyond the Migdal-Eliashberg theory and to build a theory of superconductivity for nonadiabatic systems in which Fermi energy and Debye energy are comparable as well as to account for the presence in the system of strong electron correlations. There are a large number of papers considering this (see for example, [10][11][12][13][14][15][16][17][18][19][20][21]). In such systems we have to take into consideration vertex and 'intersecting' diagrams over electron-phonon interactions in mass operators of Green functions which in essence correspond to the account of additional multiparticle effects.…”

Section: Introductionmentioning

confidence: 99%

Properties of nonadiabatic superconducting systems with paramagnetic impurity

Palistrant

Kochorbe

2003

J. Phys.: Condens. Matter

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We present the basic system of equations for a theory of superconductivity for systems with chaotically distributed paramagnetic impurities of substitution in which the Migdal theorem is violated (it cannot be supposed ω0 ≪ EF ). We take into account electron–phonon and impurity diagrams as well as supplementary ones corresponding to the intersection of electron–phonon and electron–impurity lines. Decrease of the quantity TC with increase of impurity concentration is shown to weaken in comparison with the case of the usual superconductors. The degree of this decrease is determined by quantities m and qc. The coefficient of the isotope effect α, energy gap and order parameter at T = 0 are also calculated. The behaviour of these quantities as a function of impurity concentration depends on the Migdal parameter m = ω0 /EF and transferred momentum qc.

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Forward Electron–Phonon Scattering in Normal and Superconducting States

Cited by 8 publications

References 3 publications

Theories of low-energy quasi-particle states in disordered d-wave superconductors

Theories of low-energy quasi-particle states in disordered d-wave superconductors

Effects of disorder on the transmission of nodal fermions through ad-wave superconductor

Properties of nonadiabatic superconducting systems with paramagnetic impurity

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