Nonequilibrium Electrons and Phonons in Superconductors

Gulian, Armen; Zharkov, G. F.

doi:10.1007/b115037

Cited by 17 publications

(18 citation statements)

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“…In the previous subsection, we reviewed the phenomenology for the nonlinear light-Higgs coupling using the Ginzburg-Landau theory. However, strictly speaking, the application of the Ginzburg-Landau theory to nonequilibrium problems is not microscopically justified in the case of gapped superconductors [70][71][72]. The reason is that in a usual situation one cannot neglect the effect of quasiparticle excitations whose relaxation time is longer than the time scale of the order-parameter variation.…”

Section: B a Microscopic Viewmentioning

confidence: 99%

Higgs Mode in Superconductors

Shimano

Tsuji

2020

Annu. Rev. Condens. Matter Phys.

203

164

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When a continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and phase modes of the order-parameter fluctuation.For superconductors, the amplitude mode is recently referred to as the "Higgs mode" as it is a condensed-matter analogue of a Higgs boson in particle physics. Higgs mode is a scalar excitation of the order parameter, distinct from charge or spin fluctuations, and thus does not couple to electromagnetic fields linearly. This is why the Higgs mode in superconductors has evaded experimental observations over a half century after the initial theoretical prediction, except for a charge-density-wave coexisting system. With the advance of nonlinear and time-resolved terahertz spectroscopy techniques, however, it has become possible to study the Higgs mode through the nonlinear light-Higgs coupling. In this review, we overview recent progresses on the study of the Higgs mode in superconductors. :1906.09401v1 [cond-mat.supr-con] arXiv

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Section: B a Microscopic Viewmentioning

confidence: 99%

Higgs Mode in Superconductors

Shimano

Tsuji

2020

Annu. Rev. Condens. Matter Phys.

203

164

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“…Various nonequilibrium effects may accompany this evolution process ͑we mention, for instance, the possibility of electromagnetic and acoustic waves generation. 11 ͔͒ It is evident, that for small radius cylinder (R Ͻ1.69) the superconducting solution terminates by the second-order phase transition, even in type-1 ͑i.e., small ) superconductors. 12 The transformation of the solutions with diminishing radius R is illustrated in Fig.…”

Section: Numerical Resultsmentioning

confidence: 97%

First- and second-order transitions for a superconducting cylinder in a magnetic field obtained from a self-consistent solution of the Ginzburg-Landau equations

Zharkov

2001

Phys. Rev. B

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Based on self-consistent solution of nonlinear GL equations, the phase boundary is found, which divides the regions of first-and second-order phase transitions to normal state of a superconducting cylinder of radius R, placed in magnetic field and remaining in the state of fixed vorticity m. This boundary is a complicated function of the parameters (m,R,) ( is the GL parameter͒, which does not coincide with the simple phase boundary ϭ1/ͱ2, dividing the regions of first-and second-order phase transitions in infinite ͑open͒ superconducting systems.

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“…The proportionality to N(0) is also valid for dimensionless electronphonon coupling constant λ = N(0)g 2 , where g is the Fröhlich interaction constant (see e.g. [7]) which enters the expression for T c in the BCS-like description of superconductivity [8]:…”

Section: Microscopic Origins Of σ -Correlationmentioning

confidence: 98%