Quantum Fluctuations and Multifractally-Enhanced Superconductivity in Disordered Thin Films
arXiv:2312.08693 · doi:10.1007/s10909-024-03105-1
Abstract
The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum fluctuations within such multifractally-enhanced superconducting states in thin films. In conditions of weak disorder, we employ the Finkel'stein nonlinear sigma model to derive an effective action for the superconducting order parameter and the quasiclassical Green's function, meticulously accounting for the influence of quantum fluctuations. This effective action, applicable for interactions of any strength, reveals the critical role of well-known collective modes in a dirty superconductor, and its saddle point analysis leads to modified Usadel and gap equations. These equations comprehensively incorporate the renormalizations stemming from the interplay between interactions and disorder, resulting in the non-trivial energy dependence of the gap function. Notably, our analysis establishes a direct relation between the self-consistent gap equation at the superconducting transition temperature and the known renormalization group equations for interaction parameters in the normal state.
arXiv commentThe manuscript is prepared for the Alexander Andreev Memorial Collection, to be published in the Journal of Low Temperature Physics
References in corpus (33)
- Localization of preformed Cooper-pairs in disordered superconductors
- Disorder-Induced Inhomogeneities of the Superconducting State Close to the Superconductor-Insulator Transition
- Eigenfunction fractality and pseudogap state near superconductor-insulator transition
- Higgs Mode in Superconductors
- Fractal superconductivity near localization threshold
- Phase fluctuations in a strongly disordered s-wave superconductor close to the metal-insulator transition
- Pseudogap in a thin film of a conventional superconductor
- Collective mode of homogeneous superfluid Fermi gases in the BEC-BCS crossover
- Quantum breakdown of superconductivity in low-dimensional materials
- Enhancement of superconductivity by Anderson localization
- Disorder induced multifractal superconductivity in monolayer niobium dichalcogenides
- Interaction corrections at intermediate temperatures: dephasing time
- Collective modes and terahertz near-field response of superconductors
- Enhancing Superconductivity by Disorder
- Optical excitation of phase modes in strongly disordered superconductors
- Superconductor-insulator transitions: Phase diagram and magnetoresistance
- Global critical temperature in inhomogeneous superconductors induced by multifractality
- Pair-Breaking Collective Branch in BCS Superconductors and Superfluid Fermi Gases
- Analog of Anderson theorem for the polar phase of liquid 3He in nematic aerogel
- Enhanced, phase coherent, multifractal-like, two-dimensional superconductivity
- Multifractally-enhanced superconductivity in thin films
- Short-distance breakdown of the Higgs mechanism and the robustness of the BCS theory for charged superconductors
- Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting films
- Following the Higgs mode across the BCS-BEC crossover in two dimensions
- Topological nodal line in superfluid He and the Anderson theorem
- Detection of collective modes in unconventional superconductors using tunneling spectroscopy
- Multifractally-enhanced superconductivity in two-dimensional systems with spin-orbit coupling
- Electron-electron relaxation in two-dimensional impure superconductors
- Disordered electron liquid in double quantum well heterostructures: Renormalization group analysis and dephasing rate
- Local density of state fluctuations in 2D superconductor as a probe of quantum diffusion
- Ultrasonic attenuation in a pseudogapped superconductor
- Gaussian fluctuation corrections to a mean-field theory of complex hidden order in URuSi
- The effect of superconducting fluctuations on the ac conductivity of a 2D electron system in the diffusive regime