Engineering topics
Chubukov, Andrey
Publications and source records attributed to Chubukov, Andrey.
Superconductivity of incoherent electrons in the Yukawa Sachdev-Ye-Kitaev model
We study a model of N fermions in a quantum dot, coupled to M bosons by a disorder-induced complex Yukawa coupling [Yukawa Sachdev-Ye-Kitaev (SYK) model], in order to explore the interplay between non-Fermi liquid and superconductivity in a strongly coupled, (quantum-)critical environment. We analyze the phase diagram of the model for an arbitrary complex interaction and arbitrary ratio of N/M, with special focus on the two regimes of non-Fermi-liquid behavior: an SYK-like behavior with a power-law frequency dependence of the fermionic self-energy and an impuritylike behavior with frequency independent self-energy. We show that the crossover between the two can be reached by varying either the strength of the fermion-boson coupling or the ratio M/N. We next argue that in both regimes the system is unstable to superconductivity if the strength of time-reversal-symmetry-breaking disorder is below a certain threshold. We show how the corresponding onset temperatures vary between the two regimes. We argue that the superconducting state is highly unconventional with an infinite set of minima of the condensation energy at T = 0, corresponding to topologically different gap functions. We discuss in detail similarities and differences between this model and the model of dispersion-full fermions tuned to a metallic quantum-critical point, with an effective singular dynamical interaction V(Ω) ∝ 1/|Ω| γ (the γ model).
Implicit renormalization approach to the problem of Cooper instability
In the vast majority of cases, superconducting transition takes place at exponentially low temperature T c out of the Fermi liquid regime. We discuss the problem of determining T c from known system properties at temperatures T >> T c , and stress that this cannot be done reliably by following the standard protocol of solving for the largest eigenvalue of the original gap-function equation. However, within the implicit renormalization approach, the gap-function equation can be used to formulate an alternative eigenvalue problem, where solving leads to an accurate prediction for both T c and the gap function immediately below T c . Furthermore, with diagrammatic Monte Carlo techniques, this eigenvalue problem can be solved without invoking the matrix inversion or even explicitly calculating the four-point vertex function.
Dynamic properties of superconductors: Anderson-Bogoliubov mode and Berry phase in the BCS and BEC regimes
We analyze the evolution of the dynamics of a neutral s-wave superconductor between BCS and BEC regimes. We consider 2d case, when BCS-BEC crossover occurs already at weak coupling as a function of the ratio of the two scales – the Fermi energy E F and the bound state energy for two fermions in a vacuum, E 0 . BCS and BEC limits correspond to E F » E 0 and E F « E 0 , respectively. The chemical potential μ = E F - E 0 changes the sign between the two regimes. We use the effective action approach, derive the leading terms in the expansion of the effective action in the spatial and time derivative of the slowly varying superconducting order parameter Δ(r, τ), and express the action in terms of derivative of the phase Φ(r, τ) of Δ(r, τ) = Δe iΦ(r,τ) . The action contains (∇Φ) 2 and $\dot{Φ}$ 2 terms, which determine the dispersion of collective phase fluctuations, and iπA$\dot{Φ}$ term. For continuous Φ(r, τ), the latter reduces to the contribution from the boundary and does not affect the dynamics. We show that this longwavelength action does not change through BCS-BEC crossover. We apply our approach to a moving vortex, for which Φ is singular at the center of the vortex core, and iπA vort $\dot{Φ}$ term affects vortex dynamics. We find that this term has two contributions. One comes from the states away from the vortex core and has Avort,1 = n/2, where n is the fermion density. The other comes from electronic states inside the vortex core and has A vort,2 = -n 0 /2, where n 0 is the fermion density at the vortex core. This last term comes from the continuous part of the electronic spectrum and has no contribution from discrete levels inside the core; it also does not change if we add impurities. We interpret this term as the contribution to vortex dynamics in the continuum limit, when the spacing between energy levels ω is set to zero, while fermionic lifetime τ can be arbitrary. The total Avort = (n-n 0 )/2 determines the transversal force acting on the vortex core, πA vort $\dot{R}$ × $\hat{z}$, where $\dot{R}$ is the velocity of the vortex core and $\hat{z}$ a unit vector perpendicular to the 2d sample. The difference (n - n 0 )/2 changes through the BEC-BCS crossover as n 0 nearly compensates n in the BCS regime, but vanishes in the BEC regime.
Pairing Mechanism in Hund’s Metal Superconductors and the Universality of the Superconducting Gap to Critical Temperature Ratio
Here, we analyze a simple model containing the physical ingredients of a Hund’s metal, the local spin fluctuations with power-law correlators, (Ω 0 /|Ω|) γ , with γ greater than one, interacting with electronic quasiparticles. While the critical temperature and the gap change significantly with varying parameters, the 2Δ max /k B T c remains close to twice the BCS value in agreement with experimental observations in the iron-based superconductors (FeSC).
2017 Gordon Conference on Superconductivity
The DOE award was for a 2017 Gordon Research conference on Superconductivity (GRC). The objective of GRC is to interchange the information about the latest theoretical and experimental developments in the area of superconductivity and to select most perspective directions for future research in this area.The goal of the Gordon Conference on Superconductivity is to present and discuss the latest results in the field of modern superconductivity, discuss new ideas and new directions of research in the area. It is a long-standing tradition of the Gordon conference on Superconductivity that the vast majority of participants are junior scientists. Funding for the conference would primarily be used to support junior researchers, particularly from under-represented groups. We had more 10 female speakers, some of them junior researchers, and some funding was used to support these speakers. The conference was held together with Gordon Research Seminar on Superconductivity, where almost all speakers and participants were junior scientists.
Distinguishing between s + i d and s + i s pairing symmetries in multiband superconductors through spontaneous magnetization pattern induced by a defect
The symmetry of the pairing state in iron pnictide superconductor Ba 1-x K x Fe 2 As 2 is still controversial. At optimal doping (x ≈ 0.4), it is very likely s wave, but for x = 1 there are experimental and theoretical arguments for both s wave and d wave. Depending on the choice for x = 1 , intermediate s + i s and s + i d states have been proposed for intermediate doping 0.4 < x < 1 . In both states, the time-reversal symmetry is broken and a spontaneous magnetization is allowed. Here in this work we study a spontaneous magnetization induced by a nonmagnetic defect in the s + i s and s + i d states by using a perturbation theory and numerical calculations for the Ginzburg-Landau free energy functional. We show that the angular dependence of the magnetization is distinct in these two states due to the difference in symmetry properties of the order parameters. Our results indicate a possible way to distinguish between the s + i s and s + i d pairing symmetries in multiband superconductors.
Coexistence of Charge-Density-Wave and Pair-Density-Wave Orders in Underdoped Cuprates
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Superconducting and charge-density-wave orders in the spin-fermion model: A comparative analysis
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Interplay between pair- and charge-density-wave orders in underdoped cuprates
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Magnetism in Parent Iron Chalcogenides: Quantum Fluctuations Select Plaquette Order
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Focus on superconductivity in Fe-based systems
The past four years of incredibly intense research into Fe-based superconductors have brought about many unexpected surprises. Our understanding of their behavior and physical properties is constantly evolving. Unlike any other superconductors, those containing iron span diverse groups of materials: pnictides, chalcogenides, intermetallics and oxides. Some major properties of the materials are quite similar, yet each group has its own distinct features. Significant effort has been put into identifying new superconducting compositions, modifying the existing ones with new dopants and treatments, and producing single crystals, thin films, wires and polycrystalline bulk material. A wide array of experimental techniques was applied to study Fe-based superconductors and the result is a tremendous amount of data collected over a period of less than four years. Theoretical debates are still lively, and there is an ongoing search for possible universalities and commonalities with other unconventional superconductors, like high-Tc cuprates or heavy fermion materials. The three-dimensional electronic structures of Fe-based superconductors, as well as their extreme sensitivity to disorder, present serious challenges for both theoretical analysis and the interpretation of experiments. However, some key properties emerge from multiple studies. Unconventional, multiband superconductivity originating from an electronic mechanism has found both experimental and theoretical support. There has been great progress in the understanding of various anisotropies of superconducting gap structures, including the possibility of gap nodes even if the gap symmetry is s-wave. Similar to high-Tc cuprates, the superconducting phase has a dome-like shape on T-doping or T-pressure phase diagrams. The anisotropy of the superconducting gap evolves with doping and is likely to become stronger at the dome';s edge. In many Fe-based superconductors there is a range where superconductivity coexists and competes with long-range magnetic order, and magnetic fluctuations are considered by some to be of the utmost importance for the pairing mechanism. Others argue that orbital fluctuations, possibly in combination with phonons, are crucial for the pairing. Fe-based superconductors show extremely large upper critical fields and relatively low electronic anisotropy, which are crucial aspects for power applications. The expectations are high, though it remains unclear what maximal current densities can be supported by a properly designed bulk material with optimal pinning centers. This focus issue of Superconductor Science and Technology is a snapshot of some of the recent progress in materials preparation, experiments and theory. It includes articles on the search for new Fe-based superconductors and on the search for superconductivity at extreme conditions. Particular attention is devoted to: the effects of chemical substitutions; the development of thin films; the introduction of artificial defects to increase critical current density; and a general analysis of vortex physics. The articles on fundamental aspects of superconductivity include: the discussion of various experimental problems; an in-depth analysis of the nodal and nodeless pairing states; the discussion of the pairing mechanism; and the effects of pair-breaking due to disorder. Also discussed are nematic correlations and the coexistence of magnetism and superconductivity. The papers collected in this issue present a detailed review of the accomplishments of the last four years of research into Fe-based superconductors, up to and including last-minute developments. We hope that this combination will make this special section of Superconductor Science and Technology both interesting and useful to a broad spectrum of physicists and materials scientists.