On the theory of nonhomogeneous nonequilibrium superconductivity in 2D systems with massless fermions
Abstract
Here we analyze static and nonequilibrium superconducting properties of a 2D relativistic-like model system with local electron-electron interaction, Rashba spin-orbit interaction αR in presence of time-dependent in-plane magnetic field H(t). It is shown that similar to the 2D case with ordinary massive quasiparticle dispersion ε(k)~|k|2 at large fields, such a system demonstrates a nonhomogeneous superconducting stripe phase with the order parameter Δ(r)=Δ(0)cos(2[μBB×r]n/$$\hbarυ_F$$) (B is the magnetic induction, υF is the Fermi velocity, n is the normal to the plane, μB is the Bohr magneton, and αR$$\ll$$υF) where the stripes are oriented along the B direction. In the considered system, the inter-stripe period L and the magnitude of the magnetic field B are related by a universal relation BL=$$\hbarυ_F$$/μB≃0.714∙10-4 Tm. Contrary to the case of massive quasiparticles, where the condition αR~υF can be, in principle, satisfied by increasing αR or by charge doping (Fermi velocity decreasing), in a relativistic-like system, where υF is doping-independent and one-two orders of magnitude larger than typical Fermi velocity in the “standard” 2D systems, the stripe phase can be the ground state at a rather low doping level. We also analyzed the nonequilibrium properties of the system with a focus on the melting of the stripe order (when the magnetic field is quenched to a lower value) and stripe dynamics (when the field is rotated by 90° degrees) and found several notable results. In particular, it was shown that the stripe domains melt according to law R~1$$\sqrt{t}$$ at initial times, while at longer times they shrink exponentially. In the case of the flipped magnetic field, the stripe orientation gradually turns from x- to y-direction, and the intermediate “crossed-stripe” phase takes place during times of order of picoseconds. Such a crossed phase is built of periodic superconducting bubbles that potentially may have applications in modern ultrafast superconducting technologies.
- Authors:
-
- National Academy of Science of Ukraine, Kiev (Ukraine); National Technical University of Ukraine, Kiev (Ukraine)
- University of Central Florida, Orlando, FL (United States)
- Publication Date:
- Research Org.:
- Univ. of Central Florida, Orlando, FL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Academy of Sciences of Ukraine; Ministry of Education and Science of Ukraine (MESU); Ministry of Science and Technology of the State of Israel (MOST)
- OSTI Identifier:
- 1978935
- Grant/Contract Number:
- FG02-07ER46354; 0117U000236; 0117U000240
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Low Temperature Physics
- Additional Journal Information:
- Journal Volume: 48; Journal Issue: 5; Journal ID: ISSN 1063-777X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; superconductivity; superconductors; quasiparticle; electromagnetic induction; fundamental constants; spin-orbit interactions; graphene; quantum computing; bubble domains; Fermi-Dirac statistics
Citation Formats
Loktev, V. M., and Turkowski, V. On the theory of nonhomogeneous nonequilibrium superconductivity in 2D systems with massless fermions. United States: N. p., 2022.
Web. doi:10.1063/10.0010200.
Loktev, V. M., & Turkowski, V. On the theory of nonhomogeneous nonequilibrium superconductivity in 2D systems with massless fermions. United States. https://doi.org/10.1063/10.0010200
Loktev, V. M., and Turkowski, V. Sun .
"On the theory of nonhomogeneous nonequilibrium superconductivity in 2D systems with massless fermions". United States. https://doi.org/10.1063/10.0010200. https://www.osti.gov/servlets/purl/1978935.
@article{osti_1978935,
title = {On the theory of nonhomogeneous nonequilibrium superconductivity in 2D systems with massless fermions},
author = {Loktev, V. M. and Turkowski, V.},
abstractNote = {Here we analyze static and nonequilibrium superconducting properties of a 2D relativistic-like model system with local electron-electron interaction, Rashba spin-orbit interaction αR in presence of time-dependent in-plane magnetic field H(t). It is shown that similar to the 2D case with ordinary massive quasiparticle dispersion ε(k)~|k|2 at large fields, such a system demonstrates a nonhomogeneous superconducting stripe phase with the order parameter Δ(r)=Δ(0)cos(2[μBB×r]n/$\hbarυ_F$) (B is the magnetic induction, υF is the Fermi velocity, n is the normal to the plane, μB is the Bohr magneton, and αR$\ll$υF) where the stripes are oriented along the B direction. In the considered system, the inter-stripe period L and the magnitude of the magnetic field B are related by a universal relation BL=$\hbarυ_F$/μB≃0.714∙10-4 Tm. Contrary to the case of massive quasiparticles, where the condition αR~υF can be, in principle, satisfied by increasing αR or by charge doping (Fermi velocity decreasing), in a relativistic-like system, where υF is doping-independent and one-two orders of magnitude larger than typical Fermi velocity in the “standard” 2D systems, the stripe phase can be the ground state at a rather low doping level. We also analyzed the nonequilibrium properties of the system with a focus on the melting of the stripe order (when the magnetic field is quenched to a lower value) and stripe dynamics (when the field is rotated by 90° degrees) and found several notable results. In particular, it was shown that the stripe domains melt according to law R~1$\sqrt{t}$ at initial times, while at longer times they shrink exponentially. In the case of the flipped magnetic field, the stripe orientation gradually turns from x- to y-direction, and the intermediate “crossed-stripe” phase takes place during times of order of picoseconds. Such a crossed phase is built of periodic superconducting bubbles that potentially may have applications in modern ultrafast superconducting technologies.},
doi = {10.1063/10.0010200},
journal = {Low Temperature Physics},
number = 5,
volume = 48,
place = {United States},
year = {Sun May 01 00:00:00 EDT 2022},
month = {Sun May 01 00:00:00 EDT 2022}
}
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