Inhomogeneous Superconducting States of Mesoscopic Thin-Walled Cylinders in External Magnetic Fields

Abstract

We theoretically investigate the appearance of spatially modulated superconducting states in mesoscopic superconducting thin-wall cylinders in a magnetic field at low temperatures. Quantization of the electron motion around the circumference of the cylinder leads to a discontinuous evolution of the spatial modulation of the superconducting order parameter along the transition line T_c(H). We show that this discontinuity leads to the non-monotonic behavior of the specific heat jump at the onset of superconductivity as a function of temperature and field. We argue that this geometry provides an excellent opportunity to directly and unambiguously detect distinctive signatures of the Fulde-Ferrell-Larkin-Ovchinnikov modulation of the superconducting order.

7 pages, 4 figures, main text plus supplemental information

References in corpus (9)

• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Anomalous In-Plane Anisotropy of the Onset of Superconductivity in (TMTSF)2ClO4
• Evolution of Paramagnetic Quasiparticle Excitations Emerged in the High-Field Superconducting Phase of CeCoIn5
• Upper critical field study in the organic superconductor ${\beta }^{\prime \prime }$-(ET)${}_2$SF${}_5$CH${}_2$CF${}_2$SO${}_3$ : Possibility of Fulde-Ferrell-Larkin-Ovchinnikov state
• Emergence of $h/e$-period oscillations in the critical temperature of small superconducting rings threaded by magnetic flux
• Pauli-limited upper critical field in dirty d-wave superconductors

Cited by in corpus (7)

• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Fulde-Ferrell-Larkin-Ovchinnikov state of two-dimensional imbalanced Fermi gases
• Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions
• Multiple phase transitions in Pauli limited iron-based superconductors
• Kink Crystalline Condensate and Multi-kink Solution in Holographic Superconductor
• Little-Parks oscillation and $\mathbf{d}$-vector texture in spin-triplet superconducting rings with bias current
• dc and ac magnetic properties of thin-walled Nb cylinders with and without a row of antidots