# Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions

@article{Yoshii2014FuldeFerrellLarkinOvchinnikovSI, title={Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions}, author={Ryosuke Yoshii and Satoshi Takada and Shunji Tsuchiya and Giacomo Marmorini and Hisao Hayakawa and Muneto Nitta}, journal={Physical Review B}, year={2014}, volume={92}, pages={224512} }

We find the angular Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states (or the twisted kink crystals) in which a phase and an amplitude of a pair potential modulate simultaneously in a quasi-one-dimensional superconducting ring with a static Zeeman magnetic field applied on the ring and static Aharonov-Bohm magnetic flux penetrating the ring. The superconducting ring with magnetic flux produces a persistent current, whereas the Zeeman split of Fermi energy results in the spatial modulation of the…

## 16 Citations

### Spatially Modulated Vacua in Relativistic Field Theories

- Physics
- 2017

Spatial modulation has been studied for a long time in condensed matter, nuclear matter and quark matter, so far in non-relativistic field theories. In this paper, spatially modulated vacua at zero…

### Spatially modulated vacua in a Lorentz-invariant scalar field theory

- PhysicsThe European Physical Journal C
- 2018

Spatial modulation has been studied for a long time in condensed matter, nuclear matter and quark matter, where the manifest Lorentz invariance is lost due to the finite density/temperature effects…

### Spatially modulated vacua in a Lorentz-invariant scalar field theory

- PhysicsThe European Physical Journal C
- 2018

Spatial modulation has been studied for a long time in condensed matter, nuclear matter and quark matter, where the manifest Lorentz invariance is lost due to the finite density/temperature effects…

### Kink crystalline condensate and multi-kink solution in holographic superconductor

- PhysicsJournal of High Energy Physics
- 2020

The theory of superconductivity can be divided into two groups depending on whether it has multi-kink solutions. For example, the BCS theory and the Gross-Neveu model have metastable multi-kink…

### Self-consistent large-N analytical solutions of inhomogeneous condensates in quantum ℂPN − 1 model

- Physics
- 2017

A bstractWe give, for the first time, self-consistent large-N analytical solutions of inhomogeneous condensates in the quantum ℂPN − 1 model in the large-N limit. We find a map from a set of gap…

### Confining solitons in the Higgs phase of ℂPN −1 model: self-consistent exact solutions in large-N limit

- PhysicsJournal of High Energy Physics
- 2018

A bstractThe quantum ℂPN −1 model is in the confining (or unbroken) phase with a full mass gap in an infinite space, while it is in the Higgs (broken or deconfinement) phase accompanied with…

### Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems

- BiologySymmetry
- 2019

The various methods developed in the Nambu-Jona Lasinio model reveal the inhomogeneous phase structures and also yield new inhomogeneity solutions in the nonlinear sigma model owing to the duality.

### The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking

- Physics
- 2014

Pure quantum phenomena are characterized by intrinsic recurrences in space and time. We use this intrinsic periodicity as a quantization condition to derive a heuristic description of the essential…

### Temporally, spatially, or lightlike modulated vacua in Lorentz invariant theories

- PhysicsPhysical Review D
- 2019

We study the vacuum structure of a class of Lorentz invariant field theories where the vacuum expectation values are not constant but are (phase) modulated. The vacua are classified into spatial,…

### Space-time quasicrystal structures and inflationary and late time evolution dynamics in accelerating cosmology

- PhysicsClassical and Quantum Gravity
- 2018

We construct new classes of cosmological solutions in modified and Einstein gravity theories encoding space-time quasicrystal, STQC, configurations modeled by nonlinear self-organized and pattern…