Vortex quasi-crystals in mesoscopic superconducting samples

doi:10.1088/1674-1056/25/8/087401

Abstract

There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superfluids and superconductors. Crystals, liquids, and glasses have been experimentally observed in both AMOM and VM. Here, we propose a vortex quasi-crystal state which can be stabilized due to boundary and surface energy effects for samples of special shapes and sizes. For finite sized pentagonal samples, it is proposed that a phase transition between a vortex crystal and a vortex quasi-crystal occurs as a function of magnetic field and temperature as the sample size is reduced.

Keywords: vortex matter quasi-crystal mesoscopic superconductor

Received: 26 February 2016
Revised: 23 April 2016
Accepted manuscript online:

PACS:	74.25.Uv	(Vortex phases (includes vortex lattices, vortex liquids, and vortex glasses))
	74.25.Op	(Mixed states, critical fields, and surface sheaths)
	74.78.Na	(Mesoscopic and nanoscale systems)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11274009, 11434011, and 111522436), the National Key Basic Research Program of China (Grant No. 2013CB922000), the Research Funds of Renmin University of China (Grant Nos. 10XNL016 and 16XNLQ03), and the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices (Grant No. KF201404).

Corresponding Authors: Wei Zhang
E-mail: wzhangl@ruc.edu.cn

Cite this article:

Jing-Kun Wang(王璟琨), Wei Zhang(张威), Sá de Melo C A R Vortex quasi-crystals in mesoscopic superconducting samples 2016 Chin. Phys. B 25 087401

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