Devil's staircases and continued fractions in Josephson junctions

被引：25

作者：

Shukrinov, Yu. M. ^{[1
]}

Medvedeva, S. Yu. ^{[1
,2
]}

Botha, A. E. ^{[3
]}

Kolahchi, M. R. ^{[4
]}

Irie, A. ^{[5
]}

机构：

[1] Dubna Joint Nucl Res Inst, BLTP, Dubna 141980, Moscow Region, Russia

[2] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia

[3] Univ S Africa, Dept Phys, ZA-0003 Pretoria, South Africa

[4] Inst Adv Studies Basic Sci, Zanjan, Iran

[5] Utsunomiya Univ, Dept Elect & Elect Syst Engn, Utsunomiya, Tochigi 3218585, Japan

来源：

PHYSICAL REVIEW B | 2013年 / 88卷 / 21期

关键词：

SUBHARMONIC SHAPIRO STEPS; MODE-LOCKING; BEHAVIOR; UNIVERSALITY; DIMENSION; PHASE;

D O I：

10.1103/PhysRevB.88.214515

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Detailed numerical simulations of the IV characteristics of a Josephson junction under external electromagnetic radiation show the devil's staircase within different bias current intervals. We have found that the observed steps form very precisely continued fractions. Increase of the amplitude of the radiation shifts the devil's staircase to higher Shapiro steps. An algorithm for the appearance and detection of subharmonics with increasing radiation amplitude is proposed. We demonstrate that the subharmonic steps registered in the well-known experiments by Dayem andWiegand [Phys. Rev. 155, 419 (1967)] and Clarke [Phys. Rev. B 4, 2963 (1971)] also form continued fractions.

引用

页数：6

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