Jan’s Publications

@article{WOS:000298807900005,

title = {Electrodynamics of Abrikosov vortices: the field theoretical formulation},

author = {Aron J. Beekman and Jan Zaanen},

doi = {10.1007/s11467-011-0205-0},

issn = {2095-0462},

year  = {2011},

date = {2011-12-01},

journal = {FRONTIERS OF PHYSICS},

volume = {6},

number = {4},

pages = {357-369},

publisher = {HIGHER EDUCATION PRESS},

address = {SHATANHOU ST 55, BEIJING 100009, PEOPLES R CHINA},

abstract = {Electrodynamic phenomena related to vortices in superconductors have 

 been studied since their prediction by Abrikosov, and seem to hold no 

 fundamental mysteries. However, most of the effects are treated 

 separately, with no guiding principles.We demonstrate that the 

 relativistic vortex worldsheet in spacetime is the object that naturally 

 conveys all electric and magnetic information, for which we obtain 

 simple and concise equations. Breaking Lorentz invariance leads to 

 down-to-earth Abrikosov vortices, and special limits of these equations 

 include for instance dynamic Meissner screening and the AC Josephson 

 relation. On a deeper level, we explore the electrodynamics of two-form 

 sources in the absence of electric monopoles, in which the 

 electromagnetic field strength itself acquires the characteristics of a 

 gauge field. This novel framework leaves room for unexpected surprises.},

keywords = {Abrikosov vortex; electromagnetism; Maxwell equations; differential   geometry; multi-valued fields},

pubstate = {published},

tppubtype = {article}

}