Sine-Gordon description of Beresinskii-Kosterlitz-Thouless physics at finite magnetic field

Abstract

The Beresinskii-Kosterlitz-Thouless (BKT) physics of vortices in two-dimensional superconductors at finite magnetic field is investigated by means of a field-theoretical approach based on the sine-Gordon model. This description leads to a straightforward definition of the field-induced magnetization and shows that the persistence of non-linear effects at low fields above the transition is a typical signature of the fast divergence of the correlation length within the BKT theory.

arXiv comment4 pages, 2 figures, to appear on Physical Review Letters

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• Functional renormalization group approach to the sine-Gordon model
• Doping dependence of the vortex-core energy in bilayer films of cuprates
• Size effects in the nonlinear resistance and flux creep in a virtual Berezinskii-Kosterlitz-Thouless state of superconducting films
• High energy density in multi-soliton collisions
• Study of models of the sine-Gordon type in flat and curved spacetime
• Two-dimensional melting via sine-Gordon duality
• New family of sine-Gordon models
• On the renormalization of the bosonized multi-flavor Schwinger model
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Massless fermions in multi-flavor QED_2
• Interplay of fixed points in scalar models
• Degeneracy induced scaling of the correlation length for periodic models
• Asymptotic safety in the sine-Gordon model
• Signatures of thermally excited vortices in a superconductor with competing orders
• The Role of the Core Energy in the Vortex Nernst Effect
• Helicity modulus in the bilayer XY model by worm algorithm
• Vortex Operator and BKT Transition in Abelian Duality
• Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics