Magnus Force in High Temperature Superconductivity and Berry Phase

A microscopic analysis of the non-dissipative force F_nd acting on a line vortex in a type-II superconductor at T=0 is given. All work assumes a charged BCS superconductor. We first examine the Berry phase induced in the BCS ground state by movement of the vortex and show how this phase enters into the hydrodynamic action S_hyd of the condensate. Appropriate variation of S_hyd gives F_nd and variation of the Berry phase term is seen to contribute the Magnus force of classical...

The forces on the vortex, transverse to its velocity, are considered. In addition to the superfluid Magnus force from the condensate (superfluid component), there are transverse forces from thermal quasiparticles and external fields violating the translational invariance. The forces between quasiparticles and the vortex originate from interference of quasiparticles with trajectories on the left and on the right from the vortex like similar forces for electrons interacting wit...

Based on ideas of off-diagonal long range order and two-fluid model, we demonstrate that adiabatic phases for a slow motion of a vortex in a superconductor film give rise naturally to the Magnus force at finite temperatures.

The vortex motion in a superfluid or a type II superconductor is similar to the electron motion in a magnetic field, because they both feel a transverse force. The vortex dynamics in a superconductor is a basic property of the superconductivity which remains controversial. It is also responsible for a large class of observed physical phenomena. We will examine this issue from the experimental point of view. In particular, we will compare the experiments which have set the sta...

Lecture notes published in ''Magnetism goes nano'', Lecture Manuscripts of the 36th Spring School of the Institute of Solid State Research, edited by Stefan Bluegel, Thomas Brueckel, and Claus M. Schneider (Forschungszentrum Juelich, 2005).

The paper analyzes the transverse forces (the Magnus and the Lorentz forces) on vortices in superfluids put into periodic potentials at $T=0$. The case of weak potential and the tight-binding limit described by the Bose-Hubbard model were addressed. The analysis was based on the balance of true momentum and quasimomentum. A special attention was paid to the superfluid close to the superfluid-insulator transition. In this area of the phase diagram the theory predicts the parti...

The topological solitons, or ``skyrmions'', in a planar ferromagnet experience a Magnus force proportional to the product of their velocity and the surrounding magnetization. It has been suggested that the charged quasiparticles near filling factor $\nu=1$ in the $GaAs$ quantum Hall effect are skyrmions. If so we might expect this spin-induced Magnus force to act on the quasiparticles in addition to the Lorentz force they experience because of their charge. We show that this ...

Fil {\it et al.} has proposed an interesting experimental method to investigate vortex dynamics. Some preliminary results have been obtained. In this comment I discuss a few missing but strongly related theoretical models and experiments on Hall anomaly and Magnus force. I conclude that those missing literature can enhance the value of novel experimental method proposed in the commented 2006 Europhysics Letters by Fil {\it et al.}.

The total transverse force acting on a quantized vortex in a type-II superconductor determines the Hall response in the mixed state, yet a consensus as to its correct form is still lacking. In this paper we present an essentially exact expression for this force, valid in the superclean limit, which was obtained by generalizing the recent work by Thouless, Ao, and Niu [D. J. Thouless, P. Ao, and Q. Niu, Phys. Rev. Lett. 76, 3758 (1996)] on the Magnus force in a neutral superfl...

The paper derives the transverse forces (the Magnus and the Lorentz forces) in the lattice models of superfluids in the continuous approximation. The continuous approximation restores translational invariance absent in the original lattice model, but the theory is not Galilean invariant. As a result, calculation of the two transverse forces on the vortex, Magnus force and Lorentz force, requires the analysis of two balances, for the true momentum of particles in the lattice (...