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Yunnan Daxue xuebao. Shehui kexue ban

Vortex solution in charge boson system

Yun‐De Li

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Firstly,through the foundation and development of superconducting theory,the important rale of the Ginzburg-Landass theory has been explained.And the anisotropic inhomogenous systems' complete GL equation and different parameters' relative equations has been given.Secondly,by assumingH_α=0 and using valid calculation,the vortex solution in charge Boson system has been obtained.

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Firstly,through the foundation and development of superconducting theory,the important rale of the Ginzburg-Landass theory has been explained.And the anisotropic inhomogenous systems' complete GL equation and different parameters' relative equations has been given.Secondly,by assumingH_α=0 and using valid calculation,the vortex solution in charge Boson system has been obtained.
In this thesis, we study and compare two approaches to describe vortex lattices for a number of physical systems. The first approach consists of imposing an extra constraint equation on the order parameter, that leads to a Liouville-like partial differential equation for the particle density. The second approach is a new generalisation of a method originally developed by Abrikosov to the case of a certain p-wave superconductors.\n\nWith the first approach, we find an infinite number of energetically degenerate solutions. The second approach leads - under suitable conditions - to a phase transition between different vortex lattices.
In this paper we study the Ginzburg-Landau (GL) equation for Fermi liquid superconductors with strong Landau interactions F0F_0F0​ and F1F_1F1​. We show that Landau interactions renormalize two parameters entering the GL equation leading to renormalization of superfluid density and separation of length and energy scales for amplitude and phase fluctuations. The separation of energy/length scales for amplitude and phase fluctuations in term leads to unconventional (2D) KT transition and vortex liquid phase. Application of the GL equation to describe underdoped high-TcT_cTc​ cuprates is being discussed.
It is intended to derive the Ginzburg–Landau (GL) equation directly from the Bardeen–Cooper–Schrieffer (BCS) Hamiltonian. By the use of the Hubbard–Stratonovitch transformation, the electron–electron interaction composed of four fermion operators is eliminated to yield an auxiliary boson field. This is an effective field in which electrons behave as if they were free. In applying the path integral method, the electron field is integrated out to remain the Lagrangian for this boson field. The symmetry breaking and the phase transition of the system described by this field are discussed, and it is shown that this boson field turns out to be the GL order parameter. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 693–703, 1998
The guiding conception of vortex-condensation-driven Mott insulating behavior is central to the theory of the nodal liquid. We amplify our earlier description of this idea and show how vortex condensation in two-dimensional (2D) electronic systems is a natural extension of 1D Mott insulating and 2D bosonic Mott insulating behavior. For vortices in an underlying superconducting pair field, there is an important distinction between the condensation of flux hc/2ehc/2ehc/2e and flux hc/ehc/ehc/e vortices. The former case leads to spin-charge confinement, exemplified by the band insulator and the charge-density wave. In the latter case, spin and charge are liberated, leading directly to a 2D Mott insulator exhibiting spin-charge separation. Possible upshots include not only the nodal liquid, but also an undoped antiferromagnetic insulating phase with gapped excitations exhibiting spin-charge separation.
Adiabatic effective action for vortices in neutral and charged superfluids at zero temperature are calculated using the topological Landau-Ginzburg theory recently proposed by Hatsuda, Yahikozawa, Ao and Thouless, and vortex dynamics are examined. The Berry phase term arising in the effective action naturally yields the Magnus force in both neutral and charged superfluids. It is shown that in neutral superfluid there is only one degree of freedom, namely the center of vorticities, and the vortex energy is proportional to the sum of all vorticities so that it is finite only for the vanishing total vorticity of the system. On the other hand the effective mass and the vortex energy for a vortex in charged superfluids are defined individually as expected. The effects of the vortex core on these quantities are also estimated. The possible depinning scenario which is governed by the Magnus force and the inertial mass is also discussed.