Gapless excitations of axially symmetric vortices in systems with tensorial order parameter

Adam J. Peterson; Mikhail Shifman

doi:10.1016/j.aop.2014.05.010

Gapless excitations of axially symmetric vortices in systems with tensorial order parameter

Adam J. Peterson, Mikhail Shifman

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We extend the results of previous work on vortices in systems with tensorial order parameters. Specifically, we focus our attention on systems with a Ginzburg-Landau free energy with a global U(1)P×SO(3)S×SO(3)L symmetry in the phase, spin and orbital degrees of freedom. We consider axially symmetric vortices appearing on the spin-orbit locked SO(3)S+L vacuum. We determine the conditions required on the Ginzburg-Landau parameters to allow for an axially symmetric vortex with off diagonal elements in the order parameter to appear. The collective coordinates of the axial symmetric vortices are determined. These collective coordinates are then quantized using the time dependent Ginzburg-Landau free energy to determine the number of gapless modes propagating along the vortex.

Original language	English (US)
Pages (from-to)	84-105
Number of pages	22
Journal	Annals of Physics
Volume	348
DOIs	https://doi.org/10.1016/j.aop.2014.05.010
State	Published - Sep 2014

Bibliographical note

Funding Information:
The authors would like to thank G. Volovik, M. Nitta and A. Kamenev for their comments and suggestions. A.P. would like to thank Gianni Tallarita for interesting discussions. This work was supported in part by DOE grant DE-FG02-94ER40823 .

Keywords

Collective excitations
Effective field theory
Gapless modes

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title = "Gapless excitations of axially symmetric vortices in systems with tensorial order parameter",

abstract = "We extend the results of previous work on vortices in systems with tensorial order parameters. Specifically, we focus our attention on systems with a Ginzburg-Landau free energy with a global U(1)P×SO(3)S×SO(3)L symmetry in the phase, spin and orbital degrees of freedom. We consider axially symmetric vortices appearing on the spin-orbit locked SO(3)S+L vacuum. We determine the conditions required on the Ginzburg-Landau parameters to allow for an axially symmetric vortex with off diagonal elements in the order parameter to appear. The collective coordinates of the axial symmetric vortices are determined. These collective coordinates are then quantized using the time dependent Ginzburg-Landau free energy to determine the number of gapless modes propagating along the vortex.",

keywords = "Collective excitations, Effective field theory, Gapless modes",

author = "Peterson, {Adam J.} and Mikhail Shifman",

note = "Funding Information: The authors would like to thank G. Volovik, M. Nitta and A. Kamenev for their comments and suggestions. A.P. would like to thank Gianni Tallarita for interesting discussions. This work was supported in part by DOE grant DE-FG02-94ER40823 . ",

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AU - Shifman, Mikhail

N1 - Funding Information: The authors would like to thank G. Volovik, M. Nitta and A. Kamenev for their comments and suggestions. A.P. would like to thank Gianni Tallarita for interesting discussions. This work was supported in part by DOE grant DE-FG02-94ER40823 .

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N2 - We extend the results of previous work on vortices in systems with tensorial order parameters. Specifically, we focus our attention on systems with a Ginzburg-Landau free energy with a global U(1)P×SO(3)S×SO(3)L symmetry in the phase, spin and orbital degrees of freedom. We consider axially symmetric vortices appearing on the spin-orbit locked SO(3)S+L vacuum. We determine the conditions required on the Ginzburg-Landau parameters to allow for an axially symmetric vortex with off diagonal elements in the order parameter to appear. The collective coordinates of the axial symmetric vortices are determined. These collective coordinates are then quantized using the time dependent Ginzburg-Landau free energy to determine the number of gapless modes propagating along the vortex.

AB - We extend the results of previous work on vortices in systems with tensorial order parameters. Specifically, we focus our attention on systems with a Ginzburg-Landau free energy with a global U(1)P×SO(3)S×SO(3)L symmetry in the phase, spin and orbital degrees of freedom. We consider axially symmetric vortices appearing on the spin-orbit locked SO(3)S+L vacuum. We determine the conditions required on the Ginzburg-Landau parameters to allow for an axially symmetric vortex with off diagonal elements in the order parameter to appear. The collective coordinates of the axial symmetric vortices are determined. These collective coordinates are then quantized using the time dependent Ginzburg-Landau free energy to determine the number of gapless modes propagating along the vortex.

KW - Collective excitations

KW - Effective field theory

KW - Gapless modes

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SP - 84

EP - 105

JO - Annals of Physics

JF - Annals of Physics

ER -

Gapless excitations of axially symmetric vortices in systems with tensorial order parameter

Abstract

Bibliographical note

Keywords

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