Vortex equations governing the fractional quantum Hall effect
DOI10.1063/1.4931660zbMath1326.35130arXiv1504.04060OpenAlexW1923447612MaRDI QIDQ3192696
Publication date: 13 October 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.04060
existencefractional quantum Hall effectvortex equations2-dimensional double-layered electron systems
Variational methods for elliptic systems (35J50) Many-body theory; quantum Hall effect (81V70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-abelian vortices in supersymmetric gauge field theory via direct methods
- The existence and asymptotics of solutions for the abelian Chern-Simons system with two Higgs fields and two gauge fields
- Topological solitons in Chern-Simons theories for the double-layer fractional quantum Hall effect
- Self-dual gauge field vortices. An analytical approach
- Quantum field theory of anyons
- Analytical, geometrical and topological aspects of a class of mean field equations on surfaces
- On multivortices in the electroweak theory. I: Existence of periodic solutions
- On multivortices in the electroweak theory. II: Existence of Bogomol'nyi solutions in \(\mathbb R^2\)
- The existence of non-topological solitons in the self-dual Chern-Simons theory
- Topological solitons in the Weinberg-Salam theory
- Quantum field theories of vortices and anyons
- Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
- Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
- Solutions to the master equations governing fractional vortices
- On a system of nonlinear elliptic equations arising in theoretical physics
- On the existence of self-dual vortices in the abelian Chern-Simons model with two Higgs fields
- Existence theorems for vortices in the Aharony-Bergman-Jaferis-Maldacena model
- Abrikosov’s Vortices in the Critical Coupling
- Solitons in Chern–Simons Theories of Nonrelativistic CPN-1 Models: Spin Textures in the Quantum Hall Effect
- Classical solutions in the Born—Infeld theory
This page was built for publication: Vortex equations governing the fractional quantum Hall effect