3 papers
math-ph2021
Breakdown of superconductivity in a magnetic field with self-intersecting zero set
Kamel Attar
We prove that the lowest eigenvalue of the Laplace operator with a magnetic field having a self-intersecting zero set is a monotone function of the parameter defining the strength…
quant-ph2019
Hamiltonian engineering of general two-body spin-1/2 interactions
K. I. O. Ben 'Attar, D. Farfurnik, N. Bar-Gill
Spin Hamiltonian engineering in solid-state systems plays a key role in a variety of applications ranging from quantum information processing and quantum simulations to novel studi…
math.AP2015
Pinning with a variable magnetic field of the two dimensional Ginzburg-Landau model
Kamel Attar
We study the Ginzburg-Landau energy of a superconductor with a variable magnetic field and a pinning term in a bounded smooth two dimensional domain . Supposing that the Ginzbur…