44 citations · 142 across the 12 of their papers we have counts for
4 papers · 1 filter
Chambers's formula for the graphene and the Hou model with kagome periodicity and applications
Bernard Helffer, Philippe Kerdelhué, Jimena Royo-Letelier
The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the…
On the low lying spectrum of the magnetic Schrödinger operator with kagome periodicity
Philippe Kerdelhué, Jimena Royo-Letelier
We study in a semiclassical regime a two-dimensional magnetic periodic Schrödinger operator. We first review some results for the square (Harper), triangular and hexagonal (case of…
Sharp interface limit for two components Bose-Einstein condensates
Michael Goldman, Jimena Royo-Letelier
We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii energy of two-components Bose-Einstein condensates. In the case of large but same order intercompone…
A minimal interface problem arising from a two component Bose Einstein condensate via $\G$-convergence
Amandine Aftalion, Jimena Royo-Letelier
We consider the energy modeling a two component Bose-Einstein condensate in the limit of strong coupling and strong segregation. We prove the -convergence to a perimeter minimiz…