Yuezhao Li
Yuezhao Li
We study the robustness of topological phases on aperiodic lattices by constructing *-homomorphisms from the groupoid model to the coarse-geometric model of observable C*-algebras. These *-homomorphisms induce maps in K-theory and Kasparov ...
Paul Duncan,Benjamin Schweinhart
Paul Duncan
We show that the i-dimensional plaquette random-cluster model with coefficients in Z q is dual to a ( d - i ) -dimensional plaquette random cluster model. In addition, we explore boundary conditions, infinite volume limits, and uniqueness...
Raphaël Chétrite,Stefano Marcantoni
Raphaël Chétrite
We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and a...
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities [0.03%]
广义MIT袋模型的非相对论极限及谱估计问题
Jussi Behrndt,Dale Frymark,Markus Holzmann et al.
Jussi Behrndt et al.
For a family of self-adjoint Dirac operators - i c ( α · ∇ ) + c 2 2 subject to generalized MIT bag boundary conditions on domains in R 3 , it is shown that the nonrelativistic limit in the norm resolvent sense is the Di...
Jana Reker
Jana Reker
We compute the deterministic approximation for mixed fluctuation moments of products of deterministic matrices and general Sobolev functions of Wigner matrices. Restricting to polynomials, our formulas reproduce recent results of Male et al...
Joscha Henheik
Joscha Henheik
We investigate the BCS critical temperature T c in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirma...