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Now showing items 81-87 of 87

#### A variational perspective on cloaking by anomalous localized resonance

(Communications in Mathematical Physics, 2014-03-14)

© Springer-Verlag Berlin Heidelberg 2014.A body of literature has developed concerning
“cloaking by anomalous localized resonance.” The mathematical heart of the matter
involves the behavior of a divergence-form elliptic ...

#### Density matrix minimization with ℓ1 regularization

(Communications in Mathematical Sciences, 2015-01-01)

We propose a convex variational principle to find sparse representation of low-lying
eigenspace of symmetric matrices. In the context of electronic structure calculation,
this corresponds to a sparse density matrix minimization ...

#### Bold Diagrammatic Monte Carlo in the Lens of Stochastic Iterative Methods

(2017-11-30)

This work aims at understanding of bold diagrammatic Monte Carlo (BDMC) methods for
stochastic summation of Feynman diagrams from the angle of stochastic iterative methods.
The convergence enhancement trick of the BDMC is ...

#### Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model

(Journal of Mathematical Physics, 2012-11-27)

The continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model
in an external magnetic field is studied. An extension of the classical Cauchy-Born
rule for crystal lattices is established for the electronic ...

#### PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham density functional theory

(2017-04-23)

In this paper, we propose a new Green's function embedding method called PEXSI-$\Sigma$
for describing complex systems within the Kohn-Sham density functional theory (KSDFT)
framework, after revisiting the physics literature ...

#### Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature

(2017-04-23)

We consider a model of an electron in a crystal moving under the influence of an external
electric field: Schr\"{o}dinger's equation with a potential which is the sum of a
periodic function and a general smooth function. ...