19,570 research outputs found
Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models
We consider least energy solutions to the nonlinear equation posed on a class of Riemannian models of dimension
which include the classical hyperbolic space as well as manifolds
with unbounded sectional geometry. Partial symmetry and existence of least
energy solutions is proved for quite general nonlinearities , where
denotes the geodesic distance from the pole of
Quantum Confinement Induced Metal-Insulator Transition in Strongly Correlated Quantum Wells of SrVO Superlattice
Dynamical mean-field theory (DMFT) has been employed in conjunction with
density functional theory (DFT+DMFT) to investigate the metal-insulator
transition (MIT) of strongly correlated electrons due to quantum
confinement. We shed new light on the microscopic mechanism of the MIT and
previously reported anomalous subband mass enhancement, both of which arise as
a direct consequence of the quantization of V states in the SrVO
layers. We therefore show that quantum confinement can sensitively tune the
strength of electron correlations, leading the way to applying such approaches
in other correlated materials
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