most citedSpin-current diode with a ferromagnetic semiconductor

15 citations

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3 papers

math.DG2016

Riemannian Rigidity of the Parallel Postulate in Total Curvature

Jian Ge, Luis Guijarro, Pedro Solórzano

We prove that the Euclidean plane is the only Riemannian plane with total curvature and free of conjugate points that satisfies Playfair's version of the parallel postulate.

cond-mat.mes-hall2015★ 15 cited

Spin-current diode with a ferromagnetic semiconductor

Qing-Feng Sun, X. C. Xie

Diode is a key device in electronics: the charge current can flow through the device under a forward bias, while almost no current flows under a reverse bias. Here we propose a cor…

math.DG2015

Ultracontractivity and functional inequalities on infinite graphs

Yong Lin, Shuang Liu, Hongye Song

In this paper, we prove the equivalent of ultracontractive bound of heat semigroup or the uniform upper bound of the heat kernel with the Nash inequality, Log-Sobolev inequalities…