6,200 research outputs found
Relating black holes in two and three dimensions
The three dimensional black hole solutions of Ba\~nados, Teitelboim and
Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions
are obtained to the Jackiw-Teitelboim theory of two dimensional gravity for
spinless BTZ black holes, and to a simple extension with a non-zero dilaton
potential for black holes of fixed spin. Similar reductions are given for
charged black holes. The resulting two dimensional solutions are themselves
black holes, and are appropriate for investigating exact ``S-wave'' scattering
in the BTZ metrics. Using a different dimensional reduction to the string
inspired model of two dimensional gravity, the BTZ solutions are related to the
familiar two dimensional black hole and the linear dilaton vacuum.Comment: 12 pages, CTP #2181, January 199
Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with -wave superconductors
We study the localization and oscillation properties of the Majorana fermions
that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling
(SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the
angular dependence of the d-wave pairing, localization and oscillation
properties are found to be similar to the ones seen in conventional s-wave
superconductors. In addition, we study a microscopic lattice version of the
previous system that can be characterized by a topological invariant. We derive
its real space representation that involves nearest and
next-to-nearest-neighbors pairing. Finally, we show that the emerging chiral
Majorana fermions are indeed robust against static disorder. This analysis has
potential applications to quantum simulations and experiments in high-
superconductors.Comment: revtex4 file, color figure
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