Publication

Locality of the anomalous Hall conductivity

Antimo Marrazzo
2017
Journal Articles

Abstract

The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounded and macroscopically homogeneous samples. Here we show that the geometrical AHC has an equivalent expression as a local property. We define a "geometrical marker" which actually probes the AHC in inhomogeneous systems (e.g., heterojunctions), as well as in bounded samples. The marker may even include extrinsic contributions of geometrical nature.

Official source

https://infoscience.epfl.ch/entities/publication/3014b210-7500-42b0-8073-14e80dc803fa

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Antimo Marrazzo
2017
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/3014b210-7500-42b0-8073-14e80dc803fa

About this result

Related concepts (17)

Geometry

Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

Random-access machine

In computer science, random-access machine (RAM) is an abstract machine in the general class of register machines. The RAM is very similar to the counter machine but with the added capability of 'indirect addressing' of its registers. Like the counter machine, The RAM has its instructions in the finite-state portion of the machine (the so-called Harvard architecture). The RAM's equivalent of the universal Turing machine with its program in the registers as well as its data is called the random-access stored-program machine or RASP.

In mathematical logic and theoretical computer science, a register machine is a generic class of abstract machines used in a manner similar to a Turing machine. All the models are Turing equivalent. The register machine gets its name from its use of one or more "registers". In contrast to the tape and head used by a Turing machine, the model uses multiple, uniquely addressed registers, each of which holds a single positive integer.

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