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Publication# Hall magnetometry on a ferromagnetic nanoring

Abstract

We have integrated an individual nanostructured permalloy ring on a Hall sensor and studied the switching processes in a temperature regime between 4.2 and 90 K in in-plane magnetic fields. The nanoring has an outer diameter of 550 nm. In the ring with a small width of 125 nm we find a characteristic two-step switching process in the Hall traces. We show that the switching fields change if we vary the direction of the in-plane field or the temperature. We attribute this to lateral inhomogeneities in the nanoring.

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Ontological neighbourhood

Ring (mathematics)

In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. In other words, a ring is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers. Ring elements may be numbers such as integers or complex numbers, but they may also be non-numerical objects such as polynomials, square matrices, functions, and power series.

Quotient ring

In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient group in group theory and to the quotient space in linear algebra. It is a specific example of a quotient, as viewed from the general setting of universal algebra. Starting with a ring R and a two-sided ideal I in R, a new ring, the quotient ring R / I, is constructed, whose elements are the cosets of I in R subject to special + and ⋅ operations.

Artinian ring

In mathematics, specifically abstract algebra, an Artinian ring (sometimes Artin ring) is a ring that satisfies the descending chain condition on (one-sided) ideals; that is, there is no infinite descending sequence of ideals. Artinian rings are named after Emil Artin, who first discovered that the descending chain condition for ideals simultaneously generalizes finite rings and rings that are finite-dimensional vector spaces over fields.

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