It has been recently shown that solitons are fundamental classical solutions of non-commutative field theories. We reconsider this issue from the standpoint of the Hall effect and identify some solutions with known solutions in the integer Hall effect with no Zeeman coupling.

The present paper focuses on various aspects regarding Hall Effect sensors’ design, integration, and behavior analysis. In order to assess their performance, different Hall Effect geometries were tested for Hall voltage, sensitivity, offset, and temperature drift. The residual offset was measured both with an automated measurement setup and by manual switching of the individual phases. To predi...

In this paper, Hall-effect sensor faults are investigated in Sinusoidal-current-fed Permanent Magnet In-wheel Motor (PMIM) drives. And an effective methodology for their diagnostic and compensation is proposed. In particular, fault diagnostic only based Hall sensors signal, at the rising or falling edges of Hall signal, fault types of Hall sensors are diagnosed according to the specific type of...

We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative ChernSimons description of the quantum Hall effect and bosonization of collective fermion states are used as specific examples. To appear in the “Bourbaphy” Séminaire Poincaré X, Institut Henri Poincaré, Paris

Time-reversal invariance places strong constraints on the properties of the quantum spin Hall edge. One such restriction is the inevitability of dissipation in a Josephson junction between two superconductors formed on such an edge without the presence of interaction. Interactions and spinconservation breaking are key ingredients for the realization of dissipationless ac Josephson effect on suc...

It is well-known that gauge fields defined on manifolds with spatial boundaries support states localized at the boundary. In this talk, we show how similar states arise in canonical gravity and discuss their physical relevance using their analogy to quantum Hall effect.

This lecture aims to present an overview of the properties of Hall effect devices. Descriptions of the Hall phenomenon, a review of the Hall effect device characteristics and of the various types of probes are presented. Particular attention is paid to the recent development of three-axis sensors and the related techniques to cancel the offsets and the planar Hall effect. The lecture introduces...

We introduce ŝ.n̂ where n̂ = ~r/|~r| which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order of v/c. The effective fractional charges obtained from this interaction are in good agreement with the experimental data of quantum Hall effect. The energy of the system diverges as l → ∞ indicating that there is a phase tra...

We describe the generic behavior of Fredholm indices in the space of Toeplitz operators. We relate this behavior to certain conjectures and open problems that arise in the context of the Quantum Hall Effect.

We present a two dimensional model of IQHE in accord with the cyclotron motion. The quantum equation of the QHE curve and a new definition of filling factor are also given.