The Possibility of a Self-sustaining Corbino Disk

Midgley, D.

doi:10.1038/186377a0

Cited by 8 publications

(5 citation statements)

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“…Interestingly, in the superfluid electrodynamics picture the vortex in a BEC, see Fig. S1(a), realises a dynamic Corbino disk geometry [36], and opens a window for studies of a plethora of vortextronic applications familiar from electronic systems [37][38][39][40][41]. Considering two vortices initially located on diametrically opposite sides of the condensate, each of which then orbits half a circle, results in a vortex exchange phase of 2π times an integer number of atoms, reflecting the bosonic origin of the vortices.…”

Section: W = " >mentioning

confidence: 99%

Geometric phases of a vortex in a superfluid

Polkinghorne,

Groszek,

Simula

2021

Preprint

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We consider geometric phases of mobile quantum vortices in superfluid Bose-Einstein condensates. Haldane and Wu [Phys. Rev. Lett. 55, 2887 (1985)] showed that the geometric phase, γ C = 2πN C , of such a vortex is determined by the number of condensate atoms N C enclosed by the vortex trajectory. Considering an experimentally realistic freely orbiting vortex leads to an apparent disagreement with this prediction. We resolve it using the superfluid electrodynamics picture, which allows us to identify two additional contributions to the measured geometric phase; (i) a topologically protected edge current of vortices at the condensate boundary, and (ii) a superfluid displacement current. Our results generalise to, and pave the way for experimental measurements of vortex geometric phases using scalar and spinor Bose-Einstein condensates, and superfluid Fermi gases.

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Section: W = " >mentioning

confidence: 99%

Geometric phases of a vortex in a superfluid

Polkinghorne,

Groszek,

Simula

2021

Preprint

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“…Yet, the optimum current patterns and coefficient patterns are markedly different for both cases, as it is apparent in Figure 8. For maximum 0 η ("lossy bias") the currents are such, that the voltages at zero magnetic field are 0 V for contacts 1,2,3,4,5,36,37,38,39,40, and they are at the positive supply voltage for contacts 16 to 25. No current flows through all other contacts at zero magnetic field.…”

Section: ( ) ( )mentioning

confidence: 99%

“…The contacts must be perfectly conducting and ohmic. The current density in the Hall plate must be low enough for its accompanying magnetic field to be negligible to the externally applied magnetic field, i.e., no magnetic self-field effects [2] [3] [4]. Yet anisotropy and inhomogeneity of conductivity and magnetic field are allowed [5] [6].…”

Section: Introductionmentioning

confidence: 99%

The Ultimate Noise Limit for Hall Plates in Voltage, Current, and Hybrid Operating Modes

Ausserlechner¹

2020

JAMP

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“…In the case of non-zero net current through a hole boundary it is obvious that the stream function ψ has a problem, because in Section 5 of part I, we saw that ψ is constant on insulating boundaries between contacts, and it jumps across a contact by the amount of current through the contact (see (18) in part I). .…”

Section: Hall Plates With Point Current Contacts On Different Boundarmentioning

confidence: 99%

“…In (18), the terms in the brackets act like a potential, which fulfills the Laplace equation because of (18), which is a von Neumann boundary condition that does not depend on the applied magnetic field. Therefore the term in the brackets of (18) (14a,b)).…”

Section: Hall Plates With Point Current Contacts On Different Boundarmentioning

confidence: 99%

The Classical Hall Effect in Multiply-Connected Plane Regions Part II: Spiral Current Streamlines

Ausserlechner¹

2019

JAMP

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Multiply-connected Hall plates show different phenomena than singly connected Hall plates. In part I (published in Journal of Applied Physics and Mathematics), we discussed topologies where a stream function can be defined, with special reference to Hall/Anti-Hall bar configurations. In part II, we focus on topologies where no conventional stream function can be defined, like Corbino disks. If current is injected and extracted at different boundaries of a multiply-connected conductive region, the current density shows spiral streamlines at strong magnetic field. Spiral streamlines also appear in simply-connected Hall plates when current contacts are located in their interior instead of their boundary, particularly if the contacts are very small. Spiral streamlines and circulating current are studied for two complementary planar device geometries: either all boundaries are conducting or all boundaries are insulating. The latter case means point current contacts and it can be treated similarly to singly connected Hall plates with peripheral contacts through the definition of a so-called loop stream function. This function also establishes a relation between Hall plates with complementary boundary conditions. The theory is explained by examples.

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The Possibility of a Self-sustaining Corbino Disk

Cited by 8 publications

References 1 publication

Geometric phases of a vortex in a superfluid

Geometric phases of a vortex in a superfluid

The Ultimate Noise Limit for Hall Plates in Voltage, Current, and Hybrid Operating Modes

The Classical Hall Effect in Multiply-Connected Plane Regions Part II: Spiral Current Streamlines

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