Persistent current of a Hubbard ring threaded with a magnetic flux

1992 ◽  
Vol 45 (20) ◽  
pp. 11795-11804 ◽  
Author(s):  
Naichang Yu ◽  
Michael Fowler
Keyword(s):  
Magnetic Flux ◽  
Persistent Current

scholarly journals Distribution of magnetic field around simply and multiply connected supraconductors

1936 ◽  
Vol 157 (890) ◽  
pp. 132-146 ◽  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Magnetic Flux ◽  
Meissner Effect ◽  
The Body ◽  
Persistent Current ◽  
Closed Circuit ◽  
Multiply Connected ◽  
Constant Flux ◽  
Connected Body

The experiments to be described in this paper arose from a suggestion by M. von Laue that it would be of interest to examine more closely the behaviour of simply and multiply connected supraconducting bodies in an external magnetic field. If a closed circuit be taken wholly within a supraconducting body, sufficiently far from the surface, the magnetic flux through the circuit should be constant as long as no part of the body is subjected to a magnetic field greater than the critical field strength. For a simply connected body, if the spontaneous ejection of flux on cooling through the transition point, the so-called Meissner effect, is complete, the constant flux through any circuit should be zero. For a multiply connected body, it should be equal to the value immediately after the body became supraconducting. Only in the case of a multiply connected body, that is, a closed circuit, can there be a resultant current through any cross-section in the steady state. This may be taken as a definition of the current I in the circuit, the so-called persistent current. Let L be the self-inductance of the circuit, calculated for the supraconducting state on the assumption that the current flows entirely in a layer very close to the surface. Let ϕ be the calculated magnetic flux through the circuit due to external magnetic field, allowing for the distortion of the field by the presence of supraconducting material. Then, if it can be assumed that the maintenance of the constant flux through the closed circuit is due to a persistent current in the above sense, the law of constant flux can be written in the form LI + ϕ = ϕ 0 . (1)

scholarly journals PERSISTENT SPIN CURRENT AND ENTANGLEMENT IN THE ANISOTROPIC SPIN RING

2007 ◽  
Vol 21 (06) ◽  
pp. 327-337 ◽  
Author(s):  
ZI-XIANG HU ◽  
YOU-QUAN LI
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Magnetic Flux ◽  
Ground State ◽  
State Energy ◽  
Spin Current ◽  
Persistent Current ◽  
One Dimensional ◽  
The Magnetic Field ◽  
Twisted Boundary Conditions

We investigate the ground state persistent spin current and the pair entanglement in one-dimensional antiferromagnetic anisotropic Heisenberg ring with twisted boundary conditions. By solving Bethe ansatz equations numerically, we calculate the dependence of the ground state energy on the total magnetic flux through the ring, and the resulting persistent current. Motivated by the recent development of the quantum entanglement theory, we study the properties of the ground state concurrence under the influence of the flux through the anisotropic Heisenberg ring. We also include an external magnetic field and discuss the properties of the persistent current and the concurrence in the presence of the magnetic field.

Dependence of the magnitude and direction of the persistent current on the magnetic flux in superconducting rings

2007 ◽  
Vol 105 (6) ◽  
pp. 1157-1173 ◽  
Author(s):  
V. L. Gurtovoi ◽  
S. V. Dubonos ◽  
A. V. Nikulov ◽  
N. N. Osipov ◽  
V. A. Tulin
Keyword(s):  
Magnetic Flux ◽  
Persistent Current ◽  
Superconducting Rings

PERSISTENT CURRENT IN TWO SUB-RINGS COUPLED BY ONE EMBEDDED QUANTUM DOT

2007 ◽  
Vol 21 (06) ◽  
pp. 885-894
Author(s):  
YA-RU WANG ◽  
ZHI-MING BAI ◽  
JI-QING QIU ◽  
YUNG-CHUNG CHEN
Keyword(s):  
Quantum Dot ◽  
Magnetic Flux ◽  
Persistent Current ◽  
Mesoscopic System

We investigate a two sub-rings mesoscopic system embedded with one quantum dot in common. Owing to the screening cloud of the two sub-rings, the change of the magnetic flux and the number of lattice sites in one sub-ring influence the persistent current not only in itself but also in another. Kondo-assisted (suppressed) tunneling appears in the two sub-rings system constructed by even (odd) number of lattice sites.

scholarly journals Currents in a Quantum Nanoring Controlled by Non-Classical Electromagnetic Field

Entropy ◽  
2021 ◽  
Vol 23 (6) ◽  
pp. 652
Author(s):  
Jerzy Dajka
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Flux ◽  
Coulomb Interaction ◽  
Persistent Current ◽  
Quantum Ring ◽  
Driving Field

Quantum ring accommodating interacting spin-less fermions threaded by magnetic flux with a non-classical component added to a static, inducing persistent current, is considered. It is investigated how current flowing in the ring becomes affected by a state of non-classical flux and how Coulomb interaction between fermions influences entanglement of quantum ring and the driving field. In particular it is shown that in an absence of decoherence and under certain conditions fermion–fermion interaction is necessary for a ring–field entanglement to occur.

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