Deformations of the spin currents by topological screw dislocation and cosmic dispiration

Abstract

We study the spin currents induced by topological screw dislocation and cosmic dispiration. By using the extended Drude model, we find that the spin dependent forces are modified by the nontrivial geometry.For the topological screw dislocation, only the direction of spin current is bended by deforming the spin polarization vector. In contrast, the force induced by cosmic dispiration could affect both the direction and magnitude of the spin current. As a consequence, the spin-Hall conductivity doesn't receive corrections from screw dislocation.

Harmonic oscillator in an elastic medium with a spiral dislocation

“…The common point between these areas of physics is the description of these defects made by the Volterra process [1,2,4,5]. Up to now, a great deal of study has explored quantum system in the presence of disclinations [6][7][8][9][10] and screw dislocations [5,[11][12][13][14][15][16] in the context of condensed matter physics. In particular, torsion effects related to the presence of topological defects are in the interests of studies of semiconductors [17][18][19][20].…”

On an atom with a magnetic quadrupole moment in a rotating frame

“…Hall effect [73], quantum scattering [74][75][76], spin currents [77], cylindrical shells [78] and geometric quantum phases [79,80].…”

Hall Conductivity in the Cosmic Defect and Dislocation Spacetime

“…We consider the quantum Hall effect which is one of the most profound phenomena * Electronic address: makainca@yeah.net of charge carries in electromagnetic fields. It is shown that the Hall conductivity receives a correction which depends linearly on the scale parameters of the topological defects, and are in the same order with the corrections on the spin-Hall conductivity [22,23]. However, we can expect that very steady and precise quantized Hall conductivity can provide better experimental sensitivity and can bound on parameters of the models.…”

“…Various studies on the electromagnetic dynamics of the magnetic and electric dipole moments shown that both their global and local physical properties can be sensitive to non-trivial geometries [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. However, it is still difficult to observe them experimentally.…”