scholarly journals Interband effects of magnetic field on Hall conductivity in the multilayered massless Dirac fermion systemα-(BEDT-TTF)2I3

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
Naoya Tajima ◽  
Reizo Kato ◽  
Shigeharu Sugawara ◽  
Yutaka Nishio ◽  
Koji Kajita
Keyword(s):  
Magnetic Field ◽  
Hall Conductivity ◽  
Dirac Fermion ◽  
Massless Dirac Fermion

COLLECTIVE FIELD THEORY TO MAGNETIC-FIELD-INDUCED SPIN-DENSITY-WAVE-STATE IN BECHGAARD SALTS, (TMTSF)2X

1993 ◽  
Vol 07 (19) ◽  
pp. 3415-3421 ◽  
Author(s):  
ALEXANDRE S. ROZHAVSKY
Keyword(s):  
Magnetic Field ◽  
Spin Density ◽  
Chemical Potential ◽  
Density Wave ◽  
Spin Density Wave ◽  
Hall Conductivity ◽  
Chiral Anomaly ◽  
Threshold Field ◽  
Wave State ◽  
Extended States

A field description of spin-density-wave (SDW) in a quasi-two-dimensional metal with open Fermi surface in magnetic field, is proposed. The SDW transition temperature, T c (H), and the Hall conductivity σxy, are calculated. The dependence T c (H) is found to be different from that of the Bardeen-Cooper-Schrieffer model, in particular, a threshold field, H c , found its natural explanation. It is proved that the quantized Hall conductivity arises from the chiral anomaly terms in the effective action provided there is pinning of chemical potential in the gap of extended states.

scholarly journals Transport Phenomena in Multilayered Massless Dirac Fermion System α-(BEDT-TTF)2I3

Crystals ◽  
2012 ◽  
Vol 2 (2) ◽  
pp. 643-661 ◽  
Author(s):  
Naoya Tajima ◽  
Yutaka Nishio ◽  
Koji Kajita
Keyword(s):  
Transport Phenomena ◽  
Dirac Fermion ◽  
Fermion System ◽  
Massless Dirac Fermion

NONCOMMUTATIVE DESCRIPTION OF SPIN HALL EFFECT

2009 ◽  
Vol 06 (02) ◽  
pp. 343-360 ◽  
Author(s):  
AHMED JELLAL ◽  
RACHID HOUÇA
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Hall Effect ◽  
High Frequency ◽  
Hall Conductivity ◽  
Spin Hall Effect ◽  
Harmonic Oscillators ◽  
Frequency Regime ◽  
Basic Features ◽  
Noncommutative Plane

We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating the spin Hall conductivity. Focusing on the high frequency regime, we obtain a diagonalized Hamiltonian. After getting the corresponding spectrum, we show that there is a Hall conductivity without an external magnetic field, which is noncommutativity parameter θ-dependent. This allows us to make contact with the spin Hall effect and also give different interpretations. Fixing θ, one can recover three different approaches dealing with the phenomenon.

scholarly journals Effect of the Zero-Mode Landau Level on Interlayer Magnetoresistance in Multilayer Massless Dirac Fermion Systems

2009 ◽  
Vol 102 (17) ◽  
Author(s):  
Naoya Tajima ◽  
Shigeharu Sugawara ◽  
Reizo Kato ◽  
Yutaka Nishio ◽  
Koji Kajita
Keyword(s):  
Landau Level ◽  
Zero Mode ◽  
Dirac Fermion ◽  
Fermion Systems ◽  
Massless Dirac Fermion
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