scholarly journals Quasiparticle interference and Landau level spectroscopy in graphene in the presence of a strong magnetic field

2009 ◽  
Vol 80 (8) ◽  
Author(s):  
Rudro R. Biswas ◽  
Alexander Balatsky
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Landau Level ◽  
Quasiparticle Interference ◽  
Landau Level Spectroscopy

scholarly journals Thermoelectric properties of the (an-)isotropic QGP in magnetic fields

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
He-Xia Zhang ◽  
Jin-Wen Kang ◽  
Ben-Wei Zhang
Keyword(s):  
Magnetic Field ◽  
Seebeck Coefficient ◽  
Strong Magnetic Field ◽  
Landau Level ◽  
Electric Fields ◽  
Chemical Potential ◽  
Thermal Structure ◽  
Transport Coefficients ◽  
Transverse Motion ◽  
Thermoelectric Transport

AbstractThe Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along x-axis and along y-axis ($$E_{x}$$ E x and $$E_{y}$$ E y ), respectively, induced by the thermal gradient along x-axis, are studied in the QGP at an external magnetic field along z-axis. We calculate the associated Seebeck coefficient ($$S_{xx}$$ S xx ) and Nernst signal (N) using the relativistic Boltzmann equation under the relaxation time approximation. In an isotropic QGP, the influences of magnetic field (B) and quark chemical potential ($$\mu _{q}$$ μ q ) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find $$S_{xx}$$ S xx for a fixed $$\mu _{q}$$ μ q is negative (positive) in sign, indicating that the dominant carriers for converting heat gradient to electric field are negatively (positively) charged quarks. The absolute value of $$S_{xx}$$ S xx decreases with increasing temperature. Unlike $$S_{xx}$$ S xx , the sign of N is independent of charge carrier type, and its thermal behavior displays a peak structure. In the presence of strong magnetic field, due to the Landau quantization of transverse motion of (anti-)quarks perpendicular to magnetic field, only the longitudinal Seebeck coefficient ($$S_{zz}$$ S zz ) exists. Our results show that the value of $$S_{zz}$$ S zz at a fixed $$\mu _{q}$$ μ q in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, $$S_{zz}$$ S zz exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, $$S_{zz}$$ S zz decreases and even its sign changes from positive to negative. The computations of these thermoelectric transport coefficients are also extended to a medium with momentum-anisotropy induced by initial spatial expansion as well as strong magnetic field.

scholarly journals LANDAU LEVEL GAP REDUCTION AT ABRUPT EDGES

1994 ◽  
Vol 08 (19) ◽  
pp. 1185-1193 ◽  
Author(s):  
I. BARTOŠ ◽  
B. ROSENSTEIN
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Landau Level ◽  
Landau Levels ◽  
Step Potential ◽  
Local Reduction ◽  
Magnetic Length ◽  
Multiple Step

For an electron localized near a finite rectangular step potential under strong magnetic field we found a profound local reduction of the gap between neighboring Landau levels.1,2 We investigate under what conditions the effect persists when the barrier gets smoother. The conclusion is that to get a substantial gap reduction the barrier gradient has to be larger than ħw c /a L (a L is the magnetic length). The sensitivity of the gap reduction is illustrated using tilted and multiple step barriers and finite stripe configurations.

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