Electromagnetic response in strong magnetic fields. II. Particle polarization and mode structure for parallel propagation

Abstract

The particle part of the polarization matrix for a relativistically dense electron gas in an external magnetic field is explicitly calculated for the case of propagation vector parallel to the magnetic field. The results are combined with the corresponding renormalized vacuum elements to give the complete o -and kdependent dielectric response function eu(E,w) for the system. The static longitudinal element r,,(Z,0) is used to determine the density and field dependence of the screening along the field. The static transverse element el(C,0) determines the magnetic properties of the system. The possibility of magnetic phase transitions is determined for densities greater than a certain B-dependent value. The longitudinal k = 0 element e,,(O,o) is used to investigate the longitudinal plasma mode and the associated plasma frequency of the system; its remarkable magnetic field dependence is displayed. The Landau-level structure of the plasma and the vacuum contribution have important effects on the structure of the mode. The transverse k = 0 lefthanded e+(O,w) and right-handed e-(0,w) elements are employed to analyze the transverse modes and to investigate o,, the associated cyclotron resonance. The latter acquires a complex fine structure owing to the relativistic Landau energy states of the system.

The Non-relativistic Charged Bose Gas in a Magnetic Field II. Quantum Properties

“…The magnetic properties can be determined by evaluating the diamagnetic tensor, which, in turn, can be obtained from the polarisation tensor as discussed in Refs. [3,42,43]. It is expected that the asymptotic expansions used in this paper will also be required in evaluating the diamagnetic behaviour in both the large and small magnetic field limits at T=0 K.…”

Pair-creation collective modes in an electron gas

“…Previous studies of the full (k, co)-dependent response function have mostly been restricted to the long-wavelength, low-frequency (relative to the rest mass) regime. For calculating the relativistic response, a Green-function method has been applied [7,8], but explicit results were shown only for the co=0 and k=O situations. Our calculations [1], which form the basis for this paper, have explicitly displayed the full (k, co)-dependent response function for a relativistic system.…”

“…If the density is higher than Eq. (8), so that more levels are occupied, Eqs. (35) are automatically satisfied (assuming that r, & 1), and the lowest level is certainly weakly coupled.…”

Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling. II. RPA response functions and collective modes

“…This result is explicitly an analytic longwavelength expression of the influence of polarization on the screening length which was treated other wise by extensive numerics 28,83 . The static screening length (79) changes only for finite κ 2 V which means a finite magnetic field or ferromagnetic impurity polarization V .…”

“…The Landau levels influence the spin relaxation 25,26 , which has been measured with the help of spin coherence times 27 . The influence of magnetic fields is treated in various systems ranging from plasma 28 , solid-state plasmas 29 , and semiconductors 30 to spin-orbit coupled systems 31 and graphene 32 . The feedback of magnetization dynamics due to spins on the spin dynamics itself is reviewed in Ref.…”