Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session P70: Metals: Magnetism, Semi-metals and Topology
2:30 PM–5:30 PM,
Wednesday, March 4, 2020
Room: 208
Sponsoring
Units:
DCMP DMP
Abstract: P70.00004 : Polarizability and magnetoplasmons for the α-T3 model*
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Abstract 
Presenter:
Godfrey Gumbs
(Physics and Astronomy, Hunter college)
Authors:
Godfrey Gumbs
(Physics and Astronomy, Hunter college)
Dipendra Dahal
(Physics and Astronomy, Hunter college)
Antonios Balassis
(Fordham University)
Andrii Iurov
(Medgar Evers college)
Danhong Huang
(Kirtland Air Force Research Lab)
*The dynamical polarizability is calculated at zero temperature and then employed in the dielectric function to determine the dispersion relation for magnetoplasmons for the α-T3 model. In the absence of magnetic field, the low-energy spectrum consists of a pair of a pair of Dirac cones and a dispersionless (flat) band in the K and K' valleys, i.e., two inequivalent Dirac points in the first Brillouin zone. However, the corresponding wave functions are valley-dependent. The Dirac-Weyl Hamiltonian for this structure with pseudospin S=1 is characterized by a parameter alpha which is a measure of the coupling strength between an additional atom at the center of the honeycomb lattice for the A and B atoms on the rim. We present results for a doped layer in the integer quantum-Hall regime for fixed alpha and various magnetic fields, and chosen magnetic field and different alpha in the random-phase approximation.
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