Open AccessEnergy spectra and quantized Hall conductance in a 2D lattice subjected to light irradiation
Author(s) -
Sukriti Sarkar,
Moumita Dey,
Santanu K. Maiti
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1579/1/012016
Subject(s) - quantum hall effect , irradiation , physics , condensed matter physics , conductance , floquet theory , quantum mechanics , lattice (music) , quantum spin hall effect , quantum , transverse plane , spectral line , electron , nonlinear system , structural engineering , acoustics , engineering
We make an in-depth analysis of the phenomenon of integer quantum Hall effect, considering a two-dimensional (2D) square lattice in presence of light irradiation. Following the well known Landauer-Buttiker multi-probe formalism we compute transverse conductance in a four-probe setup where the irradiation effect is incorporated through a minimal coupling scheme based on the Floquet-Bloch approach. The energy spectrum gets significantly modified with the irradiation which thus directly affects the quantum Hall plateaus. Moreover, we also put an emphasis on how to get an effective one-dimensional Harper equation from the 2D Hall system. Several characteristic features emerge from our analysis that might be interesting and important as well.