Analytical solution for the Fermi-sea energy of two-dimensional electrons in a magnetic field: lattice path-integral approach and quantum interference
Franco Nori, Yeong-Lieh Lin
Abstract
We derive an exact solution for the total kinetic energy of noninteracting spinless electrons at half-filling in two-dimensional bipartite lattices. We employ a conceptually novel approach that maps this problem exactly into a Feynman-Vdovichenko lattice walker. The problem is then reduced to the analytic study of the sum of magnetic phase factors on closed paths. We compare our results with the ones obtained through numerical calculations.
Create a lesson
Related papers
Anomalous Hall Response and Real-Space Current Correlations in Rhombohedral Graphene
Zhen Bi, Chandra M. Varma
Chirality rules for optical vortices in rhombohedral graphene multilayers
Felipe Pérez Riffo, Matías Castro Schnaidt, Juan M. Florez et al.
Energy-Resolved Cross-Correlation of THz Field Emission of Electrons from a Metal Nanotip
Laurent N. David, Rodrigo T. Paulino, Angela Moskal et al.
Liouvillian Kramers Degeneracy
Kohei Kawabata
Multiple windows of eigenstate-selective delocalization in a non-Hermitian quasiperiodic lattice
Souvik Roy, Santanu K. Maiti
The effects of an alternating bias on a single orbital spin impurity
Matyas Nachtigall, Jose Reina-Gálvez, Christoph Wolf et al.