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Magnetic translation algebra with or without magnetic field in the continuum or on arbitrary Bravais lattices in any dimension
Claudio Chamon, Christopher Mudry
The magnetic translation algebra plays an important role in the quantum Hall effect. Murthy and Shankar, arXiv:1207.2133, have shown how to realize this algebra using fermionic bil…
Enhancing the stability of a fractional Chern insulator against competing phases
Adolfo G. Grushin, Titus Neupert, Claudio Chamon +1
We construct a two-band lattice model whose bands can carry the Chern numbers C=0,pm1,pm2. By means of numerical exact diagonalization, we show that the most favorable situation th…
Elementary formula for the Hall conductivity of interacting systems
Titus Neupert, Luiz Santos, Claudio Chamon +1
A formula for the Hall conductivity of interacting electrons is given under the assumption that the ground state manifold is N_gs-fold degenerate and discrete translation symmetry…