Chern insulator with large Chern numbers. Chiral Majorana fermion liquid

Abstract

In the framework of Hofstadter`s approach we provide a detailed analysis of a realization of exotic topological states such as the Chern insulator with large Chern numbers. In a transverse homogeneous magnetic field a one-particle spectrum of fermions transforms to an intricate spectrum with a fine topological structure of the subbands. In a weak magnetic field $H$ for a rational magnetic flux, a topological phase with a large Chern number is realized near the half filling. There is an abnormal behavior of the Hall conductance ${\sigma }_{xy}\simeq \frac{e}{2H}$. At half-filling, the number of chiral Majorana fermion edge states increases sharply forming a new state, called the chiral Majorana fermion liquid.

5 pages, 5 figures

References in corpus (5)

• Perturbative Approach to Flat Chern Bands in the Hofstadter Model
• Measuring Chern numbers in Hofstadter strips
• Spontaneous breaking of time-reversal symmetry in topological superconductors
• Spontaneous breaking of time-reversal symmetry in topological insulators
• Quantum Hall Effect of Massless Dirac Fermions and Free Fermions in Hofstadter's Butterfly

Cited by in corpus (5)

• A higher-dimensional quasicrystalline approach to the Hofstadter and Fibonacci butterflies topological phase diagram and band conductance: symbolic sequences, Sturmian coding and self-similar rules at all magnetic fluxes
• Topological states in the Hofstadter model on a honeycomb lattice
• Edge modes in the Hofstadter model of interacting electrons
• The quantum Hall effect at a weak magnetic field
• Dirac fermion spectrum of the fractional quantum Hall states