Hall effect and transport phenomena in the chiral kagome lattice

P. PUJOL; H. D. ROSALES; F. A. GÓMEZ ALBARRACÍN

Toulouse

Conferencia; XXth International Conference on Recent Progress in Many Body Theories; 2019

Universite Paul Sabatier

n this work, we present transport phenomena (anomalous Hall effect, thermal Hall effect) that emerge due to the chiral nature of the magnetic ground state of the extended Heinsenberg model in the kagome antiferromagnet. First, we discuss a model for a ?spontaneous? Chern insulator. We consider a 2D electron gas coupled to a classical magnetic background via a strong Hund?s coupling. The chosen magnetic background has spontaneous net chirality, which arises from introducing an XXZ anisotropy and an external magnetic field in the Hamiltonian. We analyze the phase diagram as a function of the Fermi energy and the temperature of the classical spins by computing the Density-of-States and the Hall conductance. Second, we propose to explore the effect of the electron gas in the properties of the magnetic background through an autoconsistent method, combining updates of the electronic states and Monte Carlo simulations for the magnetic background. Finally, we discuss the possibility of magnon transport in the anisotropic XXZ model.