Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models
Abstract
The absence of the negative sign problem in quantum Monte Carlo simulations of spin and fermion systems has different origins. Worldline based algorithms for spins require positivity of matrix elements whereas auxiliary field approaches for fermions depend on symmetries such as particlehole symmetry. For negativesignfree spin and fermionic systems, we show that one can formulate a negativesignfree auxiliary field quantum Monte Carlo algorithm that allows Kondo coupling of fermions with the spins. Using this general approach, we study a halffilled Kondo lattice model on the honeycomb lattice with geometric frustration. In addition to the conventional Kondo insulator and antiferromagnetically ordered phases, we find a partial Kondo screened state where spins are selectively screened so as to alleviate frustration, and the lattice rotation symmetry is broken nematically.
 Publication:

Physical Review Letters
 Pub Date:
 March 2018
 DOI:
 10.1103/PhysRevLett.120.107201
 arXiv:
 arXiv:1711.03116
 Bibcode:
 2018PhRvL.120j7201S
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 High Energy Physics  Lattice
 EPrint:
 6 pages, 5 figures, supplemental material