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Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models

Toshihiro Sato, Fakher F. Assaad, Tarun Grover
2018 Physical Review Letters  
The absence of negative sign problem in quantum Monte Carlo simulations of spin and fermion systems has different origins. World-line based algorithms for spins require positivity of matrix elements whereas auxiliary field approaches for fermions depend on symmetries such as particle-hole. For negative-sign-free spin and fermionic systems, we show that one can formulate a negative-sign-free auxiliary field quantum Monte Carlo algorithm that allows Kondo coupling of fermions with the spins.
more » ... ith the spins. Using this general approach, we study a half-filled Kondo lattice model on the Honeycomb lattice with geometric frustration. In addition to the conventional Kondo insulator and anti-ferromagnetically 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.
doi:10.1103/physrevlett.120.107201 pmid:29570313 fatcat:vfl5vmcuvjfarfvtb5u2twcqym