Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models

Abstract

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. 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.

6 pages, 5 figures, supplemental material

References in corpus (6)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Frustration and the Kondo effect in heavy fermion materials
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Yb${}_2$Pt${}_2$Pb: Magnetic frustration in the Shastry-Sutherland lattice
• A simple fermionic model of deconfined phases and phase transitions
• Signature of frustrated moments in quantum critical CePd${}_{1-x}$Ni${}_x$Al

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