From Popov-Fedotov trick to universal fermionization

Abstract

We show that Popov-Fedotov trick of mapping spin-1/2 lattice systems on two-component fermions with imaginary chemical potential readily generalizes to bosons with a fixed (but not limited) maximal site occupation number, as well as to fermionic Hamiltonians with various constraints on the site Fock states. In a general case, the mapping---fermionization---is on multi-component fermions with many-body non-Hermitian interactions. Additionally, the fermionization approach allows one to convert large many-body couplings into single-particle energies, rendering the diagrammatic series free of large expansion parameters; the latter is essential for the efficiency and convergence of the diagrammatic Monte Carlo method.

4 pages, no figures (v2 contains some improvements; the most important one is the generic complex chemical potential trick for spins/bosons)

References in corpus (2)

• Diagrammatic Monte Carlo for Correlated Fermions
• Regularization of Diagrammatic Series with Zero Convergence Radius

Cited by in corpus (12)

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• Taming pseudo-fermion functional renormalization for quantum spins: Finite-temperatures and the Popov-Fedotov trick
• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
• Bilinear Majorana representations for spin operators with spin magnitudes $S>1/2$
• Spin-charge transformation of lattice fermion models: duality approach for diagrammatic simulation of strongly correlated systems
• Grassmannization of classical models
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Majorana Diagrammatics for Quantum Spin-1/2 Models