Spin-charge transformation of lattice fermion models: duality approach for diagrammatic simulation of strongly correlated systems

Abstract

I derive a dual description of lattice fermions, specifically focusing on the t-J and Hubbard models, that allow diagrammatic techniques to be employed efficiently in the strongly correlated regime, as well as for systems with a restricted Hilbert space. These constructions are based on spin-charge transformation, where the lattice fermions of the original model are mapped onto spins and spin-less fermions. This mapping can then be combined with Popov-Fedotov fermionisation, where the spins are mapped onto lattice fermions with imaginary chemical potential. The resulting models do not contain any large expansion parameters, even for strongly correlated systems. Also, they exhibit dramatically smaller corrections to the density matrix from nonlinear terms in the Hamiltonian. The combination of these two properties means that they can be addressed with diagrammatic methods, including simulation techniques based on stochastic sampling of diagrammatic expansions.

arXiv commentPublished here http://iopscience.iop.org/article/10.1088/1361-648X/aa7e1b

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Cited by in corpus (8)

• Diagrammatic Monte Carlo procedure for the spin-charge transformed Hubbard model
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Pseudoparticle vertex solver for quantum impurity models
• In situ controllable magnetic phases in doped twisted bilayer transition-metal dichalcogenides
• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
• Evidence of attraction between charge-carriers in a doped Mott insulator
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Majorana Diagrammatics for Quantum Spin-1/2 Models