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Quantum Monte Carlo determinantal algorithm without Hubbard-Stratonovich transformation: a general consideration
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Continuous-time determinantal algorithm is proposed for the quantum Monte Carlo simulation of the interacting fermions. The scheme does not invoke Hubbard-Stratonovich transformation. The fermionic action is divided into two parts. One of them contains the interaction and certain additional terms; another one is purely Gaussian. The first part is considered as a perturbation. Terms of the series expansion for the partition function are generated in a random walk process. The sign problem and the complexity of the algorithm are analyzed. We argue that the scheme should be useful particularly for the systems with non-local interaction.
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On polarons and dimerons in the two-dimensional attractive Hubbard model
In the 2D attractive Hubbard model, the polaron-to-dimeron transition present at low spin-up filling disappears above a filling of about 20%, leaving the polaron as the stable ground state at all couplings.
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