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Charge dynamics in an interacting fermionic model on a geometrically frustrated lattice are examined. We analyze a spinless fermion model on a paired triangular lattice, an electronic model for layered iron oxides, in zero and finite…

Strongly Correlated Electrons · Physics 2015-06-23 Makoto Naka , Sumio Ishihara

We analyze the pressure and density equations of state of unpolarized non-relativistic fermions at finite temperature in one spatial dimension. For attractively interacting regimes, we perform a third-order lattice perturbation theory…

High Energy Physics - Lattice · Physics 2017-05-17 Andrew C. Loheac , Joaquin E. Drut

We show how to generalise the zero temperature Lanczos method for calculating dynamical correlation functions to finite temperatures. The key is the microcanonical ensemble, which allows us to replace the involved canonical ensemble with a…

Strongly Correlated Electrons · Physics 2009-11-10 M. W. Long , P. Prelovsek , S. El Shawish , J. Karadamoglou , X. Zotos

We describe a controllable and unbiased strong-coupling diagrammatic Monte Carlo technique that is applicable to a wide range of fermionic systems and spin models. Unlike previous strong coupling methods that generally rely on the…

Strongly Correlated Electrons · Physics 2021-05-26 Johan Carlström

The temporal finite volume induces significant effects in Monte Carlo simulations of systems in low dimensions, such as graphene, a 2-D hexagonal system known for its unique electronic properties and numerous potential applications. In this…

Strongly Correlated Electrons · Physics 2024-11-07 Lado Razmadze , Thomas Luu

We present a strategy for mapping the dynamics of a fermionic quantum system to a set of classical dynamical variables. The approach is based on imposing the correspondence relation between the commutator and the Poisson bracket, preserving…

Quantum Physics · Physics 2020-09-29 Amikam Levy , Wenjie Dou , Eran Rabani , David T. Limmer

We develop a direct diagrammatic Monte Carlo framework for the Renyi entanglement entropy of interacting lattice fermions. The method starts from the fermionic graded-swap representation of Z_n[A]=Tr_A\rho_A^n, which converts the entropy…

Strongly Correlated Electrons · Physics 2026-05-22 Boyuan Shi

Motivated by ongoing interest in the universal behaviour of the Hubbard model of spinning electrons on honeycomb and $\pi$-flux lattices at the semi-metal -- Mott insulator phase transition, we formulate the \threeD~chiral Heisenberg model,…

High Energy Physics - Lattice · Physics 2026-04-01 Simon Hands , Johann Ostmeyer

We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime…

Mathematical Physics · Physics 2024-01-10 Yukimi Goto , Tohru Koma

Using unitary transformations, we express the Kondo lattice Hamiltonian in terms of fermionic operators that annihilate the ground state of the interacting system and that represent the best possible approximations to the actual charged…

Condensed Matter · Physics 2009-10-28 J. M. Prats , F. Lopez-Aguilar

Expansion dynamics of interacting fermions in a lattice are simulated within the one-dimensional (1D) Hubbard model, using the essentially exact time-evolving block decimation (TEBD) method. In particular, the expansion of an initial…

Quantum Gases · Physics 2015-03-18 J. Kajala , F. Massel , P. Törmä

We present a study of electric transport at high temperature in a model of strongly interacting spinless fermions without disorder. We use exact diagonalization to study the statistics of the energy eigenvalues, eigenstates, and the matrix…

Strongly Correlated Electrons · Physics 2009-11-11 Subroto Mukerjee , Vadim Oganesyan , David Huse

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of…

Quantum Physics · Physics 2015-05-30 J. Casanova , A. Mezzacapo , L. Lamata , E. Solano

We present a variational density matrix approach to the thermal properties of interacting fermions in the continuum. The variational density matrix is parametrized by a permutation equivariant many-body unitary transformation together with…

Strongly Correlated Electrons · Physics 2022-04-04 Hao Xie , Linfeng Zhang , Lei Wang

Optical lattice experiments with ultracold fermion atoms and quantum gas microscopy have recently realized direct measurements of magnetic correlations at the site-resolved level. We calculate the short-range spin correlation functions in…

Strongly Correlated Electrons · Physics 2017-08-28 Mingpu Qin , Hao Shi , Shiwei Zhang

We investigate the interaction-induced resistivity of ultracold fermions in a three-dimensional optical lattice. In situ observations of transport dynamics enable the determination of real and imaginary resistivity. In the strongly…

We investigate coupled dynamics of spinless fermions on a one-dimensional lattice and spins on the links. When the hopping integral and the on-site potential of the fermions depend on the direction of the link spins, the low-energy…

Quantum Gases · Physics 2025-08-05 Yuto Hosogi , Koichiro Furutani , Yuki Kawaguchi

We calculate thermodynamic properties of soft-core lattice bosons with on-site $n$-body interactions using up to twelfth and tenth order strong coupling expansion in one and two dimensional cubic lattices at zero temperature. Using linked…

Quantum Gases · Physics 2014-08-27 Vipin Kerala Varma , Hartmut Monien

The analysis of nuclear magnetic resonance parameters, such as the indirect nuclear spin-spin coupling constants, in terms of contributions from localised molecular orbitals is a commonly used approach for gaining a deeper understanding of…

Chemical Physics · Physics 2026-03-23 Sarah L. V. Zahn , Luna Zamok , Sonia Coriani , Stephan P. A. Sauer

Many experimentally-accessible, finite-sized interacting quantum systems are most appropriately described by the canonical ensemble of statistical mechanics. Conventional numerical simulation methods either approximate them as being coupled…

Strongly Correlated Electrons · Physics 2023-05-23 Tong Shen , Hatem Barghathi , Jiangyong Yu , Adrian Del Maestro , Brenda Rubenstein