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Ultracold fermionic alkaline earth atoms confined in optical lattices realize Hubbard models with internal SU(N) symmetries, where N can be as large as ten. Such systems are expected to harbor exotic magnetic physics at temperatures below…

We introduce a machine-learning density-functional-theory formalism for the spinless Hubbard model in one dimension at both zero and finite temperature. In the zero-temperature case this establishes a one-to-one relation between the site…

Strongly Correlated Electrons · Physics 2021-06-16 James Nelson , Rajarshi Tiwari , Stefano Sanvito

Recent experiments show that periodic modulations of cold atoms in optical lattices may be used to engineer and explore interesting models. We show that double modulation, combining lattice shaking and modulated interactions allows for the…

Quantum Gases · Physics 2014-11-05 Sebastian Greschner , Luis Santos , Dario Poletti

We study numerically the thermalisation and temporal evolution of the reduced density matrix for a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum…

Quantum Physics · Physics 2011-01-24 S. Genway , A. F. Ho , D. K. K. Lee

We investigate the mapping between magnetic susceptibility and entanglement in the metallic, insulating, conventional and exotic polarized superfluid phases of one-dimensional fermionic lattice systems as described by the Hubbard model.…

Quantum Gases · Physics 2020-07-01 D. Arisa , V. V. França

The Hubbard model on a cube was revisited and extended by both nearest-neighbor (nn) Coulomb correlation and {nearest-neighbor} Heisenberg exchange. The complete eigensystem was computed exactly for all electron occupancies and all model…

Strongly Correlated Electrons · Physics 2015-05-13 Rolf Schumann , David Zwicker

We propose a new algorithm of the finite lattice method to generate the high-temperature series for the Ising model in three dimensions. It enables us to extend the series for the free energy of the simple cubic lattice from the previous…

High Energy Physics - Lattice · Physics 2009-11-07 Hiroaki Arisue , Toshiaki Fujiwara

We study the attractive fermionic Hubbard model on a honeycomb lattice using determinantal quantum Monte Carlo simulations. By increasing the interaction strength U (relative to the hopping parameter t) at half-filling and zero temperature,…

Quantum Gases · Physics 2009-12-24 K. L. Lee , K. Bouadim , G. G. Batrouni , F. Hebert , R. T. Scalettar , C. Miniatura , B. Gremaud

Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here we report site-resolved observations of…

We study thermodynamic properties of the doped Hubbard model on the square lattice in the regime of strong charge and spin fluctuations at low temperatures near the metal-to-insulator crossover and obtain results with controlled accuracy…

Strongly Correlated Electrons · Physics 2021-03-17 Connor Lenihan , Aaram J. Kim , Fedor Šimkovic IV. , Evgeny Kozik

We study the Hubbard model on a hypercubic lattice with regard to the possibility of itinerant ferromagnetism. The Dynamical Mean Field theory is used to map the lattice model on an effective local problem, which is treated with help of the…

Strongly Correlated Electrons · Physics 2009-10-30 Thomas Obermeier , Thomas Pruschke , Joachim Keller

We suggest a method for an approximative solution of the two dimensional Hubbard model close to half filling. It is based on partial bosonisation, supplemented by an investigation of the functional renormalisation group flow. The inclusion…

Strongly Correlated Electrons · Physics 2009-11-10 T. Baier , E. Bick , C. Wetterich

The Fermi-Hubbard model describes ultracold fermions in an optical lattice and exhibits antiferromagnetic long-ranged order below the N\'{e}el temperature. However, reaching this temperature in the lab has remained an elusive goal. In other…

Quantum Gases · Physics 2018-10-03 Anthony E. Mirasola , Michael L. Wall , Kaden R. A. Hazzard

The Hund coupling in multiorbital Hubbard systems induces spin freezing and associated Hund metal behavior. Using dynamical mean field theory, we explore the effect of local moment formation, spin and charge excitations on the entropy and…

Strongly Correlated Electrons · Physics 2020-08-12 Changming Yue , Philipp Werner

We investigate the one-dimensional Hubbard model with an additional bond-charge interaction, recently considered in the description of compounds that exhibit strong 1D features above the temperature of ordered phases. The partition function…

Strongly Correlated Electrons · Physics 2009-11-07 Fabrizio Dolcini , Arianna Montorsi

The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena. Here by solving the thermodynamic Bethe ansatz equations we…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yi-Song Yu , Murray T Batchelor , Xi-Wen Guan

The method of calculating the free energy and thermodynamic characteristics of the classical n-vector three-dimensional (3D) magnetic model at the microscopic level without any adjustable parameters is proposed. Mathematical description is…

Statistical Mechanics · Physics 2008-11-26 Z. E. Usatenko , M. P. Kozlovskii

We develop a novel cluster expansion for finite-spin lattice systems subject to multi-body quantum -- and, in particular, classical -- interactions. Our approach is based on the use of ``decoupling parameters", advocated by Park [34], which…

Mathematical Physics · Physics 2023-07-21 Nguyen Tong Xuan , Roberto Fernandez

Specific heat ($C_V$) measurements in the spin-1/2 Cu$_2$(C$_2$H$_{12}$N$_2$)$_2$Cl$_4$ system under a magnetic field up to $H=8.25 T$ are reported and compared to the results of numerical calculations based on the 2-leg antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 R. Calemczuk , J. Riera , D. Poilblanc , J. -P. Boucher , G. Chaboussant , L. Levy , O. Piovesana

The SU(2) symmetric Fermi-Hubbard model (FHM) plays an essential role in strongly correlated fermionic many-body systems. In the one particle per site and strongly interacting limit ${U/t \gg 1}$, it is effectively described by the…