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We use the $C_{4v}$ symmetry group of the 4-site Hubbard model to construct a ground state variational wave function of two- and four interacting electrons. In the limit $U\rightarrow 0$, ground state energies of the two- and four…

Strongly Correlated Electrons · Physics 2021-04-16 Robinson O. Okanigbuan , Kingsley N. Onaiwu

We have performed a comprehensive study of the singlet ground state of two electrons on the surface of a sphere of radius $R$. We have used electronic structure models ranging from restricted and unrestricted Hartree-Fock theory to…

Other Condensed Matter · Physics 2010-02-19 Pierre-François Loos , Peter M. W. Gill

We address the Kondo lattice with one conduction band by introducing a representation of the (s=1/2) local moments consisting in an s=1 triplet of spin fluctuations of a vacuum state. The excitation of these fluctuations by the electronic…

Condensed Matter · Physics 2008-02-03 J. M. Prats , F. Lopez-Aguilar

We study the quantum self-organization of a few interacting particles with strong short-range interactions. The physical system is modeled via a 2D Hubbard square lattice model, with a nearest-neighbor interaction term of strength U and a…

Strongly Correlated Electrons · Physics 2023-11-28 Ioannis Kleftogiannis , Ilias Amanatidis

We study the possible ground state configurations of two strongly coupled chains of charge neutral spin-3/2 fermionic atoms interacting via short range van der Waals interaction. The coupling between the two chains is realized by relatively…

Strongly Correlated Electrons · Physics 2015-01-19 Edina Szirmai , Heloise Nonne

Motivated by the lack of an obvious spectroscopic probe to investigate non-conventional order such as quadrupolar orders in spin S>1/2 systems, we present a theoretical approach to inelastic light scattering for spin-1 quantum magnets in…

Strongly Correlated Electrons · Physics 2015-05-30 Frédéric Michaud , François Vernay , Frédéric Mila

The two-dimensional d-p model (or extended Hubbard model) on a square lattice is investigated for fermion pairing by a slave boson method. The inter-site d-fermion interaction is introduced additionally. The momentum space counterpart of…

Superconductivity · Physics 2008-03-06 Partha Goswami

We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive…

Strongly Correlated Electrons · Physics 2022-02-03 Kou-Han Ma , Ning-Hua Tong

We discuss a model with ultra-cold atoms confined in optical superlattices. In particular, we study the ground-state properties of two spin-1 bosons trapped in a double-well potential. Depending on the external magnetic field and…

Quantum Physics · Physics 2023-07-19 Artur Barasiński , Wiesław Leoński , Tomasz Sowiński

We present an improved upper bound for the ground state energy of lattice fermion models with sign problem. The bound can be computed by numerical simulation of a recently proposed family of deformed Hamiltonians with no sign problem. For…

High Energy Physics - Lattice · Physics 2009-11-07 Matteo Beccaria

Based on density functional calculations, we report on the orbital order and microscopic magnetic model of FeNCN, a prototype compound for orbital-only models. Despite having a similar energy scale, the spin and orbital degrees of freedom…

Strongly Correlated Electrons · Physics 2011-06-21 Alexander A. Tsirlin , Klaus Koepernik , Helge Rosner

We study the ground state properties of the Hubbard model on a 4-leg cylinder with doped hole concentration per site $\delta\leq 12.5\%$ using density-matrix renormalization group. By keeping a large number of states for long system sizes,…

Strongly Correlated Electrons · Physics 2020-07-22 Yi-Fan Jiang , Jan Zaanen , Thomas P. Devereaux , Hong-Chen Jiang

Different scenarios of the implementation of the two-band model in strongly correlated electrons systems, including frustrated magnets, high-temperature superconductors, and Kondo lattices, are considered. The interaction of current…

Strongly Correlated Electrons · Physics 2018-04-23 V. Yu. Irkhin , Yu. N. Skryabin

We study numerically the ground state properties of the one-dimensional quarter-filled strongly correlated electronic system interacting antiferromagnetically with localized $S=1/2$ spins. It is shown that the charge-ordered state is…

Strongly Correlated Electrons · Physics 2009-11-11 Chisa Hotta , Masao Ogata , Hidetoshi Fukuyama

A Hubbard-like model with SU(4) symmetry for electrons with two-fold orbital degeneracy is studied extensively. Exact solution in one dimension is derived by means of Bethe ansatz, where the sites are supposed to be occupied by at most two…

Strongly Correlated Electrons · Physics 2009-10-31 You-Quan Li , Shi-Jian Gu , Zu-JianYing , Ulrich Eckern

We study the ground state properties of the Holstein-Hubbard model on some bipartite lattices at half-filling; The ground state is proved to exhibit ferrimagnetism whenever the electron-phonon interaction is not so strong. In addition, the…

Mathematical Physics · Physics 2018-05-09 Tadahiro Miyao

We study the nearest-neighbor Heisenberg antiferromagnet on a face-centered cubic lattice with arbitrary spin S. The model exhibits degenerate classical ground states including two collinear structures AF1 and AF3 described by different…

Strongly Correlated Electrons · Physics 2022-12-05 R. Schick , O. Götze , T. Ziman , R. Zinke , J. Richter , M. E. Zhitomirsky

We numerically study the behavior of spin--$1/2$ fermions on a two-dimensional square lattice subject to a uniform magnetic field, where opposite spins interact via an on-site attractive interaction. Starting from the non-interacting case…

Strongly Correlated Electrons · Physics 2017-11-01 Cécile Repellin , Tarik Yefsah , Antoine Sterdyniak

We use perturbative series expansions about a staggered dimerized ground state to compute the ground state energy, triplet excitation spectra and spectral weight for a one-dimensional model in which each site has an $S=\case 1/2$ spin ${\bf…

Strongly Correlated Electrons · Physics 2009-11-07 Weihong Zheng , J. Oitmaa

Quantum models on the hyper-cubic d-dimensional lattice of spin-1/2 particles interacting with linear oscillators are shown to have three ferromagnetic ground state order parameters. Two order parameters coincide with the magnetization in…

Statistical Mechanics · Physics 2008-04-25 Teunis C. Dorlas , Wolodymyr I. Skrypnik