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We use ultracold spin--1/2 atomic fermions ($^6$Li) to realize the Hubbard model on a three-dimensional (3D) optical lattice. At relatively high temperatures and at densities near half-filling, we show that the gas forms a Mott insulator…

Quantum Gases · Physics 2015-12-17 Randall G. Hulet , Pedro M. Duarte , Russell A. Hart , Tsung-Lin Yang

The quasistatic approximation and equation-of-motion decoupling for the electron Green's functions are applied to trace the effect of electronic dispersion and electron correlations on the ferromagnetism of two-dimensional…

Strongly Correlated Electrons · Physics 2015-05-28 P. A. Igoshev , A. V. Zarubin , A. A. Katanin , V. Yu. Irkhin

Supersolidity and magnetism are fundamental phenomena characterizing strongly correlated states of matter. Here, we unveil a mechanism that establishes a direct connection between these quantum regimes and can be experimentally accessed in…

We investigate the onset and evolution of under the simultaneous application of pressure and magnetic field of distinct itinerant N\'eel states using the underscreened Anderson Lattice Model (UALM) which has been proposed to describe…

Strongly Correlated Electrons · Physics 2022-07-20 A. C. Lausmann , E. J. Calegari , Julián Faúndez , P. S. Riseborough , S. G. Magalhaes

We study the dynamics of two strongly-interacting fermions moving in 2D lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon.…

Quantum Gases · Physics 2019-11-22 Miguel Bello , Charles E. Creffield , Gloria Platero

The time-dependent exact-diagonalization method is used to study the light-induced phase transition of magnetic orders in the anisotropic triangular-lattice Hubbard model. Calculating the spin correlation function, we confirm that the phase…

Strongly Correlated Electrons · Physics 2021-04-28 Hayato Kobayashi , Ryo Fujiuchi , Koudai Sugimoto , Yukinori Ohta

We propose that an artificial electromagnetic field can be engineered in the context of cold fermionic atoms that are coupled to a cavity mode via two-photon processes in a two-dimensional optical lattice. There is a standing-wave pump…

Quantum Physics · Physics 2019-12-24 Xiaoyong Guo , Yu Chen , Jian Liu

We study the phase diagram of the two-dimensional repulsive Hubbard model with spin-dependent anisotropic hopping at half-filling. The system develops Ising antiferromagnetic long-range order already at infinitesimal repulsive interaction…

Strongly Correlated Electrons · Physics 2017-05-17 Jan Gukelberger , Lei Wang , Lode Pollet

Inspired by recent advances in the fabrication of surface superlattices, and in particular the triangular lattice made of tin (Sn) atoms on silicon, we study an extended Hubbard mode on a triangular lattice. The observations of magnetism in…

Strongly Correlated Electrons · Physics 2025-02-17 Kun Woo Kim , T. Pereg-Barnea

Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

We explore the magnetic properties of a two-dimensional Hubbard model on an inhomogeneous square lattice, which provides a platform for tuning the bandwidth of the flat band. In its limit, this inhomogeneous square lattice turns into a Lieb…

Strongly Correlated Electrons · Physics 2023-06-16 Xiao Zhang , Runyu Ma , Zenghui Fan , Zixuan Jia , Lufeng Zhang , Tianxing Ma

Electrons in artificial lattices enable explorations of the impact of repulsive Coulomb interactions in a tunable system. We have trapped two-dimensional electrons belonging to a gallium arsenide quantum well in a nanofabricated lattice…

Strongly Correlated Electrons · Physics 2011-06-17 A. Singha , M. Gibertini , B. Karmakar , S. Yuan , M. Polini , G. Vignale , M. I. Katsnelson , A. Pinczuk , L. N. Pfeiffer , K. W. West , V. Pellegrini

We investigate a spin-$\frac{1}{2}$ fermion chain minimally coupled to a $\mathbb{Z}_2$ gauge field. In the sector of the gauge generator $\hat G_j =-1$, the model reduces to the Hubbard model with repulsive onsite interaction coupled to a…

Strongly Correlated Electrons · Physics 2023-03-24 Zi-Yong Ge , Franco Nori

We present a way of partly reincorporate the effects of the localized bonding electrons on the dynamics of their itinerant counterparts in Hubbard-like Hamiltonians. This is done by relaxing the constraint that the former should be entirely…

Strongly Correlated Electrons · Physics 2020-09-23 T. V. Trevisan , Gustavo M. Monteiro , A. O. Caldeira

We predict that a lateral electrical current in antiferromagnets can induce non-equilibrium N\'eel order fields, i.e. fields whose sign alternates between the spin sublattices, which can trigger ultra-fast spin-axis reorientation. Based on…

Materials Science · Physics 2016-11-25 J. Zelezny , H. Gao , K. Vyborny , J. Zemen , J. Masek , A. Manchon , J. Wunderlich , J. Sinova , T. Jungwirth

We show theoretically that the sudden application of an appropriate ac field to correlated lattice fermions flips the band structure and effectively switches the interaction from repulsive to attractive. The nonadiabatically driven system…

Quantum Gases · Physics 2011-06-13 Naoto Tsuji , Takashi Oka , Philipp Werner , Hideo Aoki

The thermal order by disorder effect in magnetic field is studied for a classical Heisenberg antiferromagnet on the kagome lattice. Using analytical arguments we predict a unique H-T phase diagram for this strongly frustrated magnet: states…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

We study the photoinduced ultrafast dynamics in relativistic Mott insulators, i.e., Mott insulators with strong spin-orbit coupling. For this purpose, we consider a minimal one-band Hubbard model on lattices with square and triangular…

Strongly Correlated Electrons · Physics 2020-10-20 Jiajun Li , Nagamalleswararao Dasari , Martin Eckstein

Strongly interacting fermionic systems host a variety of interesting quantum many-body states with exotic excitations. For instance, the interplay of strong interactions and the Pauli exclusion principle can lead to Stoner ferromagnetism,…

Quantum Gases · Physics 2023-03-01 Felix A. Palm , Mert Kurttutan , Annabelle Bohrdt , Ulrich Schollwöck , Fabian Grusdt

Quantum fluctuations in the effective spin one-half layered structure triangular-lattice quantum Heisenberg antiferromagnet Ba$_3$CoSb$_2$O$_9$ lift the classical degeneracy of the antiferromagnetic ground state in magnetic field, producing…

Strongly Correlated Electrons · Physics 2021-06-02 N. A. Fortune , Q. Huang , T. Hong , J. Ma , E. S. Choi , S. T. Hannahs , Z. Y. Zhao , X. F. Sun , Y. Takano , H. D. Zhou