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We investigate the momentum-resolved spin and charge susceptibilities, as well as the chemical potential and double occupancy in the two-dimensional Hubbard model as functions of doping, temperature and interaction strength. Through these…

Strongly Correlated Electrons · Physics 2023-01-03 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

We analyze the dynamical nearest-neighbor and next-nearest-neighbor spin correlations in the 4-site and 8-site dynamical cluster approximation to the two-dimensional Hubbard model. Focusing on the robustness of these correlations at long…

Strongly Correlated Electrons · Physics 2020-04-22 Philipp Werner , Xi Chen , Emanuel Gull

We study the spin diffusion and spin conductivity in the square lattice Hubbard model by using the finite-temperature Lanczos method. We show that the spin diffusion behaves differently from the charge diffusion and has a nonmonotonic $T$…

Strongly Correlated Electrons · Physics 2021-04-21 Martin Ulaga , Jernej Mravlje , Jure Kokalj

We study the square-lattice extended Hubbard model with on-site $U$ and nearest-neighbor $V$ interactions by exact diagonalization. We show that non-equilibrium quench dynamics can help determine the equilibrium phase transition boundaries,…

Superconductivity · Physics 2023-08-21 Wei-Chih Chen , Yao Wang , Cheng-Chien Chen

The two-dimensional Hubbard model exhibits superconductivity with d-wave symmetry even at half-filling in the presence of next-nearest neighbor hopping. Using plaquette cluster dynamical mean-field theory with a continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-09-27 Michael Sentef , Philipp Werner , Emanuel Gull , Arno P. Kampf

We study the phase diagram of the extended Hubbard model on a two-dimensional square lattice, including on-site (U) and nearest-neighbor (V) interactions, at weak couplings. We show that the charge-density-wave phase that is known to occur…

Superconductivity · Physics 2013-08-14 Wen-Min Huang , Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

The last decade has witnessed an impressive progress in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one dimension are Bethe-ansatz integrable,…

Strongly Correlated Electrons · Physics 2021-05-12 B. Bertini , F. Heidrich-Meisner , C. Karrasch , T. Prosen , R. Steinigeweg , M. Znidaric

We present a robust scheme to derive effective models non-perturbatively for quantum lattice models when at least one degree of freedom is gapped. A combination of graph theory and the method of continuous unitary transformations (gCUTs) is…

Strongly Correlated Electrons · Physics 2011-04-18 H-Y. Yang , K. P. Schmidt

Using large-scale dynamical cluster quantum Monte Carlo simulations, we explore the unconventional superconductivity in the hole-doped Hubbard model on the triangular lattice. Due to the interplay of electronic correlations, geometric…

Strongly Correlated Electrons · Physics 2013-07-09 Kuang Shing Chen , Zi Yang Meng , Unjong Yu , Shuxiang Yang , Mark Jarrell , Juana Moreno

We use quantum Monte Carlo simulations to study a finite-temperature dimensional-crossover-driven evolution of spin and charge dynamics in weakly coupled Hubbard chains with a half-filled band. The low-temperature behavior of the charge gap…

Strongly Correlated Electrons · Physics 2015-01-30 Marcin Raczkowski , Fakher F. Assaad , Lode Pollet

The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chiral spin states and unconventional superconductivity. Previous simulations of the ground state of the doped system…

Strongly Correlated Electrons · Physics 2023-08-02 Vinicius Zampronio , Tommaso Macrì

The optical conductivity of the one-band Hubbard model is calculated using the 'Dynamical Cluster Approximation' implementation of dynamical mean field theory for parameters appropriate to high temperature copper-oxide superconductors. The…

Strongly Correlated Electrons · Physics 2009-10-29 Nan Lin , Emanuel Gull , A. J. Millis

We have completed a numerical investigation of the Anderson-Hubbard model for three-dimensional simple cubic lattices using a real-space self-consistent Hartree-Fock decoupling approximation for the Hubbard interaction. In this formulation…

Strongly Correlated Electrons · Physics 2015-05-13 X. Chen , R. J. Gooding

We explore how the superconductivity arising from the on-site electron-electron repulsion will change when the repulsion is changed to a long-ranged, 1/r-like one by introducing an extended Hubbard model with the repulsion extending to…

Superconductivity · Physics 2010-02-17 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

We describe an experimental protocol for introducing spin-dependent lattice structure in a cold atomic fermi gas using lasers. It can be used to realize Hubbard models whose hopping parameters depend on spin and whose interaction strength…

Superconductivity · Physics 2016-08-31 W. Vincent Liu , Frank Wilczek , Peter Zoller

Charge dynamics of the two-dimensional Hubbard model is investigated. Lancz$\ddot{\rm o}$s-diagonalization results for the optical conductivity and the Drude weight of this model are presented. Near the Mott transition, large incoherence…

Condensed Matter · Physics 2009-10-31 Hiroki Nakano , Masatoshi Imada

We investigate the frequency and temperature dependence of the low-energy electron dynamics in a Landau Fermi liquid with a local self-energy. We show that the frequency and temperature dependencies of the optical conductivity obey…

Strongly Correlated Electrons · Physics 2013-03-08 Christophe Berthod , Jernej Mravlje , Xiaoyu Deng , Rok Žitko , Dirk van der Marel , Antoine Georges

Understanding the magnetic response of the normal state of the cuprates is considered a key piece in solving the puzzle of their high-temperature superconductivity. The essential physics of these materials is believed to be captured by the…

We show that the spin liquid phase of the half-filled Hubbard model on the triangular lattice can be described by a pure spin model. This is based on a high-order strong coupling expansion (up to order 12) using perturbative continuous…

Strongly Correlated Electrons · Physics 2011-01-17 H-Y. Yang , A. Laeuchli , F. Mila , K. P. Schmidt

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