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We describe a formulation of the density matrix embedding theory at finite temperature. We present a generalization of the ground-state bath orbital construction that embeds a mean-field finite-temperature density matrix up to a given order…

Strongly Correlated Electrons · Physics 2020-03-04 Chong Sun , Ushnish Ray , Zhi-Hao Cui , Miles Stoudenmire , Michel Ferrero , Garnet Kin-Lic Chan

We study the three-dimensional (3D) attractive Hubbard model by means of the Determinant Quantum Monte Carlo method. This model is a prototype for the description of the smooth crossover between BCS superconductivity and Bose-Einstein…

Condensed Matter · Physics 2009-11-07 A. Sewer , X. Zotos , H. Beck

The development of novel quantum many-body computational algorithms relies on robust benchmarking. However, generating such benchmarks is often hindered by the massive computational resources required for exact diagonalization or quantum…

Strongly Correlated Electrons · Physics 2025-12-29 Wei-Bo He , Yun-Tong Yang , Hong-Gang Luo

The Hubbard model and its extensions are canonical theoretical frameworks for understanding correlated electronic states, including those in high-$T_c$ cuprates. Here, we use state-of-the-art thermal tensor network method to map out the…

Strongly Correlated Electrons · Physics 2026-04-20 Qiaoyi Li , Yang Qi , Wei Li

Recent studies have highlighted the combination of tensor network methods and the stabilizer formalism as a very effective framework for simulating quantum many-body systems, encompassing areas from ground state to time evolution…

Quantum Physics · Physics 2024-10-22 Xiangjian Qian , Jiale Huang , Mingpu Qin

The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the $SO(4)$ symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of…

Condensed Matter · Physics 2009-10-22 Alessandro Pelizzola

We present a new algorithm to evaluate the grand potential at finite and high-temperature series expansion via many-body perturbation theory. This algorithm allows us to formulate each order as a divided difference. Further, we apply this…

Strongly Correlated Electrons · Physics 2021-12-30 Mohamed Amine Tag , Abid Boudiar , Mohamed El-Hadi Mansour , Abdelkader Hafdallah , Chafia Bendjeroudib

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum effects of electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

Strongly Correlated Electrons · Physics 2025-09-10 Brittany P. Harding , Francisca Sagredo , Vincent Martinetto , Aurora Pribram-Jones

We present the exact solution of the one-dimensional extended Hubbard model in the atomic limit within the Green's function and equation of motion formalism. We provide a comprehensive and systematic analysis of the model by considering all…

Strongly Correlated Electrons · Physics 2008-07-25 F. Mancini , F. P. Mancini

The two-dimensional Holstein-Hubbard model is studied by means of continuous-time quantum Monte Carlo simulations. Using renormalization-group-invariant correlation ratios and finite-size extrapolation, the critical temperature of the…

Strongly Correlated Electrons · Physics 2018-08-06 Manuel Weber , Martin Hohenadler

We propose a new tensor network renormalization group (TNR) scheme based on global optimization and introduce a new method for constructing the finite-temperature density matrix of two-dimensional quantum systems. Combining these two into a…

Strongly Correlated Electrons · Physics 2026-05-13 Atsushi Ueda , Sander De Meyer , Adwait Naravane , Victor Vanthilt , Frank Verstraete

We present a powerful method for calculating the thermodynamic properties of the Hubbard model in infinite dimensions, using an exact diagonalization of an Anderson model with a finite number of sites. At finite temperatures, the explicit…

Condensed Matter · Physics 2007-05-23 Michel Caffarel , Werner Krauth

We introduce a method that ensures efficient computation of one-dimensional quantum systems with long-range interactions across all temperatures. Our algorithm operates within a quasi-polynomial runtime for inverse temperatures up to…

Quantum Physics · Physics 2025-05-19 Rakesh Achutha , Donghoon Kim , Yusuke Kimura , Tomotaka Kuwahara

The magnetic susceptibility of the quarter-filled one-dimensional extended Hubbard model is calculated using the density-matrix renormalization group technique. It is found that in the charge gap regime of the model ($U> 4t $ and $V > 2t$),…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri

We investigate superconductivity emerging in the photodoped Mott insulating Hubbard model using steady-state dynamical mean-field theory implemented on the real-frequency axis. By employing high-order strong-coupling impurity solvers, we…

Strongly Correlated Electrons · Physics 2026-02-20 Lei Geng , Aaram J. Kim , Philipp Werner

Finite-temperature transport properties of one-dimensional systems can be studied using the time dependent density matrix renormalization group via the introduction of auxiliary degrees of freedom which purify the thermal statistical…

Strongly Correlated Electrons · Physics 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

We study the second order finite temperature Mott transition point in the fully frustrated Hubbard model at half filling, within Dynamical Mean Field Theory. Using quantum Monte Carlo simulations we show the existence of a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Marcelo J. Rozenberg , R. Chitra , G. Kotliar

We utilize numerical linked-cluster expansions (NLCEs) and the determinantal quantum Monte Carlo algorithm to study pairing correlations in the square lattice Hubbard model. To benchmark the NLCE, we first locate the finite-temperature…

Strongly Correlated Electrons · Physics 2015-07-14 Ehsan Khatami , Richard T. Scalettar , Rajiv R. P. Singh

We propose a novel algorithm with a modified Tucker decomposition for tensor network that allows for efficiently and precisely calculating the ground state and thermodynamic properties of two-dimensional (2D) quantum spin lattice systems,…

Strongly Correlated Electrons · Physics 2011-12-13 Shi-Ju Ran , Wei Li , Gang Su

By combining conventional finite-temperature many-body perturbation theory with cluster expansions, we develop a systematic method to carry out high order arbitrary temperature perturbative calculations on the computer. The method is well…

Strongly Correlated Electrons · Physics 2009-10-30 Norbert Elstner , Rajiv. R. P. Singh