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A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at…

Strongly Correlated Electrons · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

We study the Hubbard model on a square lattice, using the dynamical vertex approximation and the parquet approximation. These methods allow us to describe the mutual interference of spin-fluctuations in the particle-hole channel and…

Strongly Correlated Electrons · Physics 2022-02-18 Anna Kauch , Felix Hörbinger , Motoharu Kitatani , Gang Li , Karsten Held

We study d-wave superconductivity in the extended Hubbard model in the strong correlation limit for a large intersite Coulomb repulsion V. We argue that in the Mott-Hubbard regime with two Hubbard subbands there emerges a new energy scale…

Strongly Correlated Electrons · Physics 2014-09-08 Nikolay M. Plakida , Viktor S. Oudovenko

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

A new theoretical analysis of the current-charge and charge-charge propagators is presented for the Hubbard model, using the static approximation for the Composite Operator Method. This approximation manifestly preserves a sum rule which…

Strongly Correlated Electrons · Physics 2007-05-23 F. Mancini , D. Villani

The half-filled extended Hubbard model, in one and two dimensions, is studied by means of the 2-pole approximation within the Composite Operator Method with the aim at improving the possibilities to describe some of the experimental…

Strongly Correlated Electrons · Physics 2009-11-11 Adolfo Avella , Ferdinando Mancini

Using a two-channel Anderson model, we develop a theory of composite pairing in the 115 family of heavy fermion superconductors that incorporates the effects of f-electron valence fluctuations. Our calculations introduce "symplectic Hubbard…

Superconductivity · Physics 2012-01-10 Rebecca Flint , Andriy H. Nevidomskyy , Piers Coleman

The leading superconducting instabilities of the two-dimensional extended repulsive one-band Hubbard model within spin-fluctuation pairing theory depend sensitively on electron density, band and interaction parameters. We map out the phase…

Superconductivity · Physics 2023-01-02 Mercè Roig , Astrid T. Rømer , P. J. Hirschfeld , Brian M. Andersen

We analyze the two-orbital Hubbard model by means of the Composite Operator Method with the aim at studying the phenomenon of orbital selective Mott transition (OSMT). The model contains an interorbital interaction $U'$, in addition to the…

Strongly Correlated Electrons · Physics 2015-05-13 Adolfo Avella , Ferdinando Mancini , Satoru Odashima , Giovanni Scelza

The search for superconductivity with unconventional pairing symmetry has been a central focus in the study of strongly correlated electron systems. In this work, we report a numerically exact study of the spin-triplet pairing in a…

Quantum Gases · Physics 2025-11-26 Xing-Can Liu , Yu-Feng Song , Yuan-Yao He , Tao Ying , Xueru Zhang

We investigate the charge density wave phase in the strongly correlated Hubbard model without any other broken symmetry phase. Starting from the atomic Hamiltonian with no hopping, we generate quasiparticle operators corresponding to holons…

Strongly Correlated Electrons · Physics 2025-04-17 Anurag Banerjee , Emile Pangburn , Chiranjit Mahato , Amit Ghosal , Catherine Pépin

The high-temperature superconducting cuprates host unidirectional spin- and charge-density-wave orders that can intertwine with superconductivity in non-trivial ways. While the charge components of these stripes have now been observed in…

Strongly Correlated Electrons · Physics 2024-12-25 P. Mai , B. Cohen-Stead , T. A. Maier , S. Johnston

A self-consistent theory of both spin and charge fluctuations in the Hubbard model is presented. It is in quantitative agreement with Monte Carlo data at least up to intermediate coupling $(U\sim 8t)$. It includes both short-wavelength…

Condensed Matter · Physics 2009-10-22 Y. M. Vilk , Liang Chen , A. -M. S. Tremblay

Using the Constrained Path Monte Carlo (CPMC) method, we simulated the two-dimensional, three-band Hubbard model to study pairing, charge, and spin correlations as a function of electron and hole doping and the Coulomb repulsion $V_{pd}$…

Strongly Correlated Electrons · Physics 2009-10-31 Z. B. Huang , H. Q. Lin , J. E. Gubernatis

Within the Composite Operator Method (COM), we report the solution of the Emery model (also known as p-d or three band model), which is relevant for the cuprate high-Tc superconduc- tors. We also discuss the relevance of the often-neglected…

Strongly Correlated Electrons · Physics 2013-06-17 Adolfo Avella , Ferdinando Mancini , Francesco Paolo Mancini , Evgeny Plekhanov

We use the composite operator method (COM) to analyze the strongly correlated repulsive Hubbard model, investigating the effect of nearest-neighbor hoppings up to fourth order on a square lattice. We consider two sets of self-consistent…

Strongly Correlated Electrons · Physics 2024-03-28 L. Haurie , M. Grandadam , E. Pangburn , A. Banerjee , S. Burdin , C. Pépin

A new non-perturbative framework for many-body correlated systems is formulated by extending the operator projection method (OPM). This method offers a systematic expansion which enables us to project into the low-energy structure after…

Strongly Correlated Electrons · Physics 2009-10-31 Shigeki Onoda , Masatoshi Imada

The charge and spin sectors, which are intimately coupled to the fermionic one, of the $t$-$t'$ Hubbard model have been computed self-consistently within the two-pole approximation. The relevant unknown correlators appearing in the causal…

Strongly Correlated Electrons · Physics 2007-07-27 Adolfo Avella , Ferdinando Mancini

A model of CuO$_2$ planes of cuprate perovskites, containing $d_{x^2-y^2}$ copper orbitals and symmetric combinations of oxygen $p_\sigma$ orbitals, is investigated using the strong coupling diagram technique. This approach allows one to…

Strongly Correlated Electrons · Physics 2020-09-01 Alexei Sherman

Analysis of higher-order correlation functions has become a powerful tool for investigating interacting many-body systems in quantum simulators, such as quantum gas microscopes. Experimental measurements of mixed spin-charge correlation…

Strongly Correlated Electrons · Physics 2021-09-08 Yao Wang , Annabelle Bohrdt , Joannis Koepsell , Eugene Demler , Fabian Grusdt