The enigma of unconventional superconductivity in doped cuprates presents a formidable challenge the realm condensed matter physics. Recent findings strong near-neighbor attractions one-dimensional cuprate chains suggest new avenue for investigating superconductors. Consequently, we revisited extended Hubbard model at mean-field level. Anticipating prevalence antiferromagnetic order due to local Coulomb repulsion, our calculations reveal coexistence superconducting and orders across wide...

Abstract Context.—Glial choristoma is an uncommon developmental abnormality typically presenting at birth or in early childhood. The nasal region most frequently affected. Palate, tongue, cheek, scalp, and orbit can also be affected but these occurrences are relatively rare. Objective.—To report 6 cases of glial arising the oral maxillofacial to document clinical pathologic features lesions. Design.—Histologic immunocytochemical examinations were performed on choristoma. Biologic behavior,...

Abstract Context.—Glial choristoma is an uncommon developmental abnormality typically presenting at birth or in early childhood. The nasal region most frequently affected. Palate, tongue, cheek, scalp, and orbit can also be affected but these occurrences are relatively rare. Objective.—To report 6 cases of glial arising the oral maxillofacial to document clinical pathologic features lesions. Design.—Histologic immunocytochemical examinations were performed on choristoma. Biologic behavior,...

Numerical solvers for strongly correlated electronic systems poses a significant challenge in condensed matter theory. In recent years, extensive exploration of effects has been carried out based on exactly solvable Hatsugai-Kohmoto-like models. this work, we investigate simple two-site cluster extension the Hatsugai-Kohmoto model. The model exhibits rich variety phases, including charge-$4e$ phase, charge-$2e$ metallic pseudogap and Luttinger liquid phase. These findings contribute to...

Ernst Kurth (1886-1946), as one of the representative theorists "Kinetic Energy School" which was established at beginning last century and focused on formal Theory dynamic nature music, proposed comprehensive specific Theory". In Grundragen des linearen Kontrapunkts, first book in his Energy" series, Kurth, while analyzing compositional techniques styles Johann Sebastian Bach's polyphonic works, also makes a new interpretation "melody" "rhythm" from perspective Theory", is different...

Strongly correlated electron systems are generally described by tight binding lattice Hamiltonians with strong local (on site) interactions, the most popular being Hubbard model. Although half filled model can be simulated Monte Carlo(MC), physically more interesting cases beyond filling plagued sign problem. One therefore should resort to other methods. It was demonstrated recently that a systematic truncation of set Dyson-Schwinger equations for correlators Hubbard, supplemented...

A modified $GW$ approximation to many - body systems is developed. The has the same computational complexity as traditional approach, but uses a different truncation scheme. This scheme neglects high order connected correlation functions. covariant (preserving Ward identities due charge conservation) for two correlators employed, which holds relation between correlator and susceptibility. method tested on dimensional one band Hubbard model. Results are compared with exact diagonalization,...

Fundamental equalities, such as the Ward-Takahashi identity (WTI) and fluctuation-dissipation theorem (FDT), are important in calculation of response functions, which defined variations physical quantities with respect to external sources. In this paper, formalism calculating functions according their original definitions is presented, based on generalized $GW$ (GGW) method was developed for electronic systems including spin-dependent interaction. This automatically ensures FDT,...

The Fermi surface topology in the two-dimensional Hubbard model is particularly relevant for high-temperature superconductors, whereas its theoretical research encounters with difficulty of analytical continuation problem. To this end, we proposed concept momentum-dependent compressibility, defined as variation momentum distribution function respect to chemical potential. determined by maximum compressibility nearly identical weakly and intermediate coupling regions according our numerical...

We propose an exactly solvable lattice model, motivated by the significance of extended Hubbard model ($t-U-V$ model) and inspired work Hatsugai Kohmoto. The ground state exhibits a diverse array phases, including charge-$4e$ condensed phase, charge-$2e$ superconducting half-filled insulating quarter-filled metallic unconventional phase. Among them, phase could be particular significance, for coexistence electrons pairs at zero energy. These findings are poised to advance our understanding...

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $Φ$-derivable for Ising model at broken phase. Based these methods, we obtain critical temperature spin correlation beyond mean field theory. The spectrum of Green function obtained from our methods become gapless point, so susceptibility divergent Tc. this is fairly good in comparison with other non-cluster methods. It straightforward to extend more complicate models example continue symmetry.