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We study the weak-coupling limit of the $t-t^\prime-U$ Hubbard model on a two-dimensional square lattice using a direct perturbative approach. Aided by symbolic computational tools, we compute the longitudinal density-density correlation…

Strongly Correlated Electrons · Physics 2022-08-10 B. D. E. McNiven , Hanna Terletska , G. T. Andrews , J. P. F. LeBlanc

Recent experiments revealed a striking asymmetry in the phase diagram of the high temperature cuprate superconductors. The correlation effect seems strong in the hole-doped systems and weak in the electron-doped systems. On the other hand,…

Superconductivity · Physics 2017-10-16 Ryota Mizuno , Masayuki Ochi , Kazuhiko Kuroki

A quantum critical point (QCP), separating the non-Fermi liquid region from the Fermi liquid, exists in the phase diagram of the 2D Hubbard model [Vidhyadhiraja et. al, Phys. Rev. Lett. 102, 206407 (2009)]. Due to the vanishing of the…

Strongly Correlated Electrons · Physics 2015-03-19 K. -S. Chen , S. Pathak , S. -X. Yang , S. -Q. Su , D. Galanakis , K. Mikelsons , M. Jarrell , J. Moreno

We study the 2D Hubbard model using the Composite Operator Method within a novel three-pole approximation. Motivated by the long-standing experimental puzzle of the single-particle properties of the underdoped cuprates, we include in the…

Strongly Correlated Electrons · Physics 2018-05-01 Andrea Di Ciolo , Adolfo Avella

In two dimensions the non-interacting density of states displays a Van Hove singularity (VHS) which introduces an intrinsic electron-hole asymmetry, absent in three dimensions. We show that due to this VHS the strong-coupling analysis of…

We consider the two-dimensional t-t' Hubbard model with the Fermi level being close to the van Hove singularities. The phase diagram of the model is discussed. In a broad energy region the self-energy at the singularity points has a…

Strongly Correlated Electrons · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin

Single-particle excitation spectra of the two-dimensional Hubbard model on the square lattice near half filling and at zero temperature are investigated on the basis of the self-consistent projection operator method. The method guarantees a…

Strongly Correlated Electrons · Physics 2009-11-13 Yoshiro Kakehashi , Peter Fulde

We use a diagrammatic approach to study low energy physics of a two dimensional electron system where the Fermi level is near van-Hove singularies in the energy spectrum. We find that in most regions of the $\epsilon_F-T$ phase diagram the…

Strongly Correlated Electrons · Physics 2009-10-31 D. Menashe , B. Laikhtman

The properties of correlated electron materials are often intricately linked to Van Hove singularities (VHS) in the vicinity of the Fermi energy. The class of these VHS is of great importance, with higher-order ones -- with power-law…

Within the weak-coupling BCS scheme we derive a general form of the coefficients in the Ginzburg-Landau expansion of the free energy of a superconductor for the case of a Fermi level close to a van Hove singularity (VHS). A simple…

Superconductivity · Physics 2009-11-07 T. Mishonov , S. -L. Drechsler , E. Penev

The Fermi surface (FS) of an extended $d-p$ Hubbard model is investigated by a two-pole approximation in both situations with hole and electron doping. Using the factorization procedure proposed by Beenen and Edwards, superconductivity with…

Superconductivity · Physics 2007-05-23 E. J. Calegari , S. G. Magalhaes , A. A. Gomes

We study the effect of electron-electron interaction on the one-particle density of states (\emph{DOS}) $\rho^{(d)}(\epsilon,T)$ of low-dimensional disordered metals near Fermi energy within the framework of the finite temperature…

Strongly Correlated Electrons · Physics 2015-05-14 E. Sasioglu , S. Caliskan , M. Kumru

Surface Van Hove singularity (SVHS), defined as the surface states near the Fermi level (EF) in low-dimensional systems, triggers exciting physical phenomena distinct from bulk. We herein explore theoretically the potential role of SVHS in…

Materials Science · Physics 2021-09-14 Liangliang Liu , Chunyan Wang , Liying Zhang , Chengyan Liu , Chunyao Niu , Zaiping Zeng , Dongwei Ma , Yu Jia

There is growing evidence that the hole-doped single-band Hubbard and $t$-$J$ models do not have a superconducting ground state reflective of the high-temperature cuprate superconductors but instead have striped spin- and charge-ordered…

Strongly Correlated Electrons · Physics 2023-05-26 Peizhi Mai , Nathan S. Nichols , Seher Karakuzu , Feng Bao , Adrian Del Maestro , Thomas A. Maier , Steven Johnston

Van-Hove (vH) singularities in the vicinity of the Fermi level facilitate the emergence of electronically mediated Fermi surface instabilities. This is because they provide a momentum-localized enhancement of density of states promoting…

We study the instability of the metallic state towards the formation of a new ground state in graphene doped near the van Hove singularity. The system is described by the Hubbard model and a field theoretical approach is used to calculate…

Mesoscale and Nanoscale Physics · Physics 2011-09-16 D. Makogon , R. van Gelderen , R. Roldán , C. Morais Smith

The Hall coefficient (R_H) of high-Tc cuprates in the normal state shows the striking non-Fermi liquid behavior: R_H follows a Curie-Weiss type temperature dependence, and |R_H|>>1/|ne| at low temperatures in the under-doped compounds.…

Superconductivity · Physics 2009-10-31 Hiroshi Kontani , Kazuki Kanki , Kazuo Ueda

We investigate the dynamical properties of Sr$_2$RuO$_4$ at zero and very low temperature using density functional theory plus dynamical mean-field theory with an exact diagonalization solver. By considering rotationally invariant local…

Strongly Correlated Electrons · Physics 2020-11-12 Hyeong Jun Lee , Choong H. Kim , Ara Go

Recent angle-resolved photoemission (ARPES) experiments have indicated that the electronic dispersion in some of the cuprates possesses an extended saddle point near the Fermi level which gives rise to a density of states that diverges like…

Condensed Matter · Physics 2009-10-22 R. J. Radtke , M. R. Norman

The "states-non-conserving" fermion density of states (DOS), deduced from the specific heat of hole-doped cuprates, could arise from a Kondo or heavy fermion-like DOS being suppressed by anti-ferromagnetic spin fluctuations. The large Fermi…

Superconductivity · Physics 2022-01-12 J. R. Cooper