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The optical conductivity along and perpendicular to the planes is calculated assuming strong k-dependence of the scattering rate and the c-axis hopping parameter. Closed analytical expressions for the optical conductivy along these…

Superconductivity · Physics 2009-10-31 D. van der Marel

Understanding the physical properties of unconventional superconductors as well as of other correlated materials presents a formidable challenge. Their unusual evolution with doping, frequency, and temperature has frequently led to…

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

It has been argued that inhomogeneity generally can enhance superconductivity in the cuprate high-Tc materials. To check the validity of this claim, we study d-wave superconductivity on the checkerboard Hubbard model on a square lattice…

Superconductivity · Physics 2015-05-28 Shiladitya Chakraborty , David Sénéchal , A. -M. S. Tremblay

We investigate the optical conductivity of half-filled N-leg Hubbard ladders far into the ``deconfinement'' limit (i.e., weak Hubbard interaction and relatively strong interchain hopping). The N-leg Hubbard ladder is equivalent to an N-band…

Strongly Correlated Electrons · Physics 2007-05-23 J. Hopkinson , K. Le Hur

Optical conductivity spectra are studied for the Falicov-Kimball model with correlated hopping on the Bethe lattice. An expression for the current-current correlation function is derived using dynamical mean field theory. In the metallic…

Strongly Correlated Electrons · Physics 2018-06-27 D. A. Dobushovskyi , A. M. Shvaika

The $d$-$wave$ superconductivity is analyzed within the three-band $d$-$p$ model with the use of the diagrammatic expansion of the Guztwiller wave function method (DE-GWF). The determined stability regime of the superconducting state…

Superconductivity · Physics 2019-03-27 M. Zegrodnik , A. Biborski , M. Fidrysiak , J. Spałek

We study charge transport across the metal-insulator crossover in the half-filled two-dimensional Hubbard model, with particular emphasis on precision control. The dynamic current-current correlation function is obtained directly in the…

Strongly Correlated Electrons · Physics 2025-09-03 Youngmin Eom , Igor S. Tupitsyn , Nikolay V. Prokof'ev , Boris Svistunov , Evgeny Kozik , Aaram J. Kim

We study the electronic band-structure and transport properties of a CuO2-plane within the three-band Hubbard model. The Dynamical Mean-Field Theory (DMFT) is used to solve the many particle problem. The calculations show that the optical…

Strongly Correlated Electrons · Physics 2007-05-23 M. B. Zoelfl , Th. Maier , Th. Pruschke , J. Keller

The doping dependence of the superconducting state for the 2D one-band Hubbard Hamiltonian is determined. By using an Eliashberg-type theory, we find that the gap function $\Delta_{\bf k}$ has a $d_{x^2-y^2}$ symmetry in momentum space and…

Condensed Matter · Physics 2009-10-28 S. Grabowski , J. Schmalian , M. Langer , K. H. Bennemann

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

We explore the superconducting properties of the bilayer Hubbard model, which exhibits a high transition temperature ($T_{\rm c}$) for an $s_{\pm}$ pairing, using a cluster extension of the dynamical mean-field theory. Unlike the…

Superconductivity · Physics 2025-07-22 Yusuke Nomura , Motoharu Kitatani , Shiro Sakai , Ryotaro Arita

High temperature copper-oxide-based superconductivity is obtained by adding carriers to insulating "parent compounds". It is widely believed the parent compounds are "Mott" insulators, in which the lack of conduction arises from anomalously…

Strongly Correlated Electrons · Physics 2008-04-07 A. Comanac , L de Medici , M. Capone , A. J. Millis

A numerical method to calculate optical conductivity based on a pump-probe setup is presented. Its validity and limits are tested and demonstrated via the concrete numerical simulations on the half-filled one-dimensional extended Hubbard…

Strongly Correlated Electrons · Physics 2016-05-26 Can Shao , Takami Tohyama , Hong-Gang Luo , Hantao Lu

Theoretical ideas and experimental results concerning high temperature superconductors are reviewed. Special emphasis is given to calculations carried out with the help of computers applied to models of strongly correlated electrons…

Condensed Matter · Physics 2009-10-22 Elbio Dagotto

We measured the optical conductivity of superconducting single crystals of Ba$_{1-x}$K$_{x}$Fe$_{2}$As$_{2}$ with $x$ ranging from 0.40 (optimal doping, $T_c = 39$ K) down to 0.20 (underdoped, $T_c = 16$ K), where a magnetic order coexists…

Superconductivity · Physics 2017-09-19 B. Xu , Y. M. Dai , H. Xiao , B. Shen , H. H. Wen , X. G. Qiu , R. P. S. M. Lobo

Extensive numerical studies have demonstrated that the two-dimensional single-band Hubbard model contains much of the key physics in cuprate high-temperature superconductors. However, there is no definitive proof that the Hubbard model…

Superconductivity · Physics 2011-09-14 C. J. Jia , B. Moritz , C. -C. Chen , B. Sriram Shastry , T. P. Devereaux

We calculate the optical conductivity of the CuO double chains of PrBa$_2$Cu$_4$O$_8$ by the mean-field approximation for the coupled two-chain Hubbard model around quarter filling. We show that the $\sim$40 meV peak structure, spectral…

Strongly Correlated Electrons · Physics 2009-11-07 R. Amasaki , Y. Shibata , Y. Ohta

We derive analytical expressions for the spectral moments of the dynamical response functions of the Hubbard model using the high-temperature series expansion. We consider generic dimension $d$ as well as the infinite-$d$ limit, arbitrary…

Strongly Correlated Electrons · Physics 2026-01-16 Edward Perepelitsky , Andrew Galatas , Jernej Mravlje , Rok Žitko , Ehsan Khatami , B Sriram Shastry , Antoine Georges
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