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We study the antiferromagnetic Potts model on the Poissonian Erd\"os-R\'enyi random graph. By identifying a suitable interpolation structure and an extended variational principle, together with a positive temperature second-moment analysis…

Probability · Mathematics 2015-10-07 Pierluigi Contucci , Sander Dommers , Cristian Giardina' , Shannon Starr

We study electronic structure of hole- and electron-doped Mott insulators in the two-dimensional Hubbard model to reach a unified picture for the normal state of cuprate high-Tc superconductors. By using a cluster extension of the dynamical…

Strongly Correlated Electrons · Physics 2010-10-20 Shiro Sakai , Yukitoshi Motome , Masatoshi Imada

Through the measurements of magnetic field dependence of specific heat in $La_{2-x}Sr_xCuO_4$ in zero temperature limit, we find that the nodal slope $v_\Delta$ of the superconducting gap has a very similar doping dependence of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hai-Hu Wen , Lei Shan , Xiao-Gang Wen , Yue Wang , Hong Gao , Zhi-Yong Liu , Fang Zhou , Jiwu Xiong , Wenxin Ti

We apply the recently developed slave fermion approach to study the doped Mott insulator in the one-band Hubbard and Hubbard-Heisenberg models. Our results produce several subtle features in the electron spectra and confirm the key role of…

Strongly Correlated Electrons · Physics 2023-10-19 Zhuoqing Long , Jiangfan Wang , Yi-feng Yang

We investigate the Mott transition in weakly-coupled one-dimensional (1d) fermionic chains. Using a generalization of Dynamic Mean Field Theory, we show that the Mott gap is suppressed at some critical hopping $t_{\perp}^{c2}$. The…

Strongly Correlated Electrons · Physics 2007-05-23 C. Berthod , T. Giamarchi , S. Biermann , A. Georges

Proximity to a Mott insulating phase is likely to be an important physical ingredient of a theory that aims to describe high-temperature superconductivity in the cuprates. Quantum cluster methods are well suited to describe the Mott phase.…

Strongly Correlated Electrons · Physics 2009-11-11 S. S. Kancharla , B. Kyung , D. Senechal , M. Civelli , M. Capone , G. Kotliar , A. -M. S. Tremblay

We consider an interaction-driven scenario for the two-dimensional metal-insulator transition in zero magnetic field (2D-MIT), based on melting the Wigner crystal through vacancy-interstitial pair formation. We show that the transition from…

Strongly Correlated Electrons · Physics 2008-03-07 S. Pankov , V. Dobrosavljevic

Antiferromagnetic fluctuations in two dimensions cause a decrease in spectral weight at so-called hot spots associated with the pseudogap in electron-doped cuprates. In the 2D Hubbard model, these hot spots occur when the Vilk criterion is…

Strongly Correlated Electrons · Physics 2022-06-28 C. Gauvin-Ndiaye , P. -A. Graham , A. -M. S. Tremblay

We study evolution of metals from Mott insulators in the carrier-doped 2D Hubbard model using a cluster extension of the dynamical mean-field theory. While the conventional metal is simply characterized by the Fermi surface (pole of the…

Strongly Correlated Electrons · Physics 2009-11-13 Shiro Sakai , Yukitoshi Motome , Masatoshi Imada

Despite often being dismissively described as exhibiting conventional Fermi-liquid-like behaviour, heavily overdoped high-Tc cuprates sport several unexpected features. Thermodynamic properties expected to be roughly constant with doping…

Superconductivity · Physics 2020-08-12 J. G. Storey

How a Mott insulator develops into a weakly coupled metal upon doping is a central question to understanding various emergent correlated phenomena. To analyze this evolution and its connection to the high-$T_c$ cuprates, we study the…

Based on a Fermi liquid model, we present several results on the normal state of the optimally doped and overdoped cuprate superconductors. Our main result is an analytic demonstration, backed by self-consistent numerical calculations, of…

Condensed Matter · Physics 2007-05-23 George Kastrinakis

Cluster perturbation theory is applied to the two-dimensional Hubbard $t-t'-t''-U$ model to obtain doping and temperature dependent electronic spectral function with $4 \times 4$ and 12-site clusters. It is shown that evolution of the…

Strongly Correlated Electrons · Physics 2020-03-27 Valerii Kuz'min , Maxim Visotin , Sergey Nikolaev , Sergey Ovchinnikov

We demonstrate that most features ascribed to strong correlation effects in various spectroscopies of the cuprates are captured by a calculation of the self-energy incorporating effects of spin and charge fluctuations. The self energy is…

Superconductivity · Physics 2013-03-19 Tanmoy Das , R. S. Markiewicz , A. Bansil

Interplay between the Mott transition and the multicritical phenomenon of d-wave superconductivity (SC) and antiferromagnetism (AF) is studied theoretically. We describe the Mott transition, which is analogous to a liquid-gas phase…

Strongly Correlated Electrons · Physics 2009-11-10 Shigeki Onoda , Naoto Nagaosa

We study the relationship between the pseudogap and Fermi-surface topology in the two-dimensional Hubbard model by means of the cellular dynamical mean-field theory. We find two possible mean-field metallic solutions on a broad range of…

Strongly Correlated Electrons · Physics 2018-02-12 Helena Braganca , Shiro Sakai , M. C. O. Aguiar , Marcello Civelli

Magnetic correlations of doped Mott insulators hold the key to the unusual characteristics of many quantum materials. Recent experiments with ultracold atoms in optical lattices have provided new information about the magnetic properties of…

Strongly Correlated Electrons · Physics 2026-04-17 Radu Andrei , Ivan Morera , Jonathan B. Curtis , Immanuel Bloch , Eugene Demler

The pseudogap phase in the cuprates is a most unusual state of matter: it is a metal, but its Fermi surface is broken up into disconnected segments known as Fermi arcs. Using angle resolved photoemission spectroscopy, we show that the…

Experiments on layered materials call for a study of the influence of short-range spin correlations on the Mott transition. To this end, we solve the cluster dynamical mean-field equations for the Hubbard model on a plaquette with…

Strongly Correlated Electrons · Physics 2010-06-23 G. Sordi , K. Haule , A. -M. S. Tremblay

Recent realization of well-controlled quantum simulators of the triangular-lattice Fermi-Hubbard model, including the triangular optical lattices loaded with ultracold Fermions and the heterostructures of the transition-metal…

Quantum Gases · Physics 2022-09-15 Shuai A. Chen , Qianqian Chen , Zheng Zhu