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In the quest for superconductors with high transition temperatures (T$_\mathrm{c}$s), one emerging motif is that unconventional superconductivity is enhanced by fluctuations of a broken-symmetry phase near a quantum-critical point. While…

We, basing on the quantum critical point (QCP)($p = 0.19 $), propose a phenomenological description on high-$T_c$ superconductivity in the cuprate superconductors, and suggest it divides the whole doping region into two parts: the…

Superconductivity · Physics 2011-08-23 Jian-Feng Cheng

The Fermi surface as a contour of the gapless quasiparticle excitation in momentum space is studied based on a mean-field theory of the doped Mott insulator, where the underlying pseudogap phase is characterized by a two-component…

Strongly Correlated Electrons · Physics 2024-01-03 Jia-Xin Zhang , Zheng-Yu Weng

Near zero temperature, quantum magnetism can non-trivially arise from short-range interactions, but the occurrence of magnetic order depends crucially on the interplay of interactions, lattice geometry, dimensionality and doping. Even…

Quantum Gases · Physics 2017-05-03 J. H. Drewes , L. A. Miller , E. Cocchi , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

We have investigated the evolution of the electronic properties of the t-t'-U Hubbard model with hole doping and temperature. Due to the shape of the Fermi surface, scattering from short wavelength spin fluctuations leads to strongly…

Strongly Correlated Electrons · Physics 2008-02-03 Joachim Altmann , Wolfram Brenig , Arno P. Kampf

Implementing an improved method for analytic continuation and working with imaginary-time correlation functions computed using quantum Monte Carlo simulations, we resolve the single-particle dispersion relation and the density of states…

Strongly Correlated Electrons · Physics 2025-08-08 Gabe Schumm , Shiwei Zhang , Anders W. Sandvik

An essentially exact solution of the infinite dimensional Hubbard model is made possible by using a self-consistent mapping of the Hubbard model in this limit to an effective single impurity Anderson model. Solving the latter with quantum…

Condensed Matter · Physics 2009-10-22 M. Jarrell , Thomas Pruschke

Many correlated materials display a quantum critical point between a paramagnetic and a SDW state. The SDW wave vector connects points (hot spots) on opposite sides of the Fermi surface. The Fermi velocities at these pairs of points are in…

Strongly Correlated Electrons · Physics 2012-10-15 Dominic Bergeron , Debanjan Chowdhury , Matthias Punk , Subir Sachdev , A. -M. S. Tremblay

The competition between d-wave superconductivity (SC) and antiferromagnetism (AF) in the high-Tc cuprates is investigated by studying the hole- and electron-doped two-dimensional Hubbard model with a recently proposed variational…

Superconductivity · Physics 2007-05-23 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

Within the phase fluctuation model for the pseudogap state of cuprate superconductors we identify a novel statistical "Berry phase" interaction between the nodal quasiparticles and fluctuating vortices. The effective action describing this…

Superconductivity · Physics 2007-05-23 M. Franz , Z. Tesanovic

High-$T_c$ cuprates are characterized by strong spin fluctuations, which give rise to antiferromagnetic and pseudogap phases and may be key to the high superconducting critical temperatures observed in these materials. Experimental studies…

Strongly Correlated Electrons · Physics 2025-03-18 Yingze Su , Hui Li , Huaqing Huang , Dingping Li

Whether a quantum critical point (QCP) demarcates the end of the pseudogap (PG) regime in hole-doped cuprates at a singular doping level $p^* \approx 0.19$ remains an open question. A crucial part of this puzzle is how the carrier density…

The low-temperature properties of the two-dimensional attractive Hubbard model are strongly influenced by the fermion density. Away from half-filling, there is a finite-temperature transition to a phase with s-wave pairing order. However,…

Quantum Gases · Physics 2012-02-20 E. Assmann , S. Chiesa , G. G. Batrouni , H. G. Evertz , R. T. Scalettar

We discuss the effects of a quantum critical point located nearby optimum doping and related to local charge segregation (stripe phase). The fluctuations in the critical region produce at the same time a strong pairing mechanism and a…

Strongly Correlated Electrons · Physics 2009-10-31 C. Castellani , C. Di Castro , M. Grilli

The quantum phase transitions of metals have been extensively studied in the rare-earth "heavy electron" materials, the cuprates, and related compounds. The Fermi surface of the metal often has different shapes in the states well away from…

Strongly Correlated Electrons · Physics 2007-05-23 Ribhu K. Kaul , Alexei Kolezhuk , Michael Levin , Subir Sachdev , T. Senthil

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the nonequilibrium properties of a Fermi liquid. We apply an interaction quench…

Strongly Correlated Electrons · Physics 2015-05-13 Michael Moeckel , Stefan Kehrein

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

One of the distinctive features of hole-doped cuprate superconductors is the onset of a `pseudogap' below a temperature $T^*$. Recent experiments suggest that there may be a connection between the existence of the pseudogap and the topology…

Strongly Correlated Electrons · Physics 2018-05-30 Wei Wu , Mathias S. Scheurer , Shubhayu Chatterjee , Subir Sachdev , Antoine Georges , Michel Ferrero

Underdoped cuprate superconductors are believed to be strongly correlated with electronic systems with small phase stiffness leading to a large phase fluctuation region is known as the pseudogap state. With increasing doping it is generally…

Superconductivity · Physics 2025-07-03 Hércules H. Santana and , E. V. L. de Mello
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