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Quantum phase transitions play an important role in shaping the phase diagram of high-temperature cuprate superconductors. These cuprates possess intertwined orders which interact strongly with superconductivity. However, the evidence for…

We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schr\"odinger equation (CSE), our approach guides a…

Quantum Physics · Physics 2024-08-26 Samuel Warren , Yuchen Wang , Carlos L. Benavides-Riveros , David A. Mazziotti

Critical points and phase transitions are characterized by diverging susceptibilities, reflecting the tendency of the system toward spontaneous symmetry breaking. Equilibrium statistical mechanics bounds these instabilities to occur at zero…

Mesoscale and Nanoscale Physics · Physics 2019-06-03 Orazio Scarlatella , Rosario Fazio , Marco Schiró

We argue that the low- frequency quantum oscillations observed recently in the vortex state of underdoped ortho II-YBCO have the same origin as in other strongly correlated electronic systems. Superconductivity driven by strong interactions…

Superconductivity · Physics 2012-08-16 Lev P. Gor'kov

We present a valence transition model for electron- and hole-doped cuprates, within which there occurs a discrete jump in ionicity Cu$^{2+} \to$ Cu$^{1+}$ upon doping, at or near optimal doping in the electron-doped compounds and at the…

Strongly Correlated Electrons · Physics 2018-12-05 Sumit Mazumdar

The intrinsic structural metastability in cuprate high T$_c$ materials, evidenced in a checker-board domain structure of the CuO$_2$ planes, locally breaks translational and rotational symmetry. Dynamical charge - deformation fluctuations…

Superconductivity · Physics 2010-01-21 J. Ranninger , T. Domanski

Metallic quantum criticality is among the central theme in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under calling. In this work, we develop state-of-art…

Strongly Correlated Electrons · Physics 2019-08-13 Zi Hong Liu , Gaopei Pan , Xiao Yan Xu , Kai Sun , Zi Yang Meng

There continues to be enormous interest in the BCS to BEC transition as there still is no exact theory. We recently reported a revealing reinterpretation of the condensed phase Boson-Fermion Model (BFM) by comparing it to a cold atom…

Superconductivity · Physics 2008-04-28 Richard H. Squire , Norman H. March

We consider the fermionic quantum criticality of anisotropic nodal point semimetals in $d = d_L + d_Q$ spatial dimensions that disperse linearly in $d_L$ dimensions, and quadratically in the remaining $d_Q$ dimensions. When subject to…

Strongly Correlated Electrons · Physics 2020-11-25 Mikolaj D. Uryszek , Frank Krüger , Elliot Christou

The occurrence of high-T_c superconductivity in systems including the cuprates and the iron-based superconductors, is known to coincide with the existence of anomalous normal-state properties which have been associated with quantum…

Superconductivity · Physics 2012-07-31 Josef Ashkenazi , Neil F. Johnson

It is proposed that Fermi-surface reconstruction in electron-doped Ln_{2-x}Ce_xCuO_4 (Ln = Pr, Nd) and in hole-doped YBa_2Cu_3O_{6+y} and YBa_2Cu_4O_8 occurs when the Fermi arcs extend into the second Brillouin zone (BZ). The criterion…

General Physics · Physics 2017-05-10 Manfred Bucher

The quantum critical fluctuations of the time-reversal breaking order parameter which is observed in the pseudogap regime of the Cuprates are shown to couple to the lattice equivalent of the local angular momentum of the fermions. Such a…

Superconductivity · Physics 2016-12-28 Vivek Aji , Arkady Shekhter , Chandra Varma

We develop a strong-coupling perturbation scheme for a generic Hubbard model around a half-filled particle-hole-symmetric reference system, which is free from the fermionic sign problem. The approach is based on the lattice determinantal…

Strongly Correlated Electrons · Physics 2026-05-15 Sergei Iskakov , Mikhail I. Katsnelson , Alexander I. Lichtenstein

We discuss a notion of quantum critical exponents in open quantum many-body systems driven by quantum noise. We show that in translationally invariant quantum lattice models undergoing quasi-local Markovian dissipative processes, mixed…

Quantum Physics · Physics 2010-12-23 J. Eisert , T. Prosen

We study a two-dimensional atomic mixture of bosons and fermions cooled into their quantum degenerate states and subject to an optical lattice. The optical lattice provides van Hove singularities in the fermionic density of states. We find…

Soft Condensed Matter · Physics 2009-11-10 H. P. Büchler , G. Blatter

We investigate the ground state phase diagram of an extended Hubbard model with $\pi$-flux hopping term at half-filling on a square lattice, with unbiased large-scale auxiliary-field quantum Monte Carlo simulations. As a function of…

Strongly Correlated Electrons · Physics 2022-08-05 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Yang Qi

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

We theoretically study the de Haas-van Alphen (dHvA) oscillations in the system with changing the topology of the Fermi surface (the Lifshitz transition) by electron dopings. We employ the two-dimensional tight binding model for…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Keita Kishigi , Yasumasa Hasegawa

Spinless fermions on a honeycomb lattice provide a minimal realization of lattice Dirac fermions. Repulsive interactions between nearest neighbors drive a quantum phase transition from a Dirac semimetal to a charge-density-wave state…

Strongly Correlated Electrons · Physics 2014-10-09 Lei Wang , Philippe Corboz , Matthias Troyer

We report the observation of quantum oscillations in the underdoped cuprate superconductor YBa2Cu4O8 using a tunnel-diode oscillator technique in pulsed magnetic fields up to 85T. There is a clear signal, periodic in inverse field, with…

Superconductivity · Physics 2008-02-04 E. A. Yelland , J. Singleton , C. H. Mielke , N. Harrison , F. F. Balakirev , B. Dabrowski , J. R. Cooper