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The quantum critical point (QCP) in $YbRh_{2}Si_{2}$ is an enigma for the itinerant view of QCP. In an alternative view, this QCP is intimately linked to the selective Mott localization of the heavy $f$ electrons. Following a perusal of…

Strongly Correlated Electrons · Physics 2008-11-25 M. S. Laad

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

Superconductivity · Physics 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov

The superconductor to insulator or metal transition in two dimensions (2D) provides a valuable platform for studying continuous quantum phase transitions (QPTs) and critical phenomena. Distinct theoretical models, including both fermionic…

The statistical mechanics of the time-reversal and inversion symmetry breaking order parameter, possibly observed in the pseudogap region of the phase diagram of the Cuprates, can be represented by the Ashkin-Teller model. We add kinetic…

Superconductivity · Physics 2009-11-11 Vivek aji , C. M. Varma

Condensed-matter community is involved in hot debate on the nature of quantum critical points (QCP) governing the low-temperature properties of heavy fermion metals. The smeared jump like behavior revealed both in the residual resistivity…

Strongly Correlated Electrons · Physics 2023-11-14 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev , Y. S. Leevik

We investigate the probability distribution of the quantum fluctuations of thermodynamic functions of finite, ballistic, phase-coherent Fermi gases. Depending on the chaotic or integrable nature of the underlying classical dynamics, on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Leboeuf , A. G. Monastra

In the vicinity of a quantum critical point, quenched disorder can lead to a quantum Griffiths phase, accompanied by an exotic power-law scaling with a continuously varying dynamical exponent that diverges in the zero-temperature limit.…

Strongly Correlated Electrons · Physics 2021-12-14 Pascal Reiss , David Graf , Amir A. Haghighirad , Thomas Vojta , Amalia I. Coldea

When a symmetry-breaking phase of matter is suppressed to a quantum critical point (QCP) at absolute zero, quantum-mechanical fluctuations proliferate. Such fluctuations can lead to unconventional superconductivity, as evidenced by the…

Superconductivity · Physics 2022-05-25 K. Ishida , Y. Onishi , M. Tsujii , K. Mukasa , M. Qiu , M. Saito , Y. Sugimura , K. Matsuura , Y. Mizukami , K. Hashimoto , T. Shibauchi

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

We numerically study a model of interacting spin-$1/2$ electrons with random exchange coupling on a fully connected lattice. This model hosts a quantum critical point separating two distinct metallic phases as a function of doping: a Fermi…

Strongly Correlated Electrons · Physics 2022-06-07 Philipp T. Dumitrescu , Nils Wentzell , Antoine Georges , Olivier Parcollet

The origin of the strange metallic behavior observed in a wide range of quantum materials is an open challenge to condensed matter physics. Historically, strange metals were uniquely associated with antiferromagnetic quantum critical points…

In high transition temperature (T_c) superconductivity, charge doping is a natural tuning parameter that takes copper oxides from the antiferromagnet to the superconducting region. In the metallic state above T_c the standard Landau's…

Superconductivity · Physics 2008-05-23 T. Shibauchi , L. Krusin-Elbaum , M. Hasegawa , Y. Kasahara , R. Okazaki , Y. Matsuda

We discuss the quantum phase transition between a quantum nematic metallic state to an electron metallic smectic state in terms of an order-parameter theory coupled to fermionic quasiparticles. Both commensurate and incommensurate smectic…

Strongly Correlated Electrons · Physics 2009-07-09 Kai Sun , Benjamin M. Fregoso , Michael J. Lawler , Eduardo Fradkin

Evidence is presented from the scaling of the Knight shift, entropy and transport properties together with the sharp peaking of condensation energy, critical currents, superfluid density and a variety of other physical properties for the…

Iridates provide a fertile ground to investigate correlated electrons in the presence of strong spin-orbit coupling. Bringing these systems to the proximity of a metal-insulator quantum phase transition is a challenge that must be met to…

Strongly Correlated Electrons · Physics 2021-05-11 Kousik Samanta , Jean C. Souza , Danilo Rigitano , Adimir I. Morales , Pascoal G. Pagliuso , Eduardo Granado

Employing the self-learning quantum Monte Carlo algorithm, we investigate the frustrated transverse-field triangle-lattice Ising model coupled to a Fermi surface. Without fermions, the spin degrees of freedom undergoes a second-order…

Strongly Correlated Electrons · Physics 2018-07-17 Zi Hong Liu , Xiao Yan Xu , Yang Qi , Kai Sun , Zi Yang Meng

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

We study a model in 2+1 dimensions composed of a Fermi surface of $N_f$ flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The $N_f\rightarrow0$ limit allows us to non-perturbatively calculate the…

Strongly Correlated Electrons · Physics 2021-03-17 Petter Säterskog

At certain quantum critical points in metals an entire Fermi surface may disappear. A crucial question is the nature of the electronic excitations at the critical point. Here we provide arguments showing that at such quantum critical points…

Strongly Correlated Electrons · Physics 2009-11-13 T. Senthil

In a number of recent experiments it has been demonstrated that in ultra-narrow superconducting channels quantum fluctuations of the order parameter, alternatively called quantum phase slips, are responsible for the finite resistance well…

Superconductivity · Physics 2015-06-05 Janne Lehtinen , Konstantin Arutyunov
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