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A well-known result in unconventional superconductivity is the fragility of nodal superconductors against nonmagnetic impurities. Despite this common wisdom, Bi$_2$Se$_3$-based topological superconductors have recently displayed unusual…

Superconductivity · Physics 2020-03-03 Lionel Andersen , Aline Ramires , Zhiwei Wang , Thomas Lorenz , Yoichi Ando

A material which is an insulator entirely because of interaction effects is called a correlated insulator. Examples are trans-polyacetylene and the cuprate high temperature superconductors. Whereas doping of a band insulator results in a…

Condensed Matter · Physics 2016-08-31 S. A. Kivelson , V. J. Emery

We address the origin of the Cooper pairs in high-$T_c$ cuprates and the unique nature of the superconducting (SC) condensate. Itinerant holes in an antiferromagnetic background form pairs spontaneously, without any `glue', defining a new…

Superconductivity · Physics 2018-11-07 William Sacks , Alain Mauger , Yves Noat

The zero temperature phase diagram of Cooper pairs exposed to disorder and magnetic field is found to exhibit four distinct phases: a Bose and a Fermi insulating, a metallic and a superconducting phase, respectively. The results explain the…

Superconductivity · Physics 2011-08-01 V. L. Pokrovsky , G. M. Falco , T. Nattermann

We present a theoretical framework for understanding the behavior of the normal and superconducting states of overdoped cuprate high temperature superconductors in the vicinity of the doping-tuned quantum superconductor-to-metal transition.…

Superconductivity · Physics 2021-07-12 Zi-Xiang Li , Steven A. Kivelson , Dung-Hai Lee

The effect of proximity to a Mott insulating phase on the charge transport properties of a superconductor is determined. An action describing the low energy physics is formulated and different scenarios for the approach to the Mott phase…

Strongly Correlated Electrons · Physics 2009-11-07 L. B. Ioffe , A. J. Millis

A correlated material in the vicinity of an insulator-metal transition (IMT) exhibits rich phenomenology and variety of interesting phases. A common avenue to induce IMTs in Mott insulators is doping, which inevitably leads to disorder.…

We study the doping-driven Mott metal-insulator transition for multi-orbital Hubbard models with Hund's exchange coupling at finite temperatures. As in the single-orbital Hubbard model, the transition is of first-order within dynamical mean…

Strongly Correlated Electrons · Physics 2019-08-05 Jakob Steinbauer , Luca de' Medici , Silke Biermann

We show, based on microscopic models, that fermionic band insulators with multiple bands and strong interband attraction are generically unstable towards nonzero momentum Cooper pairing leading to a pair density wave (PDW) superfluid state.…

Superconductivity · Physics 2015-05-13 Predrag Nikolic , A. A. Burkov , Arun Paramekanti

We perform a theoretical study of the leading pairing instabilities and the associated superconducting gap functions within the spin-fluctuation mediated pairing scenario in the presence of spin-orbit coupling (SOC). Focussing on iron-based…

Superconductivity · Physics 2019-09-04 Daniel D. Scherer , Brian M. Andersen

Centrosymmetric multiband superconductors which break time-reversal symmetry generically have two-dimensional nodes, i.e., Fermi surfaces of Bogoliubov quasiparticles. We show that the coupling of the electrons to the lattice always leads…

Superconductivity · Physics 2021-01-22 Carsten Timm , P. M. R. Brydon , Daniel F. Agterberg

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

In underdoped cuprates fluctuations of the phase of the superconducting order parameter play a role due to the small superfluid density. We consider the effects of phase fluctuations assuming the exchange of spin fluctuations to be the…

Superconductivity · Physics 2009-11-07 C. Timm , D. Manske , K. H. Bennemann

Cuprate high-T_c superconductors on the Mott-insulating side of "optimal doping" (with respect to the highest T_c's) exhibit enigmatic behavior in the non-superconducting state. Near optimal doping the transport and spectroscopic properties…

Cuprates exhibit exceptionally strong superconductivity. To understand why, it is essential to elucidate the nature of the electronic interactions that cause pairing. Superconductivity occurs on the backdrop of several underlying electronic…

Superconductivity · Physics 2019-03-20 Cyril Proust , Louis Taillefer

We study the two-dimensional spin-charge separated Ginzburg-Landau theory containing U(1) gauge interactions as a semi-phenomenological model describing fluctuating condensates in high temperature superconductivity. Transforming the…

Superconductivity · Physics 2009-10-31 Atsuya Kumagai , Masahiko Hayashi , Hiromichi Ebisawa

We discuss the physics of the high temperature superconductivity in hole doped copper oxide ceramics in the pseudogap region. Starting from an effective reduced Hamiltonian relevant to the dynamics of holes injected into the copper oxide…

Superconductivity · Physics 2016-08-24 Paolo Cea

High $T_c$ cuprate superconductors are characterized by two robust features: their strong electronic correlations and their intrinsic dynamical local lattice instabilities. Focusing on exclusively that latter, we picture their parent state…

Superconductivity · Physics 2023-07-19 Julius Ranninger

High-temperature superconductivity in cuprates emerges upon doping the parent Mott insulator. Robust signatures of the low-doped electronic state include a Hall carrier density that initially tracks the number of doped holes and the…

Strongly Correlated Electrons · Physics 2025-05-27 Yu-Te Hsu , Andreas Rydh , Maarten Berben , Caitlin Duffy , Alberto de la Torre , Robin S Perry , Nigel E Hussey

Quantum antiferromagnets on geometrically frustrated lattices often allow a number of unusual paramagnetic ground states. The fate of these Mott insulators upon doping is an important issue that may shed some light on the high $T_c$ cuprate…

Superconductivity · Physics 2009-11-10 Chung-Hou Chung , Yong Baek Kim