Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point

  title={Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point},
  author={Samuel Lederer and Yoni Schattner and Erez Berg and Steven A. Kivelson},
  journal={Proceedings of the National Academy of Sciences},
  pages={4905 - 4910}
Significance It has been conjectured that many properties of highly correlated materials, including high-temperature superconductivity, may arise from proximity to a metallic quantum critical point. However, the nature of quantum critical phenomena in metals is incompletely understood. Using numerically exact quantum Monte Carlo methods, we simulated a model that can be tuned through a metallic quantum critical point and observed behaviors that are strikingly reminiscent of experiments. Among… 

Figures and Tables from this paper

Monte Carlo Studies of Quantum Critical Metals

Metallic quantum critical phenomena are believed to play a key role in many strongly correlated materials, including high-temperature superconductors. Theoretically, the problem of quantum

Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations

The origin of the pseudogap behavior, found in many high-Tc superconductors, remains one of the greatest puzzles in condensed matter physics. One possible mechanism is fermionic incoherence, which

Comparison of temperature and doping dependence of elastoresistivity near a putative nematic quantum critical point

Strong electronic nematic fluctuations have been discovered near optimal doping for several families of Fe-based superconductors, motivating the search for a possible link between these fluctuations,

Thermal effects in non-Fermi liquid superconductivity

We revisit the interplay between superconductivity and quantum criticality when thermal effects from virtual static bosons are included. These contributions, which arise from an effective theory

Superconductivity near a nematoelastic quantum critical point

We study the pairing instability of a two-dimensional metallic system induced by Ising-nematic quantum fluctuations in the presence of an unavoidable relevant coupling of the nematic order parameter

Phase transition with trivial quantum criticality in an anisotropic Weyl semimetal

When a metal undergoes continuous quantum phase transition, the correlation length diverges at the critical point and the quantum fluctuation of order parameter is described by a gapless bosonic

Quenched nematic criticality and two superconducting domes in an iron-based superconductor

The nematic electronic state and its associated critical fluctuations have emerged as a potential candidate for the superconducting pairing in various unconventional superconductors. However, in most

Superconductivity and quantum criticality linked by the Hall effect in a strange metal

Many unconventional superconductors exhibit a common set of anomalous charge transport properties that characterize them as ‘strange metals’, which provides hope that there is a single theory that

Identification of Non-Fermi Liquid Physics in a Quantum Critical Metal via Quantum Loop Topography.

It is demonstrated that a combination of sign-problem-free quantum Monte Carlo sampling and quantum loop topography, a physics-inspired machine-learning approach, can map out the emergence of non-Fermi liquid physics in the vicinity of a quantum critical point (QCP) with little prior knowledge.

Electrical resistivity across a nematic quantum critical point

The observation of T-linear resistivity at a nematic critical point raises the question of whether strong nematic fluctuations play a part in the transport properties of other ‘strange metals’, in which T- linear resistivity is observed over an extended regime in their respective phase diagrams.



A controlled expansion for certain non-Fermi liquid metals

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts

Cooper pairing in non-Fermi liquids

States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of

Superconductivity and nematic fluctuations in a model of doped FeSe monolayers: Determinant quantum Monte Carlo study

In contrast to bulk FeSe, which exhibits nematic order and low temperature superconductivity, atomic layers of FeSe reverse the situation, having high temperature superconductivity appearing

Lattice Effects on Nematic Quantum Criticality in Metals.

It is shown that including this coupling leads to entirely different conclusions because the critical fluctuations are mostly cut off by the noncritical lattice shear modes, and these predictions are relevant for the iron-based superconductors.

Nonperturbative emergence of non-Fermi-liquid behavior in d=2 quantum critical metals

Landau theory of Fermi liquids is the foundational concept behind our understanding of conventional metals. Its basic postulate is that the low-energy physics can be described by weakly interacting

Nature of the effective interaction in electron-doped cuprate superconductors: A sign-problem-free quantum Monte Carlo study

Superconductivity is an emergent phenomena in the sense that the energy scale associated with Cooper pairing is generically much lower than the typical kinetic energy of electrons. Addressing the

Ising nematic quantum critical point in a metal: a Monte Carlo study

The Ising nematic quantum critical point (QCP) associated with the zero temperature transition from a symmetric to a nematic {\it metal} is an exemplar of metallic quantum criticality. We have

Transport near the Ising-nematic quantum critical point of metals in two dimensions

We consider two-dimensional metals near a Pomeranchuk instability which breaks ${90}^{\ensuremath{\circ}}$ lattice rotation symmetry. Such metals realize strongly coupled non-Fermi liquids with

Quantum theory of a nematic Fermi fluid

We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude

Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors

Discerning the nematic connection The phase diagram of any given family of iron-based superconductors is complicated: Superconductivity competes with antiferromagnetism, with a structural transition