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We present a theory of the scaling behavior of the thermodynamic, transport and dynamical properties of a three-dimensional metal at an antiferromagnetic critical point. We show how the critical spin fluctuations at the AFM wavevector q=Q…

Strongly Correlated Electrons · Physics 2014-07-16 Elihu Abrahams , Joerg Schmalian , Peter Woelfle

We investigate the stability of the N\'eel quantum critical point of two-dimensional quantum antiferromagnets, described by a non-linear $\sigma$ model (NL$\sigma$M), in the presence of a Kondo coupling to $N_f$ flavours of two-component…

Strongly Correlated Electrons · Physics 2023-02-09 Huanzhi Hu , Jennifer Lin , Mikolaj D. Uryszek , Frank Krüger

We analyze the behavior of interacting fermions near a ferromagnetic Stoner instability. We show that the Landau damping of the spin susceptibility is a relevant perturbation near a ferromagnetic quantum-critical point (FQCP). We argue…

Strongly Correlated Electrons · Physics 2016-08-31 Andrey V. Chubukov

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

The dynamical spin susceptibility is studied in the magnetically-disordered phase of heavy-Fermion systems near the antiferromagnetic quantum phase transition. In the framework of the $S=1/2$ Kondo lattice model, we introduce a perturbative…

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

We consider a two dimensional itinerant antiferromagnet near a quantum critical point. We show that, contrary to conventional wisdom, fermionic excitations in the ordered state are not the usual Fermi liquid quasiparticles. Instead, down to…

Strongly Correlated Electrons · Physics 2009-11-10 I. Vekhter , A. V. Chubukov

Feedback effects due to spin fluctuation induced precursors in the fermionic quasiparticle spectrum are taken into account in the description of a quantum critical point of itinerant spin systems. A correlation length dependent spin damping…

Strongly Correlated Electrons · Physics 2007-05-23 Joerg Schmalian

We study the stability of the Quantum Critical Point (QCP) for itinerant ferromagnets commonly described by the Hertz-Millis-Moriya (HMM) theory. We argue that in $D \leq 3$, long-range spatial correlations associated with the Landau…

Strongly Correlated Electrons · Physics 2011-04-04 Andrey V. Chubukov , Catherine Pépin , Jerome Rech

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

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

Quantum critical points often arise in metals perched at the border of an antiferromagnetic order. The recent observation of singular and dynamically scaling charge conductivity in an antiferromagnetic quantum critical heavy fermion metal…

Strongly Correlated Electrons · Physics 2020-01-22 Ang Cai , Zuodong Yu , Haoyu Hu , Stefan Kirchner , Qimiao Si

In this work we revisit itinerant ferromagnetism in 2D and 3D electron gases with arbitrary spin-orbit splitting and strong electron-electron interaction. We identify the resonant scattering processes close to the Fermi surface that are…

Strongly Correlated Electrons · Physics 2023-01-03 Dmitry Miserev , Daniel Loss , Jelena Klinovaja

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying…

Strongly Correlated Electrons · Physics 2015-11-10 C. M. Varma

We present numerically exact results from sign-problem free quantum Monte Carlo simulations for a spin-fermion model near an $O(3)$ symmetric antiferromagnetic (AFM) quantum critical point. We find a hierarchy of energy scales that emerges…

Strongly Correlated Electrons · Physics 2020-04-08 Carsten Bauer , Yoni Schattner , Simon Trebst , Erez Berg

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

The dynamical spin susceptibility is studied in the magnetically-disordered phase of heavy-Fermion systems near the antiferromagnetic quantum phase transition. In the framework of the $S=1/2$ Kondo lattice model, we introduce a perturbative…

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

Hertz-Moriya-Millis theory with dynamical critical exponent $z = 2$ has been proposed to describe antiferromagnetic quantum criticality in itinerant electron systems. In this study we show that the dynamical critical exponent changes from…

Strongly Correlated Electrons · Physics 2012-08-29 Ki-Seok Kim

We consider spin and electronic properties of itinerant electron systems, described by the spin-fermion model, near the antiferromagnetic critical point. We expand in the inverse number of hot spots in the Brillouin zone, N and present the…

Superconductivity · Physics 2009-10-31 Ar. Abanov , Andrey V. Chubukov

One of the challenges in strongly correlated electron systems, is to understand the anomalous electronic behavior that develops at an antiferromagnetic quantum critical point (QCP), a phenomenon that has been extensively studied in heavy…

Strongly Correlated Electrons · Physics 2019-05-30 Yashar Komijani , Piers Coleman

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

Disordered Systems and Neural Networks · Physics 2016-08-31 C. Pich , A. P. Young
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