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The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

Strongly Correlated Electrons · Physics 2009-11-10 Jan Brinckmann , Peter Woelfle

We compute transport and thermodynamic properties of a two-band spin-fermion model describing itinerant fermions in two dimensions interacting via $Z_2$ antiferromagnetic quantum critical fluctuations by means of a sign-problem-free quantum…

Strongly Correlated Electrons · Physics 2023-11-14 Rafael M. P. Teixeira , Catherine Pépin , Hermann Freire

When a metal undergoes a continuous quantum phase transition, non-Fermi liquid behaviour arises near the critical point. It is standard to assume that all low-energy degrees of freedom induced by quantum criticality are spatially extended,…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , Silvio Rabello , Kevin Ingersent , Lleweilun Smith

In this paper, based on the $ AdS_{2}/CFT_{1} $ prescription, we explore the low frequency behavior of quantum two point functions for a special class of strongly coupled CFTs in one dimension whose dual gravitational counterpart consists…

High Energy Physics - Theory · Physics 2015-07-01 Dibakar Roychowdhury

Quantum critical fluctuations may prove to play an instrumental role in the formation of unconventional superconductivity. Here, we show that the characteristic scaling of a marginal Fermi liquid is present in inelastic light scattering…

A quantum critical point (QCP) is a singularity in the phase diagram arising due to quantum mechanical fluctuations. The exotic properties of some of the most enigmatic physical systems, including unconventional metals and superconductors,…

Strongly Correlated Electrons · Physics 2014-05-13 P. Merchant , B. Normand , K. W. Krämer , M. Boehm , D. F. McMorrow , Ch. Rüegg

Critical thermodynamics close to a metamagnetic quantum critical endpoint (QCEP) in a metal is discussed within the framework of spin-fluctuation theory. We analyze the effective potential for the Ising order parameter that is renormalized…

Strongly Correlated Electrons · Physics 2015-06-15 Mario Zacharias , Markus Garst

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

We calculate the temperature dependence of conductivity due to interaction correction for a disordered itinerant electron system close to a ferromagnetic quantum critical point which occurs due to a spin density wave instability. In the…

Strongly Correlated Electrons · Physics 2009-11-13 I. Paul

I review a variety of model systems and their quantum critical points, motivated by recent experimental and theoretical developments. These are used to present a general discussion of the non-zero temperature crossovers in the vicinity of a…

Strongly Correlated Electrons · Physics 2015-05-14 Subir Sachdev

A fundamental problem posed from the study of correlated electron compounds, of which heavy-fermion systems are prototypes, is the need to understand the physics of states near a quantum critical point (QCP). At a QCP, magnetic order is…

A simple generalization of the theory of crossovers in classical-criticality to quantum-criticality gives that, a Heisenberg model with a small anisotropy favoring planar order has a cross-over towards the fixed point of the xy model in the…

Strongly Correlated Electrons · Physics 2025-02-11 Chandra M. Varma

In the high temperature cuprate superconductors, the pervasiveness of anomalous electronic transport properties suggests that violation of conventional Fermi liquid behavior is closely tied to superconductivity. In other classes of…

Strongly Correlated Electrons · Physics 2012-06-13 N. P. Butch , K. Jin , K. Kirshenbaum , R. L. Greene , J. Paglione

We have performed ^{31}P-NMR measurements on Ce(Ru_{1-x}Fe_{x})PO in order to investigate ferromagnetic (FM) quantum criticality, since heavy-fermion (HF) ferromagnet CeRuPO with a two-dimensional structure turns to a HF paramagnet by an…

Strongly Correlated Electrons · Physics 2013-02-05 Shunsaku Kitagawa , Kenji Ishida , Tetsuro Nakamura , Masanori. Matoba , annd Yoichi Kamihara

We present a theory of the scaling behavior of the thermodynamic, transport and dynamical properties of a three-dimensional metal governed by $d$-dimensional fluctuations at a quantum critical point, where the electron quasiparticle…

Strongly Correlated Electrons · Physics 2017-03-29 Peter Wölfle , Jörg Schmalian , Elihu Abrahams

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

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

Quantum-mechanical fluctuations between competing phases at $T=0$ induce exotic finite-temperature collective excitations that are not described by the standard Landau Fermi liquid framework. These excitations exhibit anomalous temperature…

Metallic quantum criticality is frequently discussed as a source for non-Fermi liquid behavior, but controlled theoretical treatments are scarce. Here we identify and study a novel magnetic quantum critical point in a two-dimensional…

Strongly Correlated Electrons · Physics 2023-10-10 Bernhard Frank , Zi Hong Liu , Fakher F. Assaad , Matthias Vojta , Lukas Janssen

Noncollinear magnetic moments in antiferromagnets (AFM) lead to a complex behavior of electrical transport, even to a decreasing resistivity due to an increasing temperature. Proper treatment of such phenomena is required for understanding…

Materials Science · Physics 2020-06-19 David Wagenknecht , Karel Výborný , Karel Carva , Ilja Turek