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At sufficiently low temperatures, interacting electron systems tend to develop orders. Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where fluctuations prevent the highly entangled quantum matter to an ordered…

Strongly Correlated Electrons · Physics 2022-09-30 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Yang Qi

Quantum phase transitions (QPTs) arise as a result of competing interactions in a quantum many-body system. Kondo lattice models, containing a lattice of localized magnetic moments and a band of conduction electrons, naturally feature such…

Strongly Correlated Electrons · Physics 2015-05-20 Qimiao Si

We discuss the form of the damping of magnetic excitations in a metal near a ferromagnetic instability. The paramagnon theory predicts that the damping term should have the form $\Omega/\Gamma (q)$ with $\Gamma (q) \propto q$ (the Landau…

Strongly Correlated Electrons · Physics 2015-06-17 Andrey V. Chubukov , Joseph J. Betouras , Dmitry V. Efremov

The standard description of quantum critical points takes into account only fluctuations of the order parameter, and treats quantum fluctuations as extra dimensions of classical fluctuations. This picture can break down in a qualitative…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

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 construct a quantum system of spherical spins with a continuous local symmetry. The model is exactly soluble in the thermodynamic limit and exhibits a number of interesting properties. We show that the local symmetry is spontaneously…

High Energy Physics - Theory · Physics 2015-02-18 Pedro R. S. Gomes , P. F. Bienzobaz

We study a driven, spin-orbit coupled fermionic system in a lattice at the resonant regime where the drive frequency equals the Hubbard repulsion, for which non-trivial constrained dynamics emerge at fast timescales. An effective…

Quantum Physics · Physics 2019-10-02 Mikhail Mamaev , Itamar Kimchi , Michael A. Perlin , Rahul M. Nandkishore , Ana Maria Rey

We consider the two-dimensional (2D) quantum Heisenberg antiferromagnet at zero temperature with two types of locally frustrating perturbations - an isolated ferromagnetic bond (FMB) and a quantum impurity spin, coupled symmetrically to the…

Strongly Correlated Electrons · Physics 2009-10-30 V. N. Kotov , J. Oitmaa , O. Sushkov

We report the first numerical identification of a locally quantum critical point, at which the criticality of the local Kondo physics is embedded in that associated with a magnetic ordering. We are able to numerically access the quantum…

Strongly Correlated Electrons · Physics 2009-11-07 D. R. Grempel , Qimiao Si

Electric resistivity, specific heat, magnetic susceptibility, and inelastic neutron scattering experiments were performed on a single crystal of the heavy fermion compound Ce(Ni$_{0.935}$Pd$_{0.065}$)$_2$Ge$_2$ in order to study the spin…

We explore the ferromagnetic quantum critical point in a three-dimensional semimetallic system with upward- and downward-dispersing bands touching at the Fermi level. Evaluating the static spin susceptibility to leading order in the…

Strongly Correlated Electrons · Physics 2015-07-29 James M. Murray , Oskar Vafek , Leon Balents

Spin-density-functional theory of quantum point contacts (QPCs) reveals the formation of a local moment with a net of one electron spin in the vicinity of the point contact - supporting the recent report of a Kondo effect in a QPC. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kenji Hirose , Yigal Meir , Ned S. Wingreen

The behavior of the electronic system of heavy fermion metals is considered. We show that there exist at least two main types of the behavior when the system is nearby a quantum critical point which can be identified as the fermion…

Strongly Correlated Electrons · Physics 2009-11-10 V. R. Shaginyan

A focus of recent experimental and theoretical studies on heavy fermion systems close to antiferromagnetic (AFM) quantum critical points (QCP) is directed toward revealing the nature of the fixed point, i.e., whether it is an itinerant…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroaki Kadowaki , Yoshikazu Tabata , Masugu Sato , Naofumi Aso , Stephane Raymond , Shuzo Kawarazaki

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

The interpretation of the magnetic phase diagrams of strongly correlated electron systems remains controversial. In particular, the physics of quantum phase transitions, which occur at zero temperature, is still enigmatic. Heavy-fermion…

Strongly Correlated Electrons · Physics 2012-11-08 W. Knafo , S. Raymond , P. Lejay , J. Flouquet

We study a model of interacting fermions in a disordered potential, which is assumed to generate uniformly fluctuating interaction matrix elements. We show that the ground state magnetization is systematically decreased by off-diagonal…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Philippe Jacquod , A. Douglas Stone

Free nodal fermionic excitations are simple but interesting examples of fermionic quantum criticality in which the dynamic critical exponent $z=1$, and the quasiparticles are well defined. They arise in a number of physical contexts. We…

Strongly Correlated Electrons · Physics 2007-05-23 Amit Ghosal , Pallab Goswami , Sudip Chakravarty

We consider a single impurity with spin $S$ embedded in a three-dimensional antiferromagnetic system which is close to the quantum critical point (QCP), separating magnetically ordered and disordered phases. Approaching the QCP from the…

Strongly Correlated Electrons · Physics 2015-10-28 Yaroslav A. Kharkov , Ivan S. Terekhov , Oleg P. Sushkov

The effects of quenched disorder on the critical properties of itinerant quantum antiferromagnets and ferromagnets are considered. Particular attention is paid to locally ordered spatial regions that are formed in the presence of quenched…

Statistical Mechanics · Physics 2009-10-31 R. Narayanan , Thomas Vojta , D. Belitz , T. R. Kirkpatrick