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We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

We study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low-temperature phase. We investigate the fluctuations of two two-time quantities, called $\chi$ and $C$, the…

Statistical Mechanics · Physics 2015-05-13 Federico Corberi , Leticia Cugliandolo

We give a self-consistent theory of the scale dependent effective mass enhancement m*/m of quasiparticles by 3D antiferromagnetic (AFM) spin fluctuations in the presence of disorder at an AFM quantum critical point. The coupling of…

Strongly Correlated Electrons · Physics 2013-05-29 Peter Wölfle , Elihu Abrahams

We consider a $\phi^4$-theory with a position-dependent distance from the critical point. One realization of this model is a classical ferromagnet subject to non-uniform mechanical stress. We find a sharp phase transition where the envelope…

Statistical Mechanics · Physics 2009-11-13 D. Belitz , T. R. Kirkpatrick , Ronojoy Saha

The conductivity and the tunneling density of states of disordered itinerant electrons in the vicinity of a ferromagnetic transition at low temperature are discussed. Critical fluctuations lead to nonanalytic frequency and temperature…

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

The two-dimensional dissipative quantum XY model is applicable to the quantum-critical properties of diverse experimental systems, ranging from the superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in…

Strongly Correlated Electrons · Physics 2016-11-09 Changtao Hou , Chandra 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

The behavior of the conductivity and the density of states, as well as the phase relaxation time, of disordered itinerant electrons across a quantum ferromagnetic transition is discussed. It is shown that critical fluctuations lead to…

Statistical Mechanics · Physics 2017-08-23 D. Belitz , S. L. Sessions , T. R. Kirkpatrick , M. T. Mercaldo , R. Narayanan , Thomas Vojta

Quantum criticality has attracted considerable attention both theoretically and experimentally as a way to describe part of the phase diagram of strongly correlated systems. A scale-invariant fluctuation spectrum at a quantum critical point…

Strongly Correlated Electrons · Physics 2015-10-28 Stefan Kirchner , Qimiao Si

We consider the effect of the coupling between 2D quantum rotors near an XY ferromagnetic quantum critical point and spins of itinerant fermions. We analyze how this coupling affects the dynamics of rotors and the self-energy of fermions.A…

Strongly Correlated Electrons · Physics 2022-02-01 Yuzhi Liu , Weilun Jiang , Avraham Klein , Yuxuan Wang , Kai Sun , Andrey V. Chubukov , Zi Yang Meng

One-band Hubbard model with hopping parameter $t$ and Coulomb repulsion $U$ is considered at half filling. By means of the Schwinger bosons and slave Fermions representation of the electron operators and integrating out the spin-singlet…

Strongly Correlated Electrons · Physics 2015-06-04 Naoum Karchev

We compute the leading behavior of the uniform magnetic susceptibility, $\chi$, of a Fermi liquid near an antiferromagnetic transition with dynamic exponent $z=2$. Our calculation clarifies the role of triangular ``anomaly'' graphs in the…

Condensed Matter · Physics 2009-10-22 L. B. Ioffe , A. J. Millis

Quantum matter hosts a large variety of phases, some coexisting, some competing; when two or more orders occur together, they are often entangled and cannot be separated. Dynamical multiferroicity, where fluctuations of electric dipoles…

Strongly Correlated Electrons · Physics 2019-02-20 K. Dunnett , J. -X. Zhu , N. A. Spaldin , V. Juricic , A. V. Balatsky

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

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…

We solve for the SU(N) Heisenberg spin-glass in the limit of large N focusing on small S and T. We study the effect of quantum and thermal fluctuations in the frequency dependent response function and observed interesting transfers of…

Strongly Correlated Electrons · Physics 2009-11-07 A. Camjayi , M. J. Rozenberg

We investigate the continuous quantum phase transition from an antiferromagnetic metal to a heavy fermion liquid based on the Kondo lattice model in two dimensions. We propose that antiferromagnetic spin fluctuations and conduction…

Strongly Correlated Electrons · Physics 2016-08-31 Ki-Seok Kim

Quantum criticality plays a central role in understanding non-Fermi liquid behavior and unconventional superconductivity in strongly correlated systems. In this review, we explore the quantum critical Eliashberg theory, which extends…

Strongly Correlated Electrons · Physics 2025-06-16 Ilya Esterlis , Joerg Schmalian

We consider an inhomogeneous anisotropic gap superconductor in the vicinity of the quantum critical point, where the transition temperature is suppressed to zero by disorder. Starting with the BCS Hamiltonian, we derive the Ginzburg-Landau…

Superconductivity · Physics 2009-11-13 Victor Galitski

We present the results of inelastic neutron scattering measurements, performed near the antiferromagnetic quantum critical point in Ce(Ru_{0.24} Fe_{0.76})_2 Ge_2. Both local and long range fluctuations of the local moments are observed,…

Strongly Correlated Electrons · Physics 2007-05-23 W. Montfrooij , M. C. Aronson , B. D. Rainford , J. A. Mydosh , A. P. Murani , P. Haen , T. Fukuhara