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We investigate the impacts of combination of fermion-fermion interactions and impurity scatterings on the low-energy stabilities of two-dimensional asymmetric materials with a quadratic band crossing point by virtue of the renormalization…

Strongly Correlated Electrons · Physics 2020-10-09 Yao-Ming Dong , Ya-Hui Zhai , Dong-Xing Zheng , Jing Wang

A microscopic basis is provided for the spin-fermion model used to describe the physics of the underdoped cuprates. In this way, a spin-fermion coupling is shown to take care of the local no double occupancy constraint, which is ignored in…

Strongly Correlated Electrons · Physics 2017-01-17 Alvaro Ferraz , Evgenii Kochetov

The spin-fermion (SF) model postulates that the dominant coupling between low-energy fermions in near critical metals is mediated by collective spin fluctuations (paramagnons) peaked at the N\'{e}el wave vector, ${\bf Q}_N$, connecting hot…

Strongly Correlated Electrons · Physics 2024-11-05 R. Rossi , F. Simkovic , M. Ferrero , A. Georges , A. M. Tsvelik , N. V. Prokof'ev , I. S. Tupitsyn

It is assumed that U atoms in $UGe_2$ have a number of $f$ electrons appropriate to give them each a spin $s=1$ as well as one extra itinerant electron which may equally well be on one or other U atom. The dynamical degrees of freedom are…

Strongly Correlated Electrons · Physics 2007-05-23 Naoum Karchev

Spin fluctuation in LiV2O4 is revisited by examining the earlier result of muon spin rotation/ relaxation measurements. Instead of a relationship for the localized electron limit, one for itinerant electron systems between muon…

Strongly Correlated Electrons · Physics 2011-12-19 R. Kadono , A. Koda , W. Higemoto , K. Ohishi , H. Ueda , C. Urano , S. Kondo , M. Nohara , H. Takagi

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

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a…

Mathematical Physics · Physics 2013-08-26 Jonas de Woul , Edwin Langmann

Many correlated materials display a quantum critical point between a paramagnetic and a SDW state. The SDW wave vector connects points (hot spots) on opposite sides of the Fermi surface. The Fermi velocities at these pairs of points are in…

Strongly Correlated Electrons · Physics 2012-10-15 Dominic Bergeron , Debanjan Chowdhury , Matthias Punk , Subir Sachdev , A. -M. S. Tremblay

The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2…

Strongly Correlated Electrons · Physics 2011-02-28 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

We study the conductivity of a 3D disordered metal close to the antiferromagnetic instability within the framework of the spin-fermion model using the diagrammatic technique. We calculate the interaction correction $\delta\sigma(\omega,T)$…

Strongly Correlated Electrons · Physics 2013-05-30 S. V. Syzranov , J. Schmalian

These are lectures presented at the summer course on ``Low Dimensional Quantum Field Theories for Condensed Matter Physicists'', 24 Aug. to 4 Sep. 1992, Trieste, Italy. I review recent work, performed in collaboration primarily with N. Read…

Condensed Matter · Physics 2025-09-08 Subir Sachdev

In this review we demonstrate that superconducting pairing, mediated by the exchange of spin fluctuations, is a viable alternative to conventional phonon-mediated pairing. We discuss in detail the normal state properties, the spin…

Strongly Correlated Electrons · Physics 2007-05-23 Andrey V. Chubukov , David Pines , Joerg Schmalian

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

We study the temperature crossovers seen in the magnetic and transport properties of cuprates using a nearly antiferromagnetic Fermi liquid model (NAFLM). For the overdoped cuprates, we find, in agreement with earlier work, mean-field $z=2$…

Condensed Matter · Physics 2009-10-28 Andrey V Chubukov , David Pines , Branko P Stojkovic

Long-wavelength spin fluctuations prohibit antiferromagnetic long-range order at finite temperature in two dimensions. Nevertheless, the correlation length starts to grow rapidly at a crossover temperature, leading to critical slowing down…

Strongly Correlated Electrons · Physics 2024-09-30 Y. M. Vilk , Camille Lahaie , A. -M. S. Tremblay

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

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

We construct a fermionic lattice model containing interacting spin-$\frac{1}{2}$ fermions with an $O(4)$ symmetry. In addition the model contains a $\mathbb{Z}_2$ chiral symmetry which prevents a fermion mass term. Our model is motivated by…

High Energy Physics - Lattice · Physics 2019-12-25 Hanqing Liu

Quantum critical points exist at zero temperature, yet, experimentally their influence seems to extend over a large part of the phase diagram of systems such as heavy-fermion compounds and high-temperature superconductors. Theoretically,…

Strongly Correlated Electrons · Physics 2008-11-03 Sébastien Roy , A. -M. S. Tremblay

Motivated by neutron scattering experiments in the high-$T_c$ cuprates, we propose the two-component spin-fermion model as a minimal phenomenological model which has both local spins and itinerant fermions as independent degrees of freedom.…

Strongly Correlated Electrons · Physics 2015-06-03 Yunkyu Bang