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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

Near a quantum-critical point in a metal strong fermion-fermion interaction mediated by a soft collective boson gives rise to incoherent, non-Fermi liquid behavior. It also often gives rise to superconductivity which masks the non-Fermi…

Superconductivity · Physics 2016-10-19 Yuxuan Wang , Artem G. Abanov , Boris L. Altshuler , Emil A. Yuzbashyan , Andrey V. Chubukov

The normal phase of the high-$T_c$ cuprates is apparently not described by Fermi liquid theory. It has been proposed that a dynamically generated gauge field must appear in the effective field theory. Even a simple spinon-gauge system is…

Condensed Matter · Physics 2009-10-22 Joseph Polchinski

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

We present comparative analysis of superconducting and charge-density-wave orders in the spin-fluctuation scenario for the cuprates. That spin-fluctuation exchange gives rise to d-wave superconductivity is well known. Several groups…

Strongly Correlated Electrons · Physics 2015-05-21 Yuxuan Wang , Andrey Chubukov

We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an…

Strongly Correlated Electrons · Physics 2008-12-18 Simon Hands , Costas Strouthos

We study a one-dimensional electron liquid embedded in a 2D antiferromagnetic insulator, and coupled to it via a weak antiferromagnetic spin exchange interaction. We argue that this model may qualitatively capture the physics of a single…

Strongly Correlated Electrons · Physics 2009-11-10 H. Johannesson , G. I. Japaridze

We analyze the two-dimensional spin-fermion model in the strong coupling regime relevant to underdoped cuprates. We recall the set of general sumrules that relate moments of spectral density and the imaginary part of fermion self-energy…

Strongly Correlated Electrons · Physics 2009-10-31 R. O. Kuzian , L. A. Maksimov , A. F. Barabanov , L. B. Litinskii

In recent literature on trapped ultracold atomic gases, calculations for 2D-systems are often done within the Dynamical Mean Field Theory (DMFT) approximation. In this paper, we compare DMFT to a fully two-dimensional, self-consistent…

Quantum Gases · Physics 2011-10-21 Andreas D. Pfister , Eberhard Jakobi , Tobias Gottwald , Peter G. J. van Dongen

We study the spectral function $A_k (\omega)$ and the optical conductivity $\sigma_1 (\omega)$ for a system of fermions interacting with their collective spin fluctuations (the spin-fermion model), and apply the results to optimally doped…

Superconductivity · Physics 2016-08-31 R. Haslinger , Andrey V. Chubukov , Ar. Abanov

We compute the Hall angle and the magnetoresistance of the spin-fermion model, which is a successful phenomenological theory to describe the physics of the cuprates and iron-based superconductors within a wide range of doping regimes. We…

Strongly Correlated Electrons · Physics 2017-09-04 Hermann Freire

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

Quantum Gases · Physics 2012-04-17 Zhenhua Yu

The effect of static fluctuations in the phase of the order parameter on the normal and superconducting properties of a 2D system with attractive four-fermion interaction is studied. Analytic expressions for the fermion Green's function,…

Superconductivity · Physics 2009-10-31 Valery P. Gusynin , Vadim M. Loktev , Sergei G. Sharapov

We study the dynamics of critical spin fluctuations and hot electrons at the metallic antiferromagnetic quantum critical points with $Z_2$ and $O(2)$ spin symmetries, building upon earlier works on the $O(3)$ symmetric theory. The…

Strongly Correlated Electrons · Physics 2025-04-15 Anton Borissov , Vladimir Calvera , Sung-Sik Lee

We have investigated analitycally the phase diagram of a generalized spherical version of the Blume-Emery-Griffiths model that includes ferromagnetic or antiferromagnetic spin interactions as well as quadrupole interactions in zero and…

Statistical Mechanics · Physics 2009-10-31 S. E. Savel'ev , Guillermo Ramirez-Santiago

The free fermion nature of interacting spins in one dimensional (1D) spin chains still lacks a rigorous study. In this letter we show that the length-$1$ spin strings significantly dominate critical properties of spinons, magnons and free…

Statistical Mechanics · Physics 2017-12-13 Feng He , Yu-Zhu Jiang , Yi-Cong Yu , Hai-Qing Lin , Xi-Wen Guan

Employing the renormalization group approach, we carefully investigate the critical behavior of two-dimensional tilted semi-Dirac semimetals induced by the fermion-fermion interactions in the low-energy regime. After incorporating all…

Strongly Correlated Electrons · Physics 2025-04-15 Wen Liu , Wen-Hao Bian , Xiao-Zhuo Chu , Jing Wang

The antiferromagnetic spin correlation function $S_{\bf Q}$, the staggered spin susceptibility $\chi_{\bf Q}$ and the energy scale $\omega_{FL}=S_{\bf Q}/\chi_{\bf Q}$ are studied numerically within the t-J model and the Hubbard model, as…

Strongly Correlated Electrons · Physics 2009-11-10 J. Bonca , P. Prelovsek , I. Sega

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

Strongly Correlated Electrons · Physics 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

The model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti