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Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

Strongly Correlated Electrons · Physics 2007-07-11 D. T. Son

Motivated by recent experimental advances in ultracold atoms, we analyze a non-Hermitian (NH) BCS Hamiltonian with a complex-valued interaction arising from inelastic scattering between fermions. We develop a mean-field theory to obtain a…

(1) The temperature dependence of the specific heat for a marginal Fermi liquid has been calculated. (2) We calculated the self-energy at T=0 for a two dimensional fermionic system with hyperbolic dispersion. The existence of the saddle…

Condensed Matter · Physics 2007-05-23 Catalin Pascu Moca

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

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba

We analyze quantum criticality at finite temperature for a class of non-Fermi liquids with massless bosons. Finite temperature gives rise to new infrared singularities that invalidate standard perturbative treatments. We show how such…

Strongly Correlated Electrons · Physics 2017-10-25 Huajia Wang , Gonzalo Torroba

We study the field theory for the SU($N_c$) symmetric antiferromagnetic quantum critical metal with a one-dimensional Fermi surface embedded in general space dimensions between two and three. The asymptotically exact solution valid in this…

Strongly Correlated Electrons · Physics 2018-08-29 Andres Schlief , Peter Lunts , Sung-Sik Lee

The Meccano of heavy fermion systems is shown on different cases going from anomalous monochalcogenides to cerium intermetallic compounds with special focus on the ideal case of the CeRu2Si2 series. Discussion is made in the frame of the…

Strongly Correlated Electrons · Physics 2016-08-31 J. Flouquet , Y. Haga , P. Haen , D. Braithwaite , G. Knebel , S. Raymond , S. Kambe

Employing the self-learning quantum Monte Carlo algorithm, we investigate the frustrated transverse-field triangle-lattice Ising model coupled to a Fermi surface. Without fermions, the spin degrees of freedom undergoes a second-order…

Strongly Correlated Electrons · Physics 2018-07-17 Zi Hong Liu , Xiao Yan Xu , Yang Qi , Kai Sun , Zi Yang Meng

The emergence of fractonic topological phases and novel universality classes for quantum dynamics highlights the importance of dipolar symmetry in condensed matter systems. In this work, we study the properties of symmetry-breaking phases…

Strongly Correlated Electrons · Physics 2023-11-01 Amogh Anakru , Zhen Bi

The strange electronic state of a class of materials which violates the predictions of conventional Fermi-liquid theory of metals remains enigmatic. Proximity to a quantum critical point is a possible origin of this non-Fermi liquid (NFL)…

Strongly Correlated Electrons · Physics 2018-06-13 V. K. Anand , D. T. Adroja , A. D. Hillier , K. Shigetoh , T. Takabatake , Je-Geun Park , K. A. McEwen , J. H. Pixley , Q. Si

We point out that the quasiparticle spectrum of the Landau Fermi liquid theory has an extra $Z_2$ symmetry, local in momentum space, which is not generic to the Hamiltonian with interactions. Thus the Fermi liquid is in this sense a…

Strongly Correlated Electrons · Physics 2007-05-23 Philip W. Anderson , F. Duncan M. Haldane

The critical resistivity measured along the quantum Hall liquid--insulator transition line indicates a pronounced peak at a critical filling factor close to 1, which marks the crossover from the high to low magnetic field regime in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Efrat Shimshoni

In this paper, the relations of four different susceptibilities (i.e., the chiral susceptibility, the fermion number susceptibility, the thermal susceptibility and the staggered spin susceptibility) are investigated both in and beyond the…

High Energy Physics - Phenomenology · Physics 2014-08-28 Pei-lin Yin , Yuan-mei Shi , Zhu-fang Cui , Hong-tao Feng , Hong-shi Zong

We establish an effective theory for heavy fermion compounds close to a zero temperature Anti-Ferromagnetic (AF) transition. Coming from the heavy Fermi liquid phase across to the AF phase, the heavy electron fractionalizes into a light…

Strongly Correlated Electrons · Physics 2009-11-10 Catherine Pepin

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

We describe a new kind of quantum critical point in the context of quantum anti-ferromagnetism in 2d that can be understood as a quantum critical spin liquid. Based on the comparison of exponents with previous numerical work, we argue it…

Strongly Correlated Electrons · Physics 2007-05-23 André LeClair

On the phase diagram of a system undergoing a continuous phase transition of the second order, three lines, hyper-surfaces, convergent into the critical point feature prominently: the ordered and disordered phases in the thermodynamic…

Statistical Mechanics · Physics 2013-07-16 A. Kashuba

The electronic transport properties of heavy-fermion systems were calculated based on a semiphenomenological approach to the lattice non-crossing approximation in the limit of infinite local correlations augmented by crystal-field effects.…

Strongly Correlated Electrons · Physics 2008-02-03 M. Huth , F. B. Anders

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…

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