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We apply the Migdal-Eliashberg theory of superconductivity to heavy-fermion and mixed valence materials. Specifically, we extend the Anderson lattice model to a case when there exists a strong coupling between itinerant electrons and…

Superconductivity · Physics 2024-08-28 Samuel Awelewa , Maxim Dzero

The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an important additional tuning parameter in the…

Strongly Correlated Electrons · Physics 2010-10-04 Piers Coleman , Andriy H. Nevidomskyy

The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

In a normal Fermi liquid, Landau's theory precludes the loss of single fermion, quantum coherence in the low energy/temperature limit. For highly anisotropic, strongly correlated metals there is no proof that this remains the case: we…

Condensed Matter · Physics 2007-05-23 David Clarke , Steven Strong , Paul Chaikin , Ekaterina Chashechkina

The La dilution of the Kondo lattice CeCoIn_5 is studied. The scaling laws found for the magnetic susceptibility and the specific heat reveal two well-separated energy scales, corresponding to the single impurity Kondo temperature T_K and…

Strongly Correlated Electrons · Physics 2009-11-07 S. Nakatsuji , S. Yeo , L. Balicas , Z. Fisk , P. Schlottmann , P. G. Pagliuso , N. O. Moreno , J. L. Sarrao , J. D. Thompson

Formation of magnetically ordered state in the Kondo lattices is treated within the degenerate $s-f$ exchange and Coqblin-Schrieffer models. The Kondo renormalizations of the effective coupling parameter, magnetic moment and spin excitation…

Strongly Correlated Electrons · Physics 2009-10-30 V. Yu. Irkhin , M. I. Katsnelson

We review recent work on the instability of the heavy Fermi liquid state (FL) of the Kondo lattice towards a magnetic metal in which the local moments are not part of the Fermi sea. Using insights drawn from the theory of deconfined quantum…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Subir Sachdev , Matthias Vojta

We have studied temperature dependence of both diagonal and Hall resistivity in the vicinity of $\nu=1/2$. Magnetoresistance was found to be positive and almost independent of temperature: temperature enters resistivity as a logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. P. Rokhinson , V. J. Goldman

The $T^2$-scaling of resistivity with temperature is often viewed as a classic hallmark of a Fermi-liquid (FL) behavior in metals. However, if umklapp scattering is suppressed, this scaling is not universally guaranteed to occur. In this…

Strongly Correlated Electrons · Physics 2025-07-16 Tatia Kiliptari , Dmitrii L. Maslov

Using Majorana Fermions to represent spins we re-examine the Kondo Lattice model for heavy fermions. The simplest decoupling procedure provides a realization of odd frequency superconductivity, with resonant pairing and surfaces of gap…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

We have investigated the magnetoresistive behavior of Dirac semi-metal Cd3As2 down to low temperatures and in high magnetic fields. A positive and linear magnetoresistance (LMR) as large as 3100% is observed in a magnetic field of 14 T, on…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Junya Feng , Yuan Pang , Desheng Wu , Zhijun Wang , Hongming Weng , Jianqi Li , Xi Dai , Zhong Fang , Youguo Shi , Li Lu

The Kondo lattice model, augmented by a Zeeman term, serves as a useful model of a Kondo insulator in an applied magnetic field. A variational mean field analysis of this system on a square lattice, backed up by quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2007-07-03 K. S. D. Beach , Patrick A. Lee , P. Monthoux

Effects of electron correlations on Anderson insulators have been one of the central themes for recent two decades, suggesting that the Anderson insulating phase turns into a novel insulating state referred to as many body localization…

Disordered Systems and Neural Networks · Physics 2022-07-12 Kyung-Yong Park , Iksu Jang , Ki-Seok Kim

We present results of high-resolution, low-temperature measurements of the Hall coefficient, thermopower, and specific heat on stoichiometric YbRh2Si2. They support earlier conclusions of an electronic (Kondo-breakdown) quantum critical…

Strongly Correlated Electrons · Physics 2015-05-20 S. Friedemann , S. Wirth , S. Kirchner , Q. Si , S. Hartmann , C. Krellner , C. Geibel , T. Westerkamp , M. Brando , F. Steglich

Experimental results for the susceptibility, specific heat, 4f occupation number, Hall effect and magnetoresistance for single crystals of YbAl$_{3}$ show that, in addition to the Kondo energy scale $k_{B}T_{K}$ $% \sim $ 670K, there is a…

Huge values of high field magnetoresistance have been recently reported in large arrays of CoFe nanoparticles embedded in an organic insulating lattice in the Coulomb blockade regime. An unusual exponential decrease of magnetoresistance…

Materials Science · Physics 2008-10-09 Reasmey P. Tan , Julian Carrey , Marc Respaud

We review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the Dynamical Mean-Field Theory…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , D. Vollhardt

The repulsive Fermi Hubbard model on the square lattice has a rich phase diagram near half-filling (corresponding to the particle density per lattice site $n=1$): for $n=1$ the ground state is an antiferromagnetic insulator, at $0.6 < n…

Strongly Correlated Electrons · Physics 2017-09-06 Fedor Šimkovic IV. , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , I. Tupitsyn , Evgeny Kozik

Transport, magnetic and thermal properties at high magnetic fields (H) and low temperatures (T) of the heavy fermion compound CeAuSb_2 are reported. At H=0 this layered system exhibits antiferromagnetic order below T_N = 6 K. Applying B…

Strongly Correlated Electrons · Physics 2009-11-10 L. Balicas , S. Nakatsuji , H. Lee , P. Schlottmann , T. P. Murphy , Z. Fisk

We investigate the ferromagnetic Kondo-lattice model (FKLM) with a correlated conduction band. A moment conserving approach is proposed to determine the electronic self-energy. Mapping the interaction onto an effective Heisenberg model we…

Strongly Correlated Electrons · Physics 2015-06-24 J. Kienert , C. Santos , W. Nolting
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