Quasiparticles and quantum phase transition in universal low-temperature properties of heavy-fermion metals

Shaginyan, V. R.; Msezane, A. Z.; Stephanovich, V. A.; Кириченко, Е. В.

doi:10.1209/epl/i2006-10346-7

Cited by 39 publications

(34 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further, we note that the superconducting boundary line B c2 (T ) at decreasing temperatures acquires a step, i.e. the corresponding phase transition becomes first order [97,172]. This leads us to speculate that the same may be true for Tl 2 Ba 2 CuO 6+x .…”

Section: Relationships Between Critical Magnetic Fields B C0 and B C2mentioning

confidence: 56%

Scaling behavior of heavy fermion metals

et al. 2010

View full text Add to dashboard Cite

a b s t r a c tStrongly correlated Fermi systems are fundamental systems in physics that are best studied experimentally, which until very recently have lacked theoretical explanations. This review discusses the construction of a theory and the analysis of phenomena occurring in strongly correlated Fermi systems such as heavy-fermion (HF) metals and two-dimensional (2D) Fermi systems. It is shown that the basic properties and the scaling behavior of HF metals can be described within the framework of a fermion condensation quantum phase transition (FCQPT) and an extended quasiparticle paradigm that allow us to explain the non-Fermi liquid behavior observed in strongly correlated Fermi systems. In contrast to the Landau paradigm stating that the quasiparticle effective mass is a constant, the effective mass of new quasiparticles strongly depends on temperature, magnetic field, pressure, and other parameters. Having analyzed the collected facts on strongly correlated Fermi systems with quite a different microscopic nature, we find these to exhibit the same non-Fermi liquid behavior at FCQPT. We show both analytically and using arguments based entirely on the experimental grounds that the data collected on very different strongly correlated Fermi systems have a universal scaling behavior, and materials with strongly correlated fermions can unexpectedly be uniform in their diversity. Our analysis of strongly correlated systems such as HF metals and 2D Fermi systems is in the context of salient experimental results. Our calculations of the non-Fermi liquid behavior, the scales and thermodynamic, relaxation and transport properties are in good agreement with experimental facts.

show abstract

Section: Relationships Between Critical Magnetic Fields B C0 and B C2mentioning

confidence: 56%

Scaling behavior of heavy fermion metals

et al. 2010

View full text Add to dashboard Cite

show abstract

“…Obviously, as seen from Eq. (14), the width of the transition region being proportional to B M ≃ B inf decreases as the temperature T f is lowered. In the same way, the inflection point of LMR, generated by the inflection point of M * shown in the inset to Fig.…”

Section: A Heat Capacity and The Sommerfeld Coefficientmentioning

confidence: 95%

Strongly correlated Fermi-systems: Non-Fermi liquid behavior, quasiparticle effective mass and their interplay

2009

View full text Add to dashboard Cite

Basing on the density functional theory of fermion condensation, we analyze the non-Fermi liquid behavior of strongly correlated Fermi-systems such as heavy-fermion metals. When deriving equations for the effective mass of quasiparticles, we consider solids with a lattice and homogeneous systems. We show that the low-temperature thermodynamic and transport properties are formed by quasiparticles, while the dependence of the effective mass on temperature, number density, magnetic fields, etc gives rise to the non-Fermi liquid behavior. Our theoretical study of the heat capacity, magnetization, energy scales, the longitudinal magnetoresistance and magnetic entropy are in good agreement with the remarkable recent facts collected on the heavy-fermion metal YbRh2Si2.

show abstract

“…To study universal low temperature features of HF metals, we use the model of homogeneous heavy-fermion liquid with the effective mass M * (T, B, x), where x = p 3 F /3π 2 is a number density and p F is Fermi momentum [23]. This model permits to avoid complications associated with the crystalline anisotropy of solids [13]. We first outline the case when at T → 0 the heavy-electron liquid behaves as LFL and is brought to the LFL side of FCQPT by tuning of a control parameter like x.…”

Section: Scaling Behavior Of the Kinksmentioning

confidence: 99%

Energy scales and magnetoresistance at a quantum critical point

Shaginyan¹,

Amusia²,

Msezane³

et al. 2009

Physics Letters A

View full text Add to dashboard Cite

The magnetoresistance (MR) of CeCoIn5 is notably different from that in many conventional metals. We show that a pronounced crossover from negative to positive MR at elevated temperatures and fixed magnetic fields is determined by the scaling behavior of quasiparticle effective mass. At a quantum critical point (QCP) this dependence generates kinks (crossover points from fast to slow growth) in thermodynamic characteristics (like specific heat, magnetization etc) at some temperatures when a strongly correlated electron system transits from the magnetic field induced Landau Fermi liquid (LFL) regime to the non-Fermi liquid (NFL) one taking place at rising temperatures. We show that the above kink-like peculiarity separates two distinct energy scales in QCP vicinitylow temperature LFL scale and high temperature one related to NFL regime. Our comprehensive theoretical analysis of experimental data permits to reveal for the first time new MR and kinks scaling behavior as well as to identify the physical reasons for above energy scales.

show abstract

Quasiparticles and quantum phase transition in universal low-temperature properties of heavy-fermion metals

Cited by 39 publications

References 36 publications

Scaling behavior of heavy fermion metals

Scaling behavior of heavy fermion metals

Strongly correlated Fermi-systems: Non-Fermi liquid behavior, quasiparticle effective mass and their interplay

Energy scales and magnetoresistance at a quantum critical point

Contact Info

Product

Resources

About