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Shaginyan, V. R.; Amusia, M. Ya.; Попов, К. Г.

doi:10.1070/pu2007v050n06abeh006288

Cited by 53 publications

(183 citation statements)

References 21 publications

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“…It turns out that M * (T, x) in the entire T and x range can be well approximated by a simple universal interpolating function similar to the case of the application of magnetic field [4,13,15]. The interpolation occurs between LFL (M * ∝ T 2 ) and NFL (M * ∝ T −2/3 ) regimes thus describing the above crossover.…”

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confidence: 95%

“…Namely, we demonstrate that the main universal features of 3 He experimental T -x phase diagram look like those in HF metals and can be well captured utilizing our notion of fermion condensation quantum phase transition (FCQPT) [9,10,11,12,13] based on the quasiparticles paradigm and thus deriving NFL properties of above systems from modified LFL theory. The modification is that in contrast to the Landau quasiparticle effective mass, the 3 He effective mass M * (T, x) becomes temperature and density dependent.…”

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confidence: 99%

“…Since LFL theory im-plies the number density in the form x = p 3 F /3π 2 , we can rewrite the amplitude as F 1 (p F , p F ) = F 1 (x). When at some critical point x = x c , F 1 (x) achieves certain threshold value, the denominator tends to zero so that the effective mass diverges at T = 0 and the system undergoes the fermion condensation quantum phase transition (FCQPT) [9,10,11,12,13]. The leading term of this divergence reads…”

mentioning

confidence: 99%

“…(1) is valid in both 3D and 2D cases, while the values of factors A and B depend on dimensionality and inter-particle interaction [13]. At x > x c the fermion condensation takes place.…”

mentioning

confidence: 99%

“…Here we confine ourselves to the case x < x c . When the system approaches FCQPT, the dependence M * (T, x) is governed by Landau equation [7,13] 1 …”

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Universal Behavior of Two-DimensionalHe3at Low Temperatures

et al. 2008

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On the example of two-dimensional (2D) 3 He we demonstrate that the main universal features of its experimental temperature T -density x phase diagram [see M. Neumann, J. Nyéki, J. Saunders, Science 317, 1356Science 317, (2007] look like those in the heavy-fermion metals. Our comprehensive theoretical analysis of experimental situation in 2D 3 He allows us to propose a simple expression for effective mass M * (T, x), describing all diverse experimental facts in 2D 3 He in unified manner and demonstrating that the universal behavior of M * (T, x) coincides with that observed in HF metals.PACS numbers: 72.15. Qm, 71.27.+a, 74.20.Fg, 74.25.Jb One of the main purposes of condensed matter physics is to unveil the nature of the non-Fermi liquid (NFL) behavior in various strongly correlated Fermi-systems. These substances, such as high temperature superconductors, heavy fermion (HF) metals, 2D electron and 3 He systems are the objects of intensive studies leading to understanding of many-body effects and quantum phase transitions responsible for the NFL behavior. Heavy fermion metals provide important examples of strongly correlated Fermi-systems [1,2]. In these compounds, being f-electron alloys, a lattice of f-electron spins couples to the itinerant electronic system by s − f Kondo exchange interaction. The properties of such systems are now hotly debated as there is a common wisdom that they are related to zero temperature quantum fluctuations, suppressing quasiparticles and giving rise to a quantum critical point (QCP), where the systems transit to different magnetic ground states generating their specific NFL behavior [2,3]. On the other hand, it was shown that the electronic system of HF metals demonstrates the universal low-temperature behavior irrespectively of their magnetic ground state [4]. Therefore it is of crucial importance to check whether this behavior can be observed in 2D Fermi systems. Fortunately, the recent measurements on 2D 3 He become available [5,6]. Their results are extremely significant as they allow to check the presence of the universal behavior in the system formed by 3 He atoms which are essentially different from electrons. Namely, the neutral atoms of 2D 3 He are fermions with spin S = 1/2 and they interact with each other by van-der-Waals forces with strong hardcore repulsion (due to electrostatic repulsion of protons) and a weakly attractive tail. The different character of interparticle interaction along with the fact, that a mass of He atom is 3 orders of magnitude larger then that of an electron, makes 3 He to have drastically different microscopic properties then that of 3D HF metals. Because of this difference nobody can be sure that the macroscopic physical properties of both above fermionic systems will be more or less similar to each other.The bulk liquid 3 He is historically the first object, to which a Landau Fermi-liquid (LFL) theory had been applied [7]. This substance, being intrinsically isotropic Fermi-liquid with negligible spin-orbit interaction is an ideal obj...

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confidence: 95%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…(1) is valid in both 3D and 2D cases, while the values of factors A and B depend on dimensionality and inter-particle interaction [13]. At x > x c the fermion condensation takes place.…”

mentioning

confidence: 99%

“…Here we confine ourselves to the case x < x c . When the system approaches FCQPT, the dependence M * (T, x) is governed by Landau equation [7,13] 1 …”

mentioning

confidence: 99%

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Universal Behavior of Two-DimensionalHe3at Low Temperatures

et al. 2008

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Strongly Correlated Fermi Systems

Amusia

Shaginyan

2020

Springer Tracts in Modern Physics

101

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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 YbRh 2 Si 2 .

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Introduction

Amusia¹,

Shaginyan²

2020

Springer Tracts in Modern Physics

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Cited by 53 publications

References 21 publications

Universal Behavior of Two-DimensionalHe3at Low Temperatures

Universal Behavior of Two-DimensionalHe3at Low Temperatures

Strongly Correlated Fermi Systems

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