Anderson lattice with explicit Kondo coupling revisited: metamagnetism and the field-induced suppression of the heavy fermion state

Howczak, Olga; Spałek, J.

doi:10.1088/0953-8984/24/20/205602

Cited by 28 publications

(44 citation statements)

References 64 publications

(137 reference statements)

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“…al. 30 and by Spalek and coworkers 31 . Using more modern tools such as dynamical mean field theory with numerical renormalization group and within the context of a half filled Hubbard model Bauer has also studied itinerant metamagnetism 32 .…”

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confidence: 91%

Universality in the magnetic response of metamagnetic metals

et al. 2014

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We report in this paper, measurements of the nonlinear susceptibility χ 3 (T) in the metamagnetic heavy fermion (HF) compound UPt 3 . At high temperatures, χ 3 (T) < 0 and small. It turns positive for T ≤ 35K, forms a peak at T  10K and then decreases to zero with further decreasing temperature. The peak in χ 3 occurs at a temperature T 3 roughly half of T 1 , the temperature of the maximum in the linear susceptibility. We present results on URu 2 Si 2 and UPd 2 Al 3 to show that this feature is common to other HF materials. A two level model to describe the metamagnetic transition, with separation between the levels being the only energy scale, captures all experimentally observed features. *bss2d@virginia.edu -to whom all correspondence should be addressed.2 Given the myriad ways in which one can arrange atoms to form crystal structures and the possibilities of placing electrons in them the discovery of a common behavioral pattern in the electronic properties often leads to new microscopic insights. In metals, recent discoveries of universal rules such as the Kadowaki-Woods relation 1 which connects the electron effective mass enhancement to the temperature dependence of the resistivity in Fermi liquid systems, the constancy of the Wilson ratio 2 , the Homes plot 3 and other similar scaling laws have assisted in identifying the dominant energy scales, and helped in insights to build microscopic theories.Our purpose in this paper is to show that the magnetic response of many electronic materials that undergo a metamagnetic transition also exhibit universal features in their nonlinear susceptibility. Along with a jump in the magnetization at a critical field, H m , metamagnetism also entails a positive nonlinear susceptibility at low temperatures (it is negative at high temperatures), a peak in the linear susceptibility  1 (T) at a temperature T 1 , a peak in the leading order nonlinear susceptibility  3 (T) >0 at a lower temperature T 3 . These are features widely seen in different materials with diverse lattice structures and electronic properties. Hirose et. al 4 have noted the correlation between H m and the temperature T 1 of the maximum in  1 (T). Goto et. al pointed out earlier that the metamagnetic field H m also correlates with the value of  1 (T) at its maximum 5 . Both of these correlations, found in a number of materials, indicate a dominant presence of one energy scale. In the following we report a new correlation, one between the peak temperatures T 3 for  3 (T) and T 1 namely T 3 =T 1 /2. We also present a new model that captures all of these correlations.For purposes of illustrating this universality we consider the heavy electron class of materials. Within these systems metamagnetic behavior is seen in several uranium compounds 6,7,8,9,10 , cerium compounds 11,12,13,14 , as well as in the ytterbium compounds 15 . Most of these systems possess either hexagonal or tetragonal symmetry. The same behavior is also observed in the skutterudite structure in PrOs 4 Sb 12 a moderately heavy...

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Universality in the magnetic response of metamagnetic metals

et al. 2014

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“…The alternative derivation of the minimization conditions is based on the so-called Statistically consistent Gutzwiller Approximation (SGA) [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], and therefore we call it the SGA scheme. Within this method, we also start with the expression for W (or F) and supply it with the Lagrange-multiplier terms yielding the following auxiliary energy operator…”

Section: Methods Based On the Lagrange Multipliersmentioning

confidence: 99%

“…The first superscript in (38) denotes the iteration number, and the second one the step of the procedure. The choice of the damping factor λ ∈ (0, 1] is not trivial, as for low values the convergence is very slow, whereas for too high values, the procedure may not converge at all.…”

Section: Solving the Minimization Conditionsmentioning

confidence: 99%

Comparison of two approaches for the treatment of Gutzwiller variational wave functions

Kaczmarczyk

2014

Philosophical Magazine

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In this work, we analyse the variational problem emerging from the Gutzwiller approach to strongly correlated systems. This problem comprises two main steps: evaluation and minimization of the ground state energy W for the postulated Gutzwiller Wave Function. We discuss the available methods for evaluating W , in particular the recently proposed diagrammatic expansion method. We compare the two existing approaches to minimize W : the standard approach based on the effective single-particle Hamiltonian and the so-called Statistically-consistent Gutzwiller Approximation (SGA). On the example of the superconducting phase analysis, we show that these approaches lead to the same minimum as it should be. However, the calculations within the SGA method are easier to perform and the two approaches allow for a simple cross-check of the obtained results. Finally, we show two ways of solving the equations resulting from the variational procedure, as well as how to incorporate the condition for a fixed number of particles.

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“…Additionally, for n f ≃ 1, where the effects of correlations are the strongest, we observe also a large value of ρ(E F ). In that limit the stability of magnetic phases should be studied separately 18,19 . As marked in Fig.…”

Section: Quasiparticle Density Of Statesmentioning

confidence: 99%

Gutzwiller wave-function solution for Anderson lattice model: Emerging universal regimes of heavy quasiparticle states

2015

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The recently proposed diagrammatic expansion (DE) technique for the full Gutzwiller wave function (GWF) is applied to the Anderson lattice model. This approach allows for a systematic evaluation of the expectation values with full Gutzwiller wave function in the finite dimensional systems. It introduces results extending in an essential manner those obtained by means of standard Gutzwiller approximation (GA) scheme which is variationally exact only in infinite dimensions. Within the DE-GWF approach we discuss principal paramagnetic properties and their relevance to the heavy fermion systems. We demonstrate the formation of an effective, narrow f -band originating from atomic f -electron states and subsequently interpret this behavior as a direct itineracy of f -electrons; it represents a combined effect of both the hybridization and the correlations reduced by the Coulomb repulsive interaction. Such feature is absent on the level of GA which is equivalent to the zeroth order of our expansion. Formation of the hybridization-and electron-concentrationdependent narrow f -band rationalizes common assumption of such dispersion of f levels in the phenomenological modeling of the band structure of CeCoIn5. Moreover, it is shown that the emerging f -electron direct itineracy leads in a natural manner to three physically distinct regimes within a single model, that are frequently discussed for 4f -or 5f -electron compounds as separate model situations. We identify these regimes as: (i) mixed-valence regime, (ii) Kondo-insulator border regime, and (iii) Kondo-lattice limit when the f -electron occupancy is very close to the f -states half-filling, n f → 1. The nonstandard features of emerging correlated quantum liquid state are stressed.

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Anderson lattice with explicit Kondo coupling revisited: metamagnetism and the field-induced suppression of the heavy fermion state

Cited by 28 publications

References 64 publications

Universality in the magnetic response of metamagnetic metals

Universality in the magnetic response of metamagnetic metals

Comparison of two approaches for the treatment of Gutzwiller variational wave functions

Gutzwiller wave-function solution for Anderson lattice model: Emerging universal regimes of heavy quasiparticle states

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