On the Kondo Problem and Thermodynamics of Dilute Magnetic Alloys

Maćkowiak, J.

doi:10.1142/s1230161208000201

Cited by 5 publications

(3 citation statements)

References 38 publications

(65 reference statements)

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“…Their results suggest that T * is not related to the single ion Kondo temperature, T K (see Ref. 213 ), but rather represents a correlated Kondo temperature that provides a measure of the strength of the intersite coupling between the local moments. The complementary questions concerning the emergent symmetry and dimensional reduction at a quantum critical point were investigated at Refs.…”

Section: Emergent Phenomena In Quantum Condensed Matter Physicsmentioning

confidence: 99%

“…For a Kondo lattice system, [220][221][222] the formation of a Neel state via the RKKY intersite interaction compete with the formation of a local Kondo singlet. 213 Recent data for many heavy fermion Ce-or U -based compounds and alloys display a pronounced non-Fermi-liquid behavior. A number of theoretical scenarios have been proposed and they can be broadly classified into two categories which deal with the localized and extended states of f -electrons.…”

Section: Magnetic Degrees Of Freedom and Models Of Magnetismmentioning

confidence: 99%

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Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence

Kuzemsky

2010

Int. J. Mod. Phys. B

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In the present interdisciplinary review we focus on the applications of the symmetry principles to quantum and statistical physics in connection with some other branches of science. The profound and innovative idea of quasiaverages formulated by N. N. Bogoliubov, gives the so-called macro-objectivation of the degeneracy in domain of quantum statistical mechanics, quantum field theory and in the quantum physics in general. We discuss the complementary unifying ideas of modern physics, namely: spontaneous symmetry breaking, quantum protectorate and emergence. The interrelation of the concepts of symmetry breaking, quasiaverages and quantum protectorate was analyzed in the context of quantum theory and statistical physics. The chief purposes of this paper were to demonstrate the connection and interrelation of these conceptual advances of the many-body physics and to try to show explicitly that those concepts, though different in details, have a certain common features. Several problems in the field of statistical physics of complex materials and systems (e.g. the chirality of molecules) and the foundations of the microscopic theory of magnetism and superconductivity were discussed in relation to these ideas.

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Section: Emergent Phenomena In Quantum Condensed Matter Physicsmentioning

confidence: 99%

Section: Magnetic Degrees Of Freedom and Models Of Magnetismmentioning

confidence: 99%

Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence

Kuzemsky

2010

Int. J. Mod. Phys. B

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“…A simple solution of the Kondo problem, in terms of T , was given in Ref. [25]. The well known puzzling dependence of T c on dopant concentration in high-T c superconductors, was explained also in terms of T in Ref.…”

Section: The Effective Temperaturementioning

confidence: 99%

A refined Bogoliubov-Huang approach to helium II thermodynamics

Maćkowiak,

Borycki

2010

Preprint

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The thermodynamics of a free Bose gas with effective temperature scale T and hard-sphere Bose gas with the T scale are studied. T arises as the temperature experienced by a single particle in a quantum gas with 2-body harmonic oscillator interaction Vosc, which at low temperatures is expected to simulate, almost correctly, the attractive part of the interatomic potential VHe between 4 He atoms.The repulsive part of VHe is simulated by a hard-sphere (HS) potential. The thermodynamics of this system of HS bosons, with the T temperature scale (HSET), is investigated, first, by the Bogoliubov-Huang method and next by a modified version of this method, which takes approximate account of those terms of the 2-body repulsion which are linear in the zero-momentum Bose operators a0, a * 0 (originally rejected by Bogoliubov). Theoretical heat capacity CV (T ) exhibits good agreement, below 2.1 K, with the experimental heat capacity graph observed in 4 He at saturated vapour pressure. The phase transition to the low-temperature phase , with a Bose-Einstein condensate, occurs in the HSET at T λ =2.17 K, and is accompanied, in the modified HSET version, by a singularity of CV (T ). Other thermal properties of HSET, such as the momentum distribution function, the fraction of atoms in the momentum condensate and normal fluid density, agree qualitatively with those of 4 He, but improve those of the free Bose gas.

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Dressed Bosons and Effective Temperature — A Formalism for Helium Ii

Maćkowiak¹,

Borycki²

2012

Int. J. Mod. Phys. B

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The thermodynamics of a free Bose gas with effective temperature scaleT and hardsphere Bose gas with theT scale are studied.T arises as the temperature experienced by a single particle in a quantum gas with 2-body harmonic oscillator interaction Vosc, which at low temperatures is expected to simulate, almost correctly, the attractive part of the interatomic potential V He between 4 He atoms. The repulsive part of V He is simulated by a hard-sphere (HS) potential. The thermodynamics of this system of HS bosons, with theT temperature scale (HSET), and particle mass and density equal to those of 4 He, is investigated, first, by the Bogoliubov-Huang method and next by an improved version of this method, which describes He II in terms of dressed bosons and takes approximate account of those terms of the 2-body repulsion which are linear in the zero-momentum Bose operators a 0 , a * 0 (originally rejected by Bogoliubov). Theoretical heat capacity C V (T ) exhibits good agreement, below 1.9 K, with the experimental heat capacity graph observed in 4 He at saturated vapour pressure. The phase transition to the He II phase, occurs in the HSET at T λ = 2.17 K, and is accompanied, in the modified HSET version, by a singularity of C V (T ). The fraction of atoms in the momentum condensate at 0 K equals 8.86% and agrees with other theoretical estimates for He II. The fraction of normal fluid falls to 8.37% at 0 K which exceeds the value 0% found in He II.

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On the Kondo Problem and Thermodynamics of Dilute Magnetic Alloys

Cited by 5 publications

References 38 publications

Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence

Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence

A refined Bogoliubov-Huang approach to helium II thermodynamics

Dressed Bosons and Effective Temperature — A Formalism for Helium Ii

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