Electronic Heat Capacity and Susceptibility of Small Metal Particles

Denton, Richard V.; Mühlschlegel, B.; Scalapino, D. J.

doi:10.1103/physrevlett.26.707

Cited by 78 publications

(47 citation statements)

References 7 publications

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“…4͒. 37,38,40 However, the abrupt change of the Hall effect compared to the smooth one of the conductivity near T t cannot be explained in the frame of a single mechanism of conductivity. Following the Shklovskii model, 39 we analyze the conductivity and the Hall effect as a result of two distinct conductances G IC (T) and G hop (T) contributing to the electronic transport.…”

Section: Discussionmentioning

confidence: 99%

Quantum size effect transition in percolating nanocomposite films

Raquet

Goiran²,

Nègre

et al. 2000

Phys. Rev. B

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We report on unique electronic properties in Fe-SiO 2 nanocomposite thin films in the vicinity of the percolation threshold. The electronic transport is dominated by quantum corrections to the metallic conduction of the infinite cluster ͑IC͒. At low temperature, mesoscopic effects revealed on the conductivity, Hall-effect experiments, and low-frequency electrical noise ͑random telegraph noise and 1/f noise͒ strongly support the existence of a temperature-induced quantum size effect ͑QSE͒ transition in the metallic conduction path. Below a critical temperature related to the geometrical constriction sizes of the IC, the electronic conductivity is mainly governed by active tunnel conductance across barriers in the metallic network. The high 1/f noise level and the random telegraph noise are consistently explained by random potential modulation of the barriers transmittance due to local Coulomb charges. Our results provide evidence that a lowering of the temperature is somehow equivalent to a decrease of the metal fraction in the vicinity of the percolation limit.

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Section: Discussionmentioning

confidence: 99%

Quantum size effect transition in percolating nanocomposite films

Raquet

Goiran²,

Nègre

et al. 2000

Phys. Rev. B

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“…Their properties [1][2][3][4][5][6][7][8][9] can be divided into two areas of study, surface effects and bulk effects. The surface effects arise because of boundary conditions on the electronic wave function at the surface [10].…”

Section: Introductionmentioning

confidence: 99%

“…these powders is to look at the discreteness of the energy levels [1][2][3][4][5][6][7][8][9][10]12], a quantum mechanical effect which we expect to be realized in particles of about 200Å or less and at temperatures close to liquid helium [2]. The average energy level spacing δ of the electrons in the small particles is of the order of ǫ F /N , where ǫ F , is the Fermi energy and N the number of electrons.…”

Section: Introductionmentioning

confidence: 99%

Efectos de Tamaño Cuántico en Estado Sólido - Resonancia Magnética Nuclear de Partículas Metálicas

Gangotena

2015

Av. Cienc. Ing. (Quito)

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This work involves the preparation of small metallic particles (of diameters of 200 Å or less) possessing a nuclear spin, I = 1/2, to be used to study quantum size effects (QSE) and surface effects using continuous wave (CW) nuclear magnetic resonance (NMR) techniques. Solvation and pulse methods were used to determine longitudinal relaxation times, T1, for lead and aluminum powders, where absolute values were found to be 0.45±0.09 and 4.85±0.70 for 207 Pb and 27 Al, respectively. Approximate values for the Knight shift were also determined (0.168 average for 207 Pb and 1.24 for 27 Al). In contrast to these findings,109 Ag analysis produced values with high degree of uncertainty. Relaxation times are compared between small particle and bulk measurements, and the relaxation mechanisms and parameters are described.

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“…Such correlations may be important in mesoscopic systems. Typical examples are a finite nucleus [9], small metallic particles [10], quantum dots and disordered wires (see [11] for a review). In particular, universal conductance fluctuations have been understood in the framework of RMT [12].…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry and the spectrum of the QCD Dirac operator

Verbaarschot

2000

Nuclear Physics A

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According to the Banks-Casher formula the chiral order parameter is directly related to the spectrum of the Dirac operator. In this lecture, we will argue that some properties of the Dirac spectrum are universal and can be obtained from a random matrix theory with the global symmetries of the QCD partition function. In particular, this is true for the spectrum near zero on the scale of a typical level spacing. Alternatively, the chiral order parameter can be characterized by the zeros of the partition function. We will analyze such zeros for a random matrix model at nonzero chemical potential. IntroductionMany phenomena in nuclear physics, as for example the lightness of the pion mass and the absence of parity doublets, can be explained by the assumption that chiral symmetry is spontaneously broken. This assumption has been confirmed by numerous lattice QCD simulations (for a review see [1,2]). However, these studies also show that chiral symmetry [3] is restored at a critical temperature of T c ≈ 140 MeV . In spite of steady progress [4], the situation at nonzero baryon number density is much less clear [5]. It seems that the quenched approximation does not work [5,6], and the phase of the fermion determinant makes unquenched simulations virtually impossible.The order parameter of the chiral phase transition is the chiral condensate. It is directly related to the spectral density of the Euclidean Dirac operator [7]. One of the questions we wish to address is to what extent the Dirac spectrum shows universal features which can be obtained from a Random Matrix Theory (RMT) with the global symmetries of the QCD partition function (chiral Random Matrix Theory (chRMT)). As is well-known from the study of complex systems [8], only correlations on a scale set by the eigenvalue spacing are given by RMT. Such correlations may be important in mesoscopic systems. Typical examples are a finite nucleus [9], small metallic particles [10], quantum dots and disordered wires (see [11] for a review). In particular, universal conductance fluctuations have been understood in the framework of RMT [12]. In

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Electronic Heat Capacity and Susceptibility of Small Metal Particles

Cited by 78 publications

References 7 publications

Quantum size effect transition in percolating nanocomposite films

Quantum size effect transition in percolating nanocomposite films

Efectos de Tamaño Cuántico en Estado Sólido - Resonancia Magnética Nuclear de Partículas Metálicas

Chiral symmetry and the spectrum of the QCD Dirac operator

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