Magnetic-field-induced quantum phase transitions in the two-impurity Anderson model

Zhu, Lujun; Zhu, Jian

doi:10.1103/physrevb.83.245110

Cited by 3 publications

(2 citation statements)

References 41 publications

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“…This indicate the absence of the Schottky type behavior as there is no peak observed for Eσf = -5.0 and v increases from 0.1 to 1.0. This indicates the absence of degeneracy [8]. From the ranges of values obtained from Eσf ranging from -0.5 to -0.4 shows that the Specific Heat (SH) resembles that of a Kondo system.…”

Section: Resultsmentioning

confidence: 84%

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Suppressed HF Behaviour in the Periodic Anderson Model

Okunzuwa

Ejere

2018

ESJ

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The periodic Anderson model is applied to 4 electrons on 4 sites with periodic boundary conditions. We applied magnetic field to the localized forbitals, Eσf. The number of electrons is taken to be one per site and the interactions between different sites is restricted to nearest neighbors. The many body eigenvalues are calculated exactly using exact diagonalization technique. We find that the specific heat is suppressed by the variation of the band energy of the localized f-orbitals as mediated by the application of the magnetic field, H, under various hybridization energy. A continuous suppression of the specific heat reduces the heavy fermion behavior in the system.

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Section: Resultsmentioning

confidence: 84%

“…When a grand-canonical ensemble is considered we can deduce a number of static thermodynamic properties. The partition function is the trace of an operator Z [Zhu. and Zhu 2001].…”

Section: Methodsmentioning

confidence: 99%

Suppressed HF Behaviour in the Periodic Anderson Model

Okunzuwa

Ejere

2018

ESJ

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Singularity in self-energy and composite fermion excitations of interacting electrons

Zhu

2013

Phys. Rev. B

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We study the coherent excitations of a composite fermion operator fiσ(−1) n iσ , where fiσ is the fermion operator for interacting electrons and niσ is the number operator of electrons with the opposite spin. In the two-impurity Anderson model, we show that the excitation of this composite fermion has a finite spectral weight near the Fermi energy in the regime dominated by inter-site spin exchange coupling where the Kondo fixed point is prevented. From scattering off this coherent composite fermion mode, the excitation of the regular fermion fiσ develops a pseudogap and its selfenergy is singular. Conversely, when the regular fermion develops Kondo-resonance in the Kondo regime, the excitation of the composite fermion develops a pseudogap instead. We argue that the composite fermion could develop a Fermi surface but "hidden" from charge excitations in lattice generalizations.

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Modulation of magnetotransport in asymmetrically coupled double quantum dot system

2016

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We study the transport properties in double quantum dots asymmetrically coupled to leads in magnetic field. We focus on the situation in which the second dot (QD2) couples with the leads with a weak hybridization function. The results shows that by tuning the energy level [Formula: see text] of QD2 one can control the conductance and its spin polarization of the system. In the absence of magnetic field [Formula: see text], with increasing [Formula: see text], the conductance shows a dip structure. This behavior of conductance results from a continuous triplet–doublet quantum phase transition. In the presence of magnetic field [Formula: see text], we obtain a perfect spin filtering with a fully-polarized conductance of up-spin or down-spin.

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Magnetic-field-induced quantum phase transitions in the two-impurity Anderson model

Cited by 3 publications

References 41 publications

Suppressed HF Behaviour in the Periodic Anderson Model

Suppressed HF Behaviour in the Periodic Anderson Model

Singularity in self-energy and composite fermion excitations of interacting electrons

Modulation of magnetotransport in asymmetrically coupled double quantum dot system

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