Few-body solutions under spin-exchange interaction: Magnetic bound state and the Kondo screening effect

Cheng, Peng; Cui, Xiaoling

doi:10.1103/physreva.102.033312

Cited by 4 publications

(4 citation statements)

References 22 publications

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“…In effort to do this, we calculate the Kondo singlet density below within the PAM-Kondo framework. The PAM model [6,7,24] on a simple cubic lattice for d and f electrons in momentum-space is as follows:…”

Section: Kondo Screeningmentioning

confidence: 99%

“…The parameters ( t f 1 , t f 2 , t f 3 ), and (t d1 , t d2 , t d3 ) correspond to the (NN, NNN, NNNN) hopping for the f and d electrons, respectively. The hybridization between the f -electrons (l = 3 and, hence, odd parity) and the conduction d-electrons (l = 2 and, hence, even parity) [6,7,24] are given by the third term. The parity is a good quantum number.…”

Section: Kondo Screeningmentioning

confidence: 99%

“…[5]) to be categorized as a strong TI; an even number of crossings corresponds to a weak TI. Our analysis is based on the Periodic Anderson Model (PAM) [6,7], which is well-suited to discuss a Kondo insulator (KI) [7]. In Section 3, we show how the strong f -electron localization makes GTKI fall into the former category.…”

Section: Introductionmentioning

confidence: 99%

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On Strong f-Electron Localization Effect in a Topological Kondo Insulator

Prakash¹,

Bera²,

Goswami³

2021

Symmetry

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We study a strong f-electron localization effect on the surface state of a generic topological Kondo insulator (TKI) system by performing a mean-field theoretic (MFT) calculation within the framework of the periodic Anderson model (PAM) using the slave boson technique. The surface metallicity, together with bulk insulation, requires this type of localization. A key distinction between surface states in a conventional insulator and a topological insulator is that, along a course joining two time-reversal invariant momenta (TRIM) in the same BZ, there will be an intersection of these surface states, an even/odd number of times, with the Fermi energy inside the spectral gap. For an even (odd) number of surface state crossings, the surface states are topologically trivial (non-trivial). The symmetry consideration and the pictorial representation of the surface band structure obtained here show an odd number of crossings, leading to the conclusion that, at least within the PAM framework, the generic system is a strong topological insulator.

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Section: Kondo Screeningmentioning

confidence: 99%

Section: Kondo Screeningmentioning

confidence: 99%

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On Strong f-Electron Localization Effect in a Topological Kondo Insulator

Prakash¹,

Bera²,

Goswami³

2021

Symmetry

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“…The two-body physics has been investigated using many systems [44][45][46][47][48], including ultracold molecules [49][50][51][52]. Recently, few spin-1/2 fermions in a 1D trap [53,54] and one and two spin-1/2 fermions interacting via the spin-exchange with the impurity [55] have also been studied. Few-body SU(N ) systems [56] and larger systems of several particles confined in 1D geometries have been investigated as well [53,[57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Two ultracold highly magnetic atoms in a one-dimensional harmonic trap

Suchorowski¹,

Dawid²,

Tomza³

2022

Preprint

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We theoretically investigate the properties of two interacting ultracold highly magnetic atoms trapped in a one-dimensional harmonic potential. The atoms interact via an anisotropic long-range dipole-dipole interaction, which in one dimension effectively can be modeled by the contact interaction. We investigate the interplay of the external magnetic field, spin-spin interaction, and trapping potential and how they affect the magnetization of the system. We show the role of indistinguishability and symmetries in the dynamics by studying the time evolution of the observables that could be measured experimentally. The presented model may depict the on-site interaction of the extended Hubbard models, therefore giving a better understanding of the fundamental building block of the respective many-body quantum simulators.

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Surface-state plasmons in topological Kondo insulator

Goswami

2022

Pramana - J Phys

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Few-body solutions under spin-exchange interaction: Magnetic bound state and the Kondo screening effect

Cited by 4 publications

References 22 publications

On Strong f-Electron Localization Effect in a Topological Kondo Insulator

On Strong f-Electron Localization Effect in a Topological Kondo Insulator

Two ultracold highly magnetic atoms in a one-dimensional harmonic trap

Surface-state plasmons in topological Kondo insulator

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