Appearance Potential Spectroscopy (APS): Old Method, but Applicable to Study of Nano-structures

Fukuda, Y.

doi:10.2116/analsci.26.187

Cited by 10 publications

(5 citation statements)

References 171 publications

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“…[69] (Note that the condensed-matter electronic equivalents are the "Auger Electron Spectroscopy" and the "Appearance Potential Spectroscopy." [70][71][72][73] ) By choosing 210 Pb and 206 Pb as targets, one can thus specifically study the excited neutron states of 208 Pb. If a pair is taken out above (below) the magic gap of 210 Pb, the nucleus should essentially end up in the ground state (an excited state) of 208 Pb.…”

Section: Appendix B: Excited States Two-neutron Removal Spectral Func...mentioning

confidence: 99%

Matrix‐Product State Approach to the Generalized Nuclear Pairing Hamiltonian

Rausch,

Plorin,

Peschke

et al. 2024

Annalen der Physik

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It is shown that from the point of view of the generalized pairing Hamiltonian, the atomic nucleus is a system with small entanglement and can thus be described efficiently using a 1D tensor network (matrix‐product state) despite the presence of long‐range interactions. The ground state can be obtained using the density‐matrix renormalization group (DMRG) algorithm, which is accurate up to machine precision even for large nuclei, is numerically as cheap as the widely used Bardeen‐Cooper‐Schrieffer (BCS) approach, and does not suffer from any mean‐field artifacts. This framework is applied to compute the even‐odd mass differences of all known lead isotopes from to in a very large configuration space of 13 shells between the neutron magic numbers 82 and 184 (i.e., two major shells) and find good agreement with the experiment. Pairing with non‐zero angular momentum is also considered and the lowest excited states in the full configuration space of one major shell is determined, which is demonstrated for the , isotones. To demonstrate the capabilities of the method beyond low‐lying excitations, the first 100 excited states of with singlet pairing and the two‐neutron removal spectral function of are calculated, which relate to a two‐neutron pickup experiment.

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Section: Appendix B: Excited States Two-neutron Removal Spectral Func...mentioning

confidence: 99%

Matrix‐Product State Approach to the Generalized Nuclear Pairing Hamiltonian

Rausch,

Plorin,

Peschke

et al. 2024

Annalen der Physik

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“…Vice versa, two neutrons may be stripped and added to the nucleus [67]. (Note that the condensed matter electronic equivalents are the Auger Electron Spectroscopy and the Appearance Potential Spectroscopy [68][69][70][71].) By choosing 210 Pb and 206 Pb as targets, one can thus specifically study the excited neutron states of 208 Pb.…”

Section: Excited States Two-neutron Removal Spectral Functionmentioning

confidence: 99%

The nuclear many-body problem for large, many-shell nuclei: An exact solution using tensor networks

Rausch,

Plorin,

Peschke

et al. 2021

Preprint

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We introduce an exact numerical technique to solve the nuclear pairing Hamiltonian and to determine properties such as the even-odd mass differences or spectral functions for any element within the periodic table for any number of nuclear shells. In particular, we show that the nucleus is a system with small entanglement and can thus be described efficiently using a one-dimensional tensor network (matrix-product state) despite the presence of long-range interactions. Our approach is numerically cheap and accurate to essentially machine precision, even for large nuclei.We apply this framework to compute the even-odd mass differences of all known lead isotopes from 178 Pb to 220 Pb in the very large configuration space of 13 shells between the neutron magic numbers 82 and 184 (i.e., two major shells) and find good agreement with the experiment. To go beyond the ground state, we calculate the two-neutron removal spectral function of 210 Pb which relates to a two-neutron pickup experiment that probes neutron-pair excitations across the gap of 208 Pb. Finally, we discuss the capabilities of our method to treat pairing with non-zero angular momentum. This is numerically more demanding, but one can still determine the lowest excited states in the full configuration space of one major shell with modest effort, which we demonstrate for the N = 126, Z ≥ 82 isotones.

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“…k A 2 (k, ω) plays the role of the raw spectrum in appearance-potential spectroscopy (APS) [23], a wellestablished technique that has gained some renewed interest recently [24]. The two-electron addition spectrum for the case of an empty band, with the localized spins aligned ferromagnetically, is displayed in Fig.…”

Section: Two-electron Addition Spectrum For the Empty Band Casementioning

confidence: 99%

“…Electron spectroscopy at finite filling ratio. In principle, the most direct access to observing magnetic doublon excitations is given by appearance-potential spectroscopy [23,24], where there are two additional electrons in the final state, predominantly created at the same site. This is shown in the Supplemental Material [16].…”

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confidence: 99%

Magnetic Doublon Bound States in the Kondo Lattice Model

2019

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We present a novel pairing mechanism for electrons, mediated by magnons. These paired bound states are termed "magnetic doublons". Applying numerically exact techniques (full diagonalization and the density-matrix renormalization group, DMRG) to the Kondo lattice model at strong exchange coupling J for different fillings and magnetic configurations, we demonstrate that magnetic doublon excitations exist as composite objects with very weak dispersion. They are highly stable, support a novel "inverse" colossal magnetoresistance and potentially other effects.

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Appearance Potential Spectroscopy (APS): Old Method, but Applicable to Study of Nano-structures

Cited by 10 publications

References 171 publications

Matrix‐Product State Approach to the Generalized Nuclear Pairing Hamiltonian

Matrix‐Product State Approach to the Generalized Nuclear Pairing Hamiltonian

The nuclear many-body problem for large, many-shell nuclei: An exact solution using tensor networks

Magnetic Doublon Bound States in the Kondo Lattice Model

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