# Theory of charge dynamics in bilayer electron system with long-range Coulomb interaction

https://mdr.nims.go.jp/datasets/49c12690-7712-4853-ba6b-9adbd5d25c29

## File

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## Id

49c12690-7712-4853-ba6b-9adbd5d25c29

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2025-02-26T03:45:00.327406Z

## Updated at

2025-03-03T07:30:09.241249Z

## Published at

2025-03-03T07:30:10.323937Z

## Doi

https://doi.org/10.48505/nims.5350

## First published url

https://doi.org/10.1103/physrevb.111.085138

## Date published

2025-02-19

## Recorded date published

2025-2

## Resource type

journal_article

## Manuscript type

accepted_manuscript

## Collection



## Title

- title: Theory of charge dynamics in bilayer electron system with long-range Coulomb
    interaction
  title_type: original
  lang: en

## Description

- description: 'We perform a comprehensive study of charge excitations in a bilayer
    electron system in the presence of the long-range Coulomb interaction (LRC). Our
    major point is to derive formulas of the LRC that fully respect the bilayer lattice
    structure. This is an extension of the LRC obtained by Fetter in the electron-gas
    model 50 years ago and can now be applicable to any electron density. We then
    provide general formulas of the charge susceptibility in the random phase approximation
    and study them numerically. The charge ordering tendency is not found and instead
    we find two plasmon modes: ω+ and ω− modes. Our second major point is to elucidate
    their spectral weight distribution and the effect of electron tunneling between
    the layers. The spectral weight of the ω± modes does not have 2π periodicity along
    the qzc direction; qz and c are momentum and the lattice constant along the z
    direction, respectively. The ω+ mode loses spectral weight at in-plane momentum
    q∥ = (0,0) at qzc = 2nπ with n being integer whereas the ω− mode has no spectral
    weight at qzc = 0 for any q∥ but acquires sizable spectral weight at qzc = 2nπ
    with n ̸= 0. Both ω± modes are gapped at q∥ = (0,0). When qzc is away from 2nπ,
    the ω± modes show striking behavior. When the intrabilayer hopping tz is relatively
    small (large), the ω− (ω+) mode becomes gapless at q∥ = (0,0) whereas the ω+ (ω−)
    mode retains the gap. However, when the interbilayer hopping integral tz′ is taken
    into account, the gapless mode acquires a gap at q∥ = (0, 0) and both ω± modes
    are gapped at any qzc. To highlight the special feature of the LRC, we also clarify
    a difference to the case of a short-range interaction. While the strong electron
    correlation effects are not included, the present theory captures available data
    of the charge excitations observed by resonant inelastic x-ray scattering for
    Y-based cuprate superconductors.'
  description_type: abstract
  lang: und

## Creator

- name: Hiroyuki Yamase
  role: author
  orcid: https://orcid.org/0000-0003-0328-5657

## Contact agent



## Publisher

organization: American Physical Society (APS)

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## Keyword

- subject: 電荷ダイナミクス
  schema: not_defined
- subject: プラズモン
  schema: not_defined
- subject: 長距離クーロン力
  schema: not_defined
- subject: 二層系
  schema: not_defined
- subject: 銅酸化物高温超伝導体
  schema: not_defined

## Rights

- description: "©2025 American Physical Society"
  identifier: http://rightsstatements.org/vocab/InC/1.0/

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## Journal

- title: Physical Review B
  issn: '24699950'
  volume: '111'
  issue: '8'
  article_number: '085138'

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## Funding

- identifier: JP20H01856
  funder_name: Japan Society for the Promotion of Science
- funder_name: Ministry of Education, Culture, Sports, Science and Technology

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## Fileset

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  filename: main.pdf
  content_type: application/pdf
  size: 8340616
  md5: d47cfbab4ee89acf7ea0e7b7a4d0a86c

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