WEKO3
アイテム
Height correlation of rippled graphene and Lundeberg-Folk formula for magnetoresistance
https://doi.org/10.24789/00007407
https://doi.org/10.24789/000074079d419781-f4ca-4eae-a904-05b0b24ab841
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
本文を見る(1) (4.4 MB)
|
|
|
|
本文を見る(2) (1.9 MB)
|
|
| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2016-06-02 | |||||||||
| タイトル | ||||||||||
| タイトル | Height correlation of rippled graphene and Lundeberg-Folk formula for magnetoresistance | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| ID登録 | ||||||||||
| ID登録 | 10.24789/00007407 | |||||||||
| ID登録タイプ | JaLC | |||||||||
| 著者 |
KATORI, Makoto
× KATORI, Makoto
× GEMMA, Kazuyuki
|
|||||||||
| 著者別名 | ||||||||||
| 識別子Scheme | WEKO | |||||||||
| 識別子 | 23563 | |||||||||
| 姓名 | 香取, 眞理 | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | Application of an in-plane magnetic field to rippled graphene will make the system be a plane with randomly distributed vector potentials. Massless Dirac fermions carrying charges on graphene are scattered by the vector potentials and magnetoresistance is induced proportional to the square of amplitude of in-plane magnetic field B2∥.Recently, Lundeberg and Folk proposed a formula showing dependence of the magnetoresistance on carrier density, in which the coefficient of B2∥ is given by a functional of the height-correlation function c(r) of ripples. In the present paper, we give exact and explicit expressions of the coefficient for the two cases such that c(r) is (i) exponential and (ii) Gaussian. The results are given using well-known special functions. Application of the present solutions in the vicinity of charge neutrality point should be careful because of the possible strong density inhomogeneity in rippled graphene. Here our analytic expressions are proposed, however, as trial interpolation formulas connecting the positive high-carrier-density regime and the negative one for magnetoresistance. Numerical fitting of our solutions to experimental data were performed. It is shown that the experimental data are well-described by the formula for the Gaussian heightcorrelation of ripples in the whole region of carrier density. The standard deviation Z of ripple height and the correlation length R of ripples are evaluated, which can be compared with direct experimental measurements. | |||||||||
| 書誌情報 |
中央大学理工学研究所論文集 巻 19, p. 1-21, 発行日 2014-03-31 |
|||||||||
| 出版者 | ||||||||||
| 出版者 | 中央大学理工学研究所 | |||||||||
| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 1343-0068 | |||||||||
| 権利 | ||||||||||
| 権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||||||
| フォーマット | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | application/pdf | |||||||||
| 著者版フラグ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
