Splitting rules for the 2nd hierarchy structure of the electronic spectra of 2D FC(n) quasicrystals

被引：3

作者：

Li, F ^{[1
]}

Yang, XB ^{[1
]}

机构：

[1] S China Normal Univ, Inst Laser Life Sci, Guangzhou 510631, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL B | 2004年 / 39卷 / 04期

关键词：

D O I：

10.1140/epjb/e2004-00220-0

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

On the basis of our former work and by means of the decomposition-decimation method, we study the splitting rules for the second hierarchy of the electronic energy spectra for two-dimensional Fibonacci-class quasicrystals with one kind of atom and two bond lengths. It is found that every line of the sub-spectra for n x n and (n+1) x (n+1) clusters of FC(n)(ngreater than or equal to2) splits according to the type Y'((n-1)-2-1) and type Yn-2-1 respectively. The one for n x (n+1) clusters of FC(n) consists of three sub-subbands when nless than or equal to2, and five sub-subbranches when ngreater than or equal to3. The general formulae of the number of energy levels for the spectra of the second hierarchy are obtained. The analytical results are confirmed by numerical simulations.

引用

页码：475 / 481

页数：7

共 10 条

[1] DYNAMIC PROPERTIES OF 2-DIMENSIONAL QUASI-CRYSTALS [J].

ASHRAFF, JA ;

LUCK, JM ;

STINCHCOMBE, RB .

PHYSICAL REVIEW B, 1990, 41 (07) :4314-4329

[2] SPECTRAL STRUCTURE OF 2-DIMENSIONAL FIBONACCI QUASILATTICES [J].

FU, XJ ;

LIU, YY ;

CHENG, BL ;

ZHENG, DF .

PHYSICAL REVIEW B, 1991, 43 (13) :10808-10814

[3] Perfect self-similarity of energy spectra and gap-labeling properties in one-dimensional Fibonacci-class quasilattices [J].

Fu, XJ ;

Liu, YY ;

Zhou, PQ ;

Sritrakool, W .

PHYSICAL REVIEW B, 1997, 55 (05) :2882-2889

[4]

Huang Xiuqing, 1992, Chinese Physics Letters, V9, P609, DOI 10.1088/0256-307X/9/11/012

[5] BRANCHING-RULES OF THE ENERGY-SPECTRUM OF ONE-DIMENSIONAL QUASI-CRYSTALS [J].

LIU, YY ;

SRITRAKOOL, W .

PHYSICAL REVIEW B, 1991, 43 (01) :1110-1116

[6] RENORMALIZATION-GROUP STUDY OF ONE-DIMENSIONAL QUASI-PERIODIC SYSTEMS [J].

NIU, Q ;

NORI, F .

PHYSICAL REVIEW LETTERS, 1986, 57 (16) :2057-2060

[7] METALLIC PHASE WITH LONG-RANGE ORIENTATIONAL ORDER AND NO TRANSLATIONAL SYMMETRY [J].

SHECHTMAN, D ;

BLECH, I ;

GRATIAS, D ;

CAHN, JW .

PHYSICAL REVIEW LETTERS, 1984, 53 (20) :1951-1953

[8] ENERGY-SPECTRUM AND CONDUCTANCE OF A TWO-DIMENSIONAL QUASI-CRYSTAL [J].

UEDA, K ;

TSUNETSUGU, H .

PHYSICAL REVIEW LETTERS, 1987, 58 (12) :1272-1275

[9] Splitting rules for the electronic spectra of two-dimensional Fibonacci-class quasicrystals with one kind of atom and two bond lengths [J].

Yang, XB ;

Xing, D .

PHYSICAL REVIEW B, 2002, 65 (13) :1-6

[10] Splitting rules for spectra of two-dimensional Fibonacci quasilattices [J].

Yang, XB ;

Liu, YY .

PHYSICAL REVIEW B, 1997, 56 (13) :8054-8059

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