THE SHIFTED-1 N-EXPANSION METHOD FOR 2-DIMENSIONAL HYDROGENIC DONOR STATES IN AN ARBITRARY MAGNETIC-FIELD

被引:33
作者
MUSTAFA, O
机构
[1] Dept. of Phys., Eastern Mediterranean Univ., Mersin
关键词
D O I
10.1088/0953-8984/5/9/017
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The shifted-1/N-expansion method has been used to study the energy levels for a 2D donor impurity in the presence of an arbitrary magnetic field. Exact analytical expressions for the energy levels at zero- and high-field limits are obtained. The calculations are carried out to the third-order correction of the shifted-1/N-expansion energy series. The results appear to be in excellent agreement with those of Martin et al.
引用
收藏
页码:1327 / 1332
页数:6
相关论文
共 17 条
[1]   IMPROVED SHIFTED 1/N EXPANSION [J].
CHRISTIANSEN, H ;
EPELE, LN ;
FANCHIOTTI, H ;
CANAL, CAG .
PHYSICAL REVIEW A, 1989, 40 (04) :1760-1764
[2]   THEORY OF HEAVY-HOLE MAGNETOEXCITONS IN GAAS-(AL,GA)AS QUANTUM-WELL HETEROSTRUCTURES [J].
DUGGAN, G .
PHYSICAL REVIEW B, 1988, 37 (05) :2759-2762
[3]   EFFECT OF MAGNETIC-FIELD ON THE ENERGY-LEVELS OF A HYDROGENIC IMPURITY CENTER IN GAAS GA1-XALXAS QUANTUM-WELL STRUCTURES [J].
GREENE, RL ;
BAJAJ, KK .
PHYSICAL REVIEW B, 1985, 31 (02) :913-918
[4]   IMPROVED WAVE-FUNCTIONS FOR LARGE-N EXPANSIONS [J].
IMBO, T ;
SUKHATME, U .
PHYSICAL REVIEW D, 1985, 31 (10) :2655-2658
[5]   ENERGY EIGENSTATES OF SPHERICALLY SYMMETRIC-POTENTIALS USING THE SHIFTED 1/N EXPANSION [J].
IMBO, T ;
PAGNAMENTA, A ;
SUKHATME, U .
PHYSICAL REVIEW D, 1984, 29 (08) :1669-1681
[6]   BINDING OF SHALLOW DONOR IMPURITIES IN QUANTUM-WELL STRUCTURES [J].
JAROSIK, NC ;
MCCOMBE, BD ;
SHANABROOK, BV ;
COMAS, J ;
RALSTON, J ;
WICKS, G .
PHYSICAL REVIEW LETTERS, 1985, 54 (12) :1283-1286
[7]   EXCITED-STATES OF THE 2-DIMENSIONAL D- CENTER IN MAGNETIC-FIELDS [J].
LARSEN, DM ;
MCCANN, SY .
PHYSICAL REVIEW B, 1992, 45 (07) :3485-3488
[8]   HYDROGENIC ENERGY-LEVELS IN 2 DIMENSIONS AT ARBITRARY MAGNETIC-FIELDS [J].
MACDONALD, AH ;
RITCHIE, DS .
PHYSICAL REVIEW B, 1986, 33 (12) :8336-8344
[9]   2-DIMENSIONAL HYDROGENLIKE ATOMS IN THE PRESENCE OF A MAGNETIC-FIELD - QUASI-FRACTIONAL APPROXIMATIONS [J].
MARTIN, P ;
RODRIGUEZNUNEZ, JJ ;
MARQUEZ, JL .
PHYSICAL REVIEW B, 1992, 45 (15) :8359-8362
[10]   2-POINT QUASI-FRACTIONAL APPROXIMANT IN PHYSICS - TRUNCATION ERROR [J].
MARTIN, P ;
BAKER, GA .
JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (06) :1470-1477