Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(7): 070506    DOI: 10.1088/1674-1056/21/7/070506
GENERAL Prev   Next  

Effects of anisotropy and magnetic fields on the specific heat of a quasi-two-dimensional Boltzmann gas in an elliptical parabolic quantum dot

Zhai Zhi-Yuan(翟智远), Li Yu-Qi(李玉奇) , and Pan Xiao-Yin(潘孝胤)
Department of Physics, Ningbo University, Ningbo 315211, China
Abstract  We investigate the effects due to anisotropy and magnetic field interaction for a quasi-two-dimensional Boltzmann gas in an elliptical parabolic quantum dot. The specific heat is studied with varying temperature, anisotropy, and magnetic field strength. The cases without and with the inclusion of the spin Zeeman interaction are considered.
Keywords:  specific heat      Zeeman interaction      anisotropy harmonic oscillator  
Received:  09 November 2011      Revised:  20 February 2012      Accepted manuscript online: 
PACS:  05.70.-a (Thermodynamics)  
  05.30.-d (Quantum statistical mechanics)  
  71.10.Ca (Electron gas, Fermi gas)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10805029), the Zhejiang Natural Science Foundation, China (Grant No. R6090717), and the K.C. Wong Magna Foundation of Ningbo University, China.
Corresponding Authors:  Pan Xiao-Yin     E-mail:  panxiaoyin@nbu.edu.cn

Cite this article: 

Zhai Zhi-Yuan(翟智远), Li Yu-Qi(李玉奇) , and Pan Xiao-Yin(潘孝胤) Effects of anisotropy and magnetic fields on the specific heat of a quasi-two-dimensional Boltzmann gas in an elliptical parabolic quantum dot 2012 Chin. Phys. B 21 070506

[1] Allan G, Bastard G, Boccara N, Lannoo M and Voos M 1986 Heterojunctions and Semiconductor Superlattices (Berlin: Springer-Verlag)
[2] MacDonald A H 1989 Quantum Hall Effect (Boston: Kluwer-Nijhoff)
[3] Marx G and Kümmel R 1991 J. Phys.: Condens. Matter 3 8237
[4] Maksym P A and Chakraborty T 1990 Phys. Rev. Lett. 65 108
[5] Chakraborty T and Pietilainen P 1988 The Fractional Quantum Hall Effect (Heidelberg: Springer-Verlag)
[6] Ren J R and Zhu H 2009 Chin. Phys. B 18 2535
[7] Prange R E and Girvin S M 1990 The Quantum Hall Effect (New York: Springer-Verlag)
[8] Men F D, Wang B F, He X G and Wei Q M 2011 Acta Phys. Sin. 60 100502 (in Chinese)
[9] Ji Z W, Zheng Y J and Xu X G 2011 Acta Phys. Sin. 60 692 (in Chinese)
[10] Yan Y Z and Hu L B 2010 Chin. Phys. B 19 047203
[11] Chakraborty T 1999 Quantum Dots (Amsterdam: Elsevier)
[12] Jacak L, Harylak P and Wojs A 1998 Quantum Dots (Heidelberg: Springer-Verlag)
[13] Markiewicz S, Meskoob M and Maneswaran B 1987 Phys. Rev. B 36 7859
[14] Maneswaran and Markiewicz R S 1989 Phys. Rev. B 39 1946
[15] Fock V 1928 Z. Phys. 47 446
[16] Darwin C G 1930 Proceedings of the Cambridge Philosophical Society 27 86
[17] Schuh B 1985 J. Phys. A: Math. Gen. 18 803
[18] Dippel O, Schmelcher P and Cederbaum L S 1994 Phys. Rev. A 49 4415
[19] Madhav A V and Chakraborty T 1994 Phys. Rev. B 49 8163
[20] Maksym P A 1996 Phys. Rev. B 53 10871
[21] Geyler V A and Margulis V A 2000 Phys. Rev. B 61 1716
[22] Rowley S E and Annett J F, private communication
[23] Reimann S M and Manninen M 2002 Rev. Mod. Phys. 74 1283
[24] Saarikoski H, Reimann S M, Harju A and Manninen M 2010 Rev. Mod. Phys. 82 2785
[25] Bogacheck E N, Bogachek E N, Scherbakov A G and Landman U 2001 Phys. Rev. B 63 115323
[26] Chaplik A V 1989 JETP Lett. 50 44
[1] Thermodynamic properties of two-dimensional charged spin-1/2 Fermi gases
Jia-Ying Yang(杨家营), Xu Liu(刘旭), Ji-Hong Qin(秦吉红), and Huai-Ming Guo(郭怀明). Chin. Phys. B, 2022, 31(6): 060504.
[2] Absence of magnetic order in dichloro [1,2-bis (diphenylphosphino) ethane] nickel2 + single crystal
Shuaiqi Ma(马帅奇), Linlin An(安琳琳), and Xiangde Zhu(朱相德). Chin. Phys. B, 2021, 30(5): 057501.
[3] Specific heat in superconductors
Hai-Hu Wen(闻海虎). Chin. Phys. B, 2020, 29(1): 017401.
[4] First principles study and comparison of vibrational and thermodynamic properties of XBi (X= In, Ga, B, Al)
Raheleh Pilevar Shahri, Arsalan Akhtar. Chin. Phys. B, 2017, 26(9): 093107.
[5] Fluctuating specific heat in two-band superconductors
Lei Qiao(乔雷), Cheng Chi(迟诚), Jiangfan Wang(王江帆). Chin. Phys. B, 2017, 26(11): 117401.
[6] Magnetocaloric and magnetic properties of La2NiMnO6 double perovskite
Masrour R, Jabar A. Chin. Phys. B, 2016, 25(8): 087502.
[7] Temperature-dependent specific heat of suspended platinum nanofilms at 80-380 K
Qin-Yi Li(李秦宜), Masahiro Narasaki(楢崎将弘), Koji Takahashi(高桥厚史), Tatsuya Ikuta(生田竜也), Takashi Nishiyama(西山贵史), Xing Zhang(张兴). Chin. Phys. B, 2016, 25(11): 114401.
[8] Theory of specific heat of vortex liquid of high Tc superconductors
Chen Bai(白晨), Cheng Chi(迟诚), Jiangfan Wang(王江帆). Chin. Phys. B, 2016, 25(10): 107404.
[9] Effects of a finite number of particles on the thermodynamic properties of a harmonically trapped ideal charged Bose gas in a constant magnetic field
Duan-Liang Xiao(肖端亮), Meng-Yun Lai(赖梦云), Xiao-Yin Pan(潘孝胤). Chin. Phys. B, 2016, 25(1): 010307.
[10] Phase transition and critical behavior ofspin-orbital coupled spinel ZnV2O4
Li Wang(王理), Rong-juan Wang(王蓉娟), Yuan-yuan Zhu(朱媛媛), Zhi-hong Lu(卢志红),Rui Xiong(熊锐), Yong Liu(刘雍), Jing Shi(石兢). Chin. Phys. B, 2016, 25(1): 016802.
[11] Monte Carlo study of the magnetic properties of spin liquid compound NiGa2S4
Zhang Kai-Cheng (张开成), Li Yong-Feng (李永峰), Liu Yong (刘永), Chi Feng (迟锋). Chin. Phys. B, 2014, 23(5): 057501.
[12] Determining the thermophysical properties of Al-doped ZnO nanoparticles by the photoacoustic technique
T. A. El-Brolossy, O. Saber, S. S. Ibrahim. Chin. Phys. B, 2013, 22(7): 074401.
[13] Thermal properties of single-walled carbon nanotube crystal
Hu Li-Jun(胡丽君), Liu Ji(刘基), Liu Zheng(刘政), Qiu Cai-Yu(邱彩玉), Zhou Hai-Qing(周海青), and Sun Lian-Feng(孙连峰) . Chin. Phys. B, 2011, 20(9): 096101.
[14] Theoretical calculations of thermophysical properties of single-wall carbon nanotube bundles
Miao Ting-Ting (缪婷婷), Song Meng-Xuan (宋梦譞), Ma Wei-Gang (马维刚), Zhang Xing (张兴). Chin. Phys. B, 2011, 20(5): 056501.
[15] Glassy phase and thermodynamics for random field Ising model on spherical lattice in magnetic field
Khalid Bannora, Galal Ismail, and Wafaa Hassan. Chin. Phys. B, 2010, 19(10): 107501.
No Suggested Reading articles found!