Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle

doi:10.1088/1674-1056/abe1aa

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 70302-070302.doi: 10.1088/1674-1056/abe1aa

Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle

Guang-Hua Xiong(熊光华), Chao-Yun Long(龙超云)^†, and He Su(苏贺)

Department of Physics, Guizhou University, Guiyang 550025, China

收稿日期:2020-11-20 修回日期:2020-12-31 接受日期:2021-02-01 出版日期:2021-06-22 发布日期:2021-06-22
通讯作者: Chao-Yun Long E-mail:chaoyunlong@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11565009).

Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle

Guang-Hua Xiong(熊光华), Chao-Yun Long(龙超云)^†, and He Su(苏贺)

Department of Physics, Guizhou University, Guiyang 550025, China

Received:2020-11-20 Revised:2020-12-31 Accepted:2021-02-01 Online:2021-06-22 Published:2021-06-22
Contact: Chao-Yun Long E-mail:chaoyunlong@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11565009).

摘要/Abstract

摘要： The Dirac-Weyl equation characterized quasi-particles in the T3 lattice are studied under external magnetic field using the generalized uncertainty principle (GUP). The energy spectrum of the quasi-particles is found by the Nikiforov-Uvarov method. Based on the energy spectrum obtained, the thermodynamic properties are given, and the influence of the GUP on the statistical properties of systems is discussed. The results show that the energy and thermodynamic functions of massless Dirac-Weyl fermions in the T3 lattice depend on the variation of the GUP parameter.

关键词: T3 lattice, massless Dirac-Weyl fermions, generalized uncertainty principle, thermodynamic property

Abstract: The Dirac-Weyl equation characterized quasi-particles in the T3 lattice are studied under external magnetic field using the generalized uncertainty principle (GUP). The energy spectrum of the quasi-particles is found by the Nikiforov-Uvarov method. Based on the energy spectrum obtained, the thermodynamic properties are given, and the influence of the GUP on the statistical properties of systems is discussed. The results show that the energy and thermodynamic functions of massless Dirac-Weyl fermions in the T3 lattice depend on the variation of the GUP parameter.

Key words: T3 lattice, massless Dirac-Weyl fermions, generalized uncertainty principle, thermodynamic property

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

05.70.Ce (Thermodynamic functions and equations of state) 05.30.Fk (Fermion systems and electron gas)

Guang-Hua Xiong(熊光华), Chao-Yun Long(龙超云), and He Su(苏贺). Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle[J]. 中国物理B, 2021, 30(7): 70302-070302.

Guang-Hua Xiong(熊光华), Chao-Yun Long(龙超云), and He Su(苏贺). Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle[J]. Chin. Phys. B, 2021, 30(7): 70302-070302.

参考文献

[1] Pedram P 2010 Int. J. Mod. Phys. D 19 2003
[2] Das S and Vagenas E C 2009 Can. J. Phys. 87 233
[3] Majumder B 2011 Phys. Rev. D 84 064031
[4] Pedram P 2012 Phys. Lett. B 714 317
[5] Nozari K and Etemadi A 2012 Phys. Rev. D 85 104029
[6] Menculini L, Panella O and Roy P 2013 Phys. Rev. D 87 065017
[7] Nozari K, Pedram P and Molkara M 2012 Int. J. Theor. Phys. 51 1268
[8] Ali A F, Das S and Vagenas E C 2009 Phys. Lett. B 678 497
[9] Maggiore M 1993 Phys. Lett. B 319 83
[10] Nouicer K 2006 J. Phys. A: Math. Gen. 39 5125
[11] Adler R J, Chen P and Santiago D I 2001 Gen. Relat. Gravit. 33 2101
[12] Kempf A and Niemeyer J C 2001 Phys. Rev. D 64 103501
[13] Easther R, Greene B R, Kinney W H and Shiu G 2001 Phys. Rev. D 64 103502
[14] Hassan S F and Sloth M S 2003 Nucl. Phys. B 674 434
[15] Chang L N, Minic D, Okamura N and Takeuchi T 2002 Phys. Rev. D 65 125028
[16] Cohen A G, Kaplan D B and Nelson A E 1999 Phys. Rev. Lett. 82 4971
[17] Hořava P and Minic D 2000 Phys. Rev. Lett. 85 1610
[18] Shen R, Shao L B, Wang B and Xing D Y 2010 Phys. Rev. B 81 041410
[19] Lewenstein M, Sanpera A, Ahufinger V, Damski B, Sende A and Sen U 2006 Adv. Phys. 56 243
[20] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
[21] Apaja V, Hyrkäs M and Manninen M 2010 Phys. Rev. A 82 041402
[22] Grynberg G, Lounis B, Verkerk P, Courtois J Y and Salomon C 1993 Phys. Rev. Lett. 70 2249
[23] Bercioux D, Urban D F, Grabert H and Häusler W 2009 Phys. Rev. A 80 063603
[24] Guo H M and Franz M 2009 Phys. Rev. B 80 113102
[25] Goldman N, Urban D F and Bercioux D 2011 Phys. Rev. A 83 063601
[26] Liu G, Zhu S L, Jiang S, Sun F and Liu W M 2010 Phys. Rev. A 82 053605
[27] Weeks C and Franz M 2010 Phys. Rev. B 82 085310
[28] Green D, Santos L and Chamon C 2010 Phys. Rev. B 82 075104
[29] Stanescu T D, Galitski V and Das S S 2010 Phys. Rev. A 82 013608
[30] Goldman N, Satija I, Nikolic P, Bermudez A, Martin-Delgado M A, Lewenstein M and Spielman I B 2010 Phys. Rev. Lett. 105 255302
[31] Sun K, Yao H, Fradkin E and Kivelson S A 2009 Phys. Rev. Lett. 103 046811
[32] Guo H M and Franz M 2009 Phys. Rev. Lett. 103 206805
[33] Fu L, Kane C K and Mele E J 2007 Phys. Rev. Lett. 98 106803
[34] Kargarian M and Fiete G A 2010 Phys. Rev. B 82 085106
[35] Sutherland B 1986 Phys. Rev. B 34 5208
[36] Bercioux D, Goldman N and Urban D F 2011 Phys. Rev. A 83 023609
[37] Cheng Y F, Jiao K S, Pan L F, Cao Z Z and Li X Y 2014 Phys. Scr. 89 075803
[38] Tazimi N and Ghasempour A 2020 Adv. High Energy Phys. 2020 2541837
[39] Yazarloo B H, Hassanabadi H and Zarrinkamar S 2012 Eur. Phys. J. Plus 127 51
[40] Gao J and Zhang M C 2016 Chin. Phys. Lett. 33 10303
[41] Alsddi K S 2014 Chin. Phys. Lett. 31 120301
[42] Zhang M C 2013 Chin. Phys. Lett. 30 110301
[43] Eshghi M, Sever R and Ikhdair S M 2018 Chin. Phys. B 27 020301
[44] Ikhdair and Sameer M 2011 J. Math. Phys. 52 052303
[45] Hassanabadi H, Hosseini S S, Boumali A and Zarrinkamar S 2014 J. Math. Phys. 55 033502
[46] Wang B Q, Long Z W, Long C Y and Wu S R 2018 Indina J. Phys. 92 1419
[47] Boumali A 2016 Acta Phys. Pol. B 47 2067
[48] Wu S R, Long Z W, Long C Y, Wang B Q and Liu Y 2017 Eur. Phys. J. Plus 132 186
[49] Boumali A 2014 arXiv:1409.6205 [quant-ph]
[50] Pacheco M H, Landim R R and Almeida C A S 2003 Phys. Lett. A 311 93
[51] Boumali A and Hassanabadi H 2013 Eur. Phys. J. Plus 128 124
[52] Boumali A 2007 Phys. Scr. 76 669
[53] Yazdankish E 2020 Int. J. Mod. Phys. E 29 2050032
[54] Hamzavi M, Ikhdair S M and Amirfakhrian M 2012 Eur. Phys J. Plus 127 149
[55] Zhang M C, Sun G H and Dong S H 2010 Phys. Lett. A 374 704
[56] Miranda M G, Sun G H and Dong S H 2010 Int. J. Mod. Phys. E 19 123

Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle

Thermodynamic properties of massless Dirac-Weyl fermions under the generalized uncertainty principle

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 13

Metrics

本文评价

推荐阅读 0

[1]	秦伟, 王怀玉, 龙桂鲁. Thermodynamic properties of Heisenberg magnetic systems[J]. 中国物理B, 2014, 23(3): 37502-037502.
[2]	李强, 杨俊升, 黄多辉, 曹启龙, 王藩侯. Phase transition and thermodynamic properties of ThO₂：Quasi-harmonic approximation calculations and anharmonic effects[J]. Chin. Phys. B, 2014, 23(1): 17101-017101.
[3]	黄烁, 张川晖, 孙婧, 申江. The influence of 3d-metal alloy additions on the elastic and thermodynamic properties of CuPd₃[J]. 中国物理B, 2013, 22(8): 83401-083401.
[4]	李强, 黄多辉, 曹启龙, 王藩侯. Phase transition and thermodynamic properties of BiFeO₃ from first-principles calculations[J]. 中国物理B, 2013, 22(3): 37101-037101.
[5]	B. Y. Thakore, S. G. Khambholja, A. Y. Vahora, N. K. Bhatt, A. R. Jani. Thermodynamic properties of 3C–SiC[J]. 中国物理B, 2013, 22(10): 106401-106401.
[6]	赵仁, 张丽春, 武月琴, 李怀繁. Generalized uncertainty principle and tunnelin gradiation of the SAdS₅ black hole[J]. 中国物理B, 2010, 19(1): 10402-010402.
[7]	习锋, 蔡灵仓. Theoretical study of a melting curve for tin[J]. 中国物理B, 2009, 18(7): 2898-2900.
[8]	门福殿, 刘慧, 范召兰, 朱后禹. Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field[J]. 中国物理B, 2009, 18(7): 2649-2653.
[9]	赵仁, 武月琴, 张丽春. Entropy of the rotating and charged black string to all orders in the Planck length[J]. 中国物理B, 2009, 18(5): 1749-1754.
[10]	杨则金, 郭云东, 王光昶, 李劲, 戴伟, 刘锦超, 程新路, 杨向东. Electronic and thermodynamic and elastic properties of pyrite RuO₂[J]. 中国物理B, 2009, 18(11): 4981-4987.
[11]	于景新, 傅敏, 姬广富, 陈向荣. Phase transition and thermodynamic properties of TiO₂ from first-principles calculations[J]. 中国物理B, 2009, 18(1): 269-274.
[12]	王永亮, 艾琼, 陈向荣, 蔡灵仓. Structural and thermodynamic properties of wurtzite-type aluminium nitride from first-principles calculations[J]. 中国物理B, 2007, 16(12): 3783-3789.
[13]	周晓林, 刘科, 陈向荣, 朱俊. Structural and thermodynamic properties of AlB₂ compound[J]. 中国物理B, 2006, 15(12): 3014-3018.