PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2013 | 11 | 12 | 1674-1679
Article title

CPT symmetry in honeycomb lattices and quantum brachistochrone problem

Content
Title variants
Languages of publication
EN
Abstracts
EN
In this paper, we have provided a matrix Hamiltonian model for honeycomb lattices and subsequently obtained the dispersion relation. Furthermore, we have constructed the C operator for the given non-Hermitian Hamiltonian model. The quadratic surfaces are sketched and the quantum Brachistochrone problem is discussed for the given honeycomb lattice model.
Publisher

Journal
Year
Volume
11
Issue
12
Pages
1674-1679
Physical description
Dates
published
1 - 12 - 2013
online
20 - 12 - 2013
Contributors
  • Department of Physics, Faculty of Science, Gazi University, 06500, Ankara, Turkey, yesiltas@gazi.edu.tr
References
  • [1] K. S. Novoselov et al., Science 306, 666 (2004) http://dx.doi.org/10.1126/science.1102896[Crossref]
  • [2] A. K. Geim, K. S. Novoselov, Nature Mater. 6, 183 (2007) http://dx.doi.org/10.1038/nmat1849[Crossref]
  • [3] J. M. Cerveró, Int. J. Theor. Phys. 50, 2134 (2011) http://dx.doi.org/10.1007/s10773-010-0635-4[Crossref]
  • [4] P. R. Wallace, Phys. Rev. 71, 622 (1947) http://dx.doi.org/10.1103/PhysRev.71.622[Crossref]
  • [5] M. Mecklenburg, B. C. Regan, Phys. Rev. Lett. 106, 116803 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.116803[Crossref]
  • [6] C. W. J. Beenakker, Rev. Mod. Phys. 80, 1337 (2008) http://dx.doi.org/10.1103/RevModPhys.80.1337[Crossref]
  • [7] H. Ramezani et al., Phys. Rev. A 85, 013818 (2012) http://dx.doi.org/10.1103/PhysRevA.85.013818[Crossref]
  • [8] C. E. Ruter et al., Nat. Phys. 6, 192 (2010) http://dx.doi.org/10.1038/nphys1515[Crossref]
  • [9] A. Guo et al., Phys. Rev. Lett. 103, 093902 (2009) http://dx.doi.org/10.1103/PhysRevLett.103.093902[Crossref]
  • [10] J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, T. Kottos, Phys. Rev. A 84, 040101(R) (2011) http://dx.doi.org/10.1103/PhysRevA.84.040101[Crossref]
  • [11] C. M. Bender, S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998) http://dx.doi.org/10.1103/PhysRevLett.80.5243[Crossref]
  • [12] A. Szameit et al., Phys. Rev. A 84, 021806(R) (2011) http://dx.doi.org/10.1103/PhysRevA.84.021806[Crossref]
  • [13] O. Panella, P. Roy, Phys. Lett. A 376, 2580 (2012) http://dx.doi.org/10.1016/j.physleta.2012.07.002[Crossref]
  • [14] M. Fagotti, C. Bonati, D. Logoteta, P. Marconcini, M. Macucci, Phys. Rev. B 83, 241406 (2011) http://dx.doi.org/10.1103/PhysRevB.83.241406[Crossref]
  • [15] A. Szameit, M. C. Rechtsman, O. Bahat-Treidel, M. Segev, Phys. Rev. A 84, 021806(R) (2011) http://dx.doi.org/10.1103/PhysRevA.84.021806[Crossref]
  • [16] K. Esaki, M. Sato, K. Hasebe, M. Kohmoto, Phys. Rev. B 84, 205128 (2011) http://dx.doi.org/10.1103/PhysRevB.84.205128[Crossref]
  • [17] C. M. Bender et al, J. Phys. A: Math. Gen. 37, 10139 (2004) http://dx.doi.org/10.1088/0305-4470/37/43/009[Crossref]
  • [18] N. Hatano, D. Nelson, Phys. Rev. Lett 77, 570 (1996) http://dx.doi.org/10.1103/PhysRevLett.77.570[Crossref]
  • [19] Y. Nakamura, N. Hatano, J. Phys. Soc. Jpn. 75, 104001 (2006) http://dx.doi.org/10.1143/JPSJ.75.104001[Crossref]
  • [20] J. Feinberg, A. Zee, Phys. Rev. E 59, 6433 (1999) http://dx.doi.org/10.1103/PhysRevE.59.6433[Crossref]
  • [21] C.-S. Jia, A. de Souza Dutra, Ann. Phys. 323, 566 (2008) http://dx.doi.org/10.1016/j.aop.2007.04.007[Crossref]
  • [22] C.-S. Jia, A. de Souza Dutra, J. Phys. A 39, 11877 (2006) http://dx.doi.org/10.1088/0305-4470/39/38/013[Crossref]
  • [23] C.-S. Jia et al., Int. J. Theor. Phys. 47, 2513 (2008) http://dx.doi.org/10.1007/s10773-008-9685-2[Crossref]
  • [24] S. Longhi, Phys. Rev. Lett. 105, 013903 (2010) http://dx.doi.org/10.1103/PhysRevLett.105.013903[Crossref]
  • [25] Ö. Yesiltas, J. Phys. A: Math. Theor. 46, 015302 (2013) http://dx.doi.org/10.1088/1751-8113/46/1/015302[Crossref]
  • [26] S. Murakami, N. Nagaosa, S.-C. Zhang, Science 301, 1348 (2003) http://dx.doi.org/10.1126/science.1087128[Crossref]
  • [27] V. M. Apalkov, T. Chakraborty, Eur. Phys. Lett. 100, 17002 (2012) http://dx.doi.org/10.1209/0295-5075/100/17002[Crossref]
  • [28] V. M. Apalkov, T. Chakraborty, Eur. Phys. Lett. 100, 67008 (2012) http://dx.doi.org/10.1209/0295-5075/100/67008[Crossref]
  • [29] P. K. Ghosh, J. Phys.: Condens. Matter 24, 145302 (2012)
  • [30] K. Esaki et al., Phys. Rev. B 84, 205128 (2011) http://dx.doi.org/10.1103/PhysRevB.84.205128[Crossref]
  • [31] M. J. Majid, S. S. Savinskii, Semiconductors 47, 141 (2013) http://dx.doi.org/10.1134/S1063782612120111[Crossref]
  • [32] A. Carlini, Phys. Rev. Lett. 96, 060503 (2006) http://dx.doi.org/10.1103/PhysRevLett.96.060503[Crossref]
  • [33] A. M. Frydryszak, V. M. Tkachuk, Phys. Rev. A 77(1), 014103 (2008) http://dx.doi.org/10.1103/PhysRevA.77.014103[Crossref]
  • [34] C. M. Bender, D. C. Brody, H. F. Jones, B. K. Meister, Phys. Rev. Lett. 98, 040403 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.040403[Crossref]
  • [35] U. Günther, B. F. Samsonov, Phys. Rev. Lett. 101, 230404 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.230404[Crossref]
  • [36] P. E. G. Assis, A. Fring, J. Phys. A: Math. Theor. 41, 244002 (2008) http://dx.doi.org/10.1088/1751-8113/41/24/244002[Crossref]
  • [37] A. Mostafazadeh, Phys. Rev. Lett. 99, 130502 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.130502[Crossref]
  • [38] C. M. Bender et al., Phil. Trans. Roy. Soc. A-Math. Phys. Eng. Sci. 371, 20120160 (2013) http://dx.doi.org/10.1098/rsta.2012.0160[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0319-9
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.