Time-reversal symmetry breaking in a square lattice
The bulk conductivity of a two-dimensional system is studied assuming that time-reversal symmetry is broken by internal mechanisms. The study is carried out by direct diagonalization in order to explore the nonlinear-response provoked by the inclusion of an electric field in the system’s Hamiltonian...
- Autores:
-
Jimenez, Kevin
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/833
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/833
- Palabra clave:
- time-reversal symmetry breaking, topological insulators, anomalous quantum hall effect
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
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Time-reversal symmetry breaking in a square lattice |
| title |
Time-reversal symmetry breaking in a square lattice |
| spellingShingle |
Time-reversal symmetry breaking in a square lattice time-reversal symmetry breaking, topological insulators, anomalous quantum hall effect |
| title_short |
Time-reversal symmetry breaking in a square lattice |
| title_full |
Time-reversal symmetry breaking in a square lattice |
| title_fullStr |
Time-reversal symmetry breaking in a square lattice |
| title_full_unstemmed |
Time-reversal symmetry breaking in a square lattice |
| title_sort |
Time-reversal symmetry breaking in a square lattice |
| dc.creator.fl_str_mv |
Jimenez, Kevin |
| dc.contributor.author.none.fl_str_mv |
Jimenez, Kevin |
| dc.contributor.other.none.fl_str_mv |
Reslen, Jose |
| dc.subject.keywords.spa.fl_str_mv |
time-reversal symmetry breaking, topological insulators, anomalous quantum hall effect |
| topic |
time-reversal symmetry breaking, topological insulators, anomalous quantum hall effect |
| description |
The bulk conductivity of a two-dimensional system is studied assuming that time-reversal symmetry is broken by internal mechanisms. The study is carried out by direct diagonalization in order to explore the nonlinear-response provoked by the inclusion of an electric field in the system’s Hamiltonian. The system displays a quantized conductivity that depends on the intensity of the field and under specific conditions the conductivity limit at zero electric field displays a nonvanishing value. |
| publishDate |
2020 |
| dc.date.submitted.none.fl_str_mv |
2020-11-22 |
| dc.date.issued.none.fl_str_mv |
2021-04-06 |
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2022-11-15T19:38:20Z |
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2022-11-15T19:38:20Z |
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https://hdl.handle.net/20.500.12834/833 |
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10.1088/2399-6528/ABF024 |
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Universidad del Atlántico |
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Repositorio Universidad del Atlántico |
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https://hdl.handle.net/20.500.12834/833 |
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10.1088/2399-6528/ABF024 Universidad del Atlántico Repositorio Universidad del Atlántico |
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eng |
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eng |
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Sede Norte |
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Journal of Physics Communications |
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Universidad del Atlántico |
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Jimenez, Kevin84839ccb-e094-46e9-8b40-8d3a04649c71Reslen, Jose2022-11-15T19:38:20Z2022-11-15T19:38:20Z2021-04-062020-11-22https://hdl.handle.net/20.500.12834/83310.1088/2399-6528/ABF024Universidad del AtlánticoRepositorio Universidad del AtlánticoThe bulk conductivity of a two-dimensional system is studied assuming that time-reversal symmetry is broken by internal mechanisms. The study is carried out by direct diagonalization in order to explore the nonlinear-response provoked by the inclusion of an electric field in the system’s Hamiltonian. The system displays a quantized conductivity that depends on the intensity of the field and under specific conditions the conductivity limit at zero electric field displays a nonvanishing value.application/pdfenghttp://creativecommons.org/licenses/by-nc/4.0/Attribution-NonCommercial 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Journal of Physics CommunicationsTime-reversal symmetry breaking in a square latticePúblico generaltime-reversal symmetry breaking, topological insulators, anomalous quantum hall effectinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaSede Norte[1] Jimenez K and Reslen J 2016 Thermodynamic signatures of an underlying quantum phase transition: A grand canonical approach Phys. Lett.A 380 2603[2] Sakurai J 1994 Symmetry in Quantum Mechanics Modern Quantum Mechanics, Revised Edition (New York: Addison-Wesley) 4 248–82[3] Hasan M and Kane C 2010 Colloquium: topological insulators Rev. Mod. Phys. 82 3045[4] Qi X and Zhang S 2010 The quantum spin Hall effect and topological insulators Phys. Today 63 33[5] Qi X and Zhang S 2011 Topological insulators and superconductors Reviews of Modern Physics 83 1057[6] Kane C and Mele E 2005 Z2Topological order and the quantum spin hall effect Phys. Rev. Lett. 95 146802[7] Thouless D, Kohmoto M, Nightingale M and den Nijs M 1982 Quantized Hall conductance in a two-dimensional periodic potential Phys. Rev. Lett. 49 405[8] Laughlin R 1981 Quantized Hall conductivity in two dimensions Phys. Rev. B 23 5632[9] Sinova J, Valenzuela S, Wunderlich J, Back C and Jungwirth T 2015 Spin Hall effects Review of Modern Physics 87 1213[10] Kohmoto M 1985 Topological invariant and quantization of the Hall conductance Ann. Phys. 160 343[11] Weng H, Yu R, Hu X, Dai X and Fang Z 2015 Quantum anomalous Hall effect and related topological electronic states Adv. Phys. 64 227[12] He K, Wang Y and Xue Q 2014 Quantum anomalous Hall effect Natl Sci. Rev. 1 38[13] Roushan P, Seo J, Parker C, Hor Y, Hsieh D, Qian D, Richardella A, Hasan M, Cava R and Yazdani A 2009 Topological surface states protected from backscattering by chiral spin texture Nature 460 1106[14] Zhang T et al 2009 Experimental demonstration of topological surface states protected by time-reversal symmetry Phys. Rev. Lett. 103 266803[15] Chang Cet al 2013 Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator Science 340 167[16] Checkelsky J, Yoshimi R, Tsukazaki A, Takahashi K, Kozuka Y, Falson J, Kawasaki M and Tokura Y 2014 Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator Nat. Phys. 10 731[17] Chang C, Zhao W, Kim D, Zhang H, Assaf B, Heiman D, Zhang S, Liu C, Chan M and Moodera J 2015 High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator Science 14 473[18] Yu R, Zhang W, Zhang H, Zhang S, Dai X and Fang Z 2010 Quantized anomalous Hall effect in magnetic topological insulators Science 329 61[19] Galitski V and Spielman I 2013 Spin-orbit coupling in quantum gases Nature 494 49[20] Kolkowitz S, Bromley S, Bothwell T, Wall M, Marti G, Koller A, Zhang X, Rey A and Ye J 2016 Spin-orbit-coupled fermions in an optical lattice clock Nature 1[21] Kubo R 1957 Statistical-mechanical theory of irreversible processes. I. General theory and simple applications to magnetic and conduction problemsJ. Phys. Soc. Jpn. 12 570[22] Konig M, Wiedmann S, Brune C, Roth A, Buhmann H, Molenkamp LW, Qi X L and Zhang S C 2007 Quantum spin Hall insulator state in HgTe quantum wells Science 318 766http://purl.org/coar/resource_type/c_6501LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/833/3/license.txt67e239713705720ef0b79c50b2ececcaMD53ORIGINALJimenez_2021_J._Phys._Commun._5_045001.pdfJimenez_2021_J._Phys._Commun._5_045001.pdfapplication/pdf609034https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/833/1/Jimenez_2021_J._Phys._Commun._5_045001.pdf71d503cfa5332fe60634dd5853c02205MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/833/2/license_rdf24013099e9e6abb1575dc6ce0855efd5MD5220.500.12834/833oai:repositorio.uniatlantico.edu.co:20.500.12834/8332022-11-15 14:38:21.746DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.coVMOpcm1pbm9zIGdlbmVyYWxlcyBkZWwgUmVwb3NpdG9yaW8gSW5zdGl0dWNpb25hbCBkZSBsYSBVbml2ZXJzaWRhZCBkZWwgQXRsw6FudGljbwoKRWwgKGxvcykgYXV0b3IgKGVzKSBoYW4gYXNlZ3VyYWRvIChuKSBsbyBzaWd1aWVudGUgc29icmUgbGEgb2JyYSBhIGludGVncmFyIGVuIGVsIFJlcG9zaXRvcmlvIEluc3RpdHVjaW9uYWwsIHF1ZToKCuKXjwlFcyBvcmlnaW5hbCwgZGUgc3UgZXhjbHVzaXZhIGF1dG9yw61hLCBzZSByZWFsaXrDsyBzaW4gdmlvbGFyIG8gdXN1cnBhciBkZXJlY2hvcyBkZSBhdXRvciBkZSB0ZXJjZXJvcyB5IHBvc2VlIGxhIHRpdHVsYXJpZGFkLgril48JQXN1bWlyw6FuIGxhIHJlc3BvbnNhYmlsaWRhZCB0b3RhbCBwb3IgZWwgY29udGVuaWRvIGEgbGEgb2JyYSBhbnRlIGxhIEluc3RpdHVjacOzbiB5IHRlcmNlcm9zLgril48JQXV0b3JpemFuIGEgdMOtdHVsbyBncmF0dWl0byB5IHJlbnVuY2lhcyBhIHJlY2liaXIgZW1vbHVtZW50b3MgcG9yIGxhcyBhY3RpdmlkYWRlcyBxdWUgc2UgcmVhbGljZW4gY29uIGVsbGEsIHNlZ8O6biBzdSBsaWNlbmNpYS4KCgpMYSBVbml2ZXJzaWRhZCBkZWwgQXRsw6FudGljbywgcG9yIHN1IHBhcnRlLCBzZSBjb21wcm9tZXRlIGEgYWN0dWFyIGVuIGxvcyB0w6lybWlub3MgZXN0YWJsZWNpZG9zIGVuIGxhIExleSAyMyBkZSAxOTgyIHkgbGEgRGVjaXNpw7NuIEFuZGluYSAzNTEgZGUgMTk5MywgZGVtw6FzIG5vcm1hcyBnZW5lcmFsZXMgc29icmUgbGEgbWF0ZXJpYSB5IGVsIEFjdWVyZG8gU3VwZXJpb3IgMDAxIGRlIDE3IGRlIG1hcnpvIGRlIDIwMTEsIHBvciBtZWRpbyBkZWwgY3VhbCBzZSBleHBpZGUgZWwgRXN0YXR1dG8gZGUgUHJvcGllZGFkIEludGVsZWN0dWFsIGRlIGxhIFVuaXZlcnNpZGFkIGRlbCBBdGzDoW50aWNvLgoKUG9yIMO6bHRpbW8sIGhhbiBzaWRvIGluZm9ybWFkb3Mgc29icmUgZWwgdHJhdGFtaWVudG8gZGUgZGF0b3MgcGVyc29uYWxlcyBwYXJhIGZpbmVzIGFjYWTDqW1pY29zIHkgZW4gYXBsaWNhY2nDs24gZGUgY29udmVuaW9zIGNvbiB0ZXJjZXJvcyBvIHNlcnZpY2lvcyBjb25leG9zIGNvbiBhY3RpdmlkYWRlcyBwcm9waWFzIGRlIGxhIGFjYWRlbWlhLCBiYWpvIGVsIGVzdHJpY3RvIGN1bXBsaW1pZW50byBkZSBsb3MgcHJpbmNpcGlvcyBkZSBsZXkuCgpMYXMgY29uc3VsdGFzLCBjb3JyZWNjaW9uZXMgeSBzdXByZXNpb25lcyBkZSBkYXRvcyBwZXJzb25hbGVzIHB1ZWRlbiBwcmVzZW50YXJzZSBhbCBjb3JyZW8gZWxlY3Ryw7NuaWNvIGhhYmVhc2RhdGFAbWFpbC51bmlhdGxhbnRpY28uZWR1LmNvCg== |