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Article: General response theory of topologically stable Fermi points and its implications for disordered cases
Title | General response theory of topologically stable Fermi points and its implications for disordered cases |
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Authors | |
Issue Date | 2015 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ |
Citation | Physical Review B (Condensed Matter and Materials Physics), 2015, v. 92 n. 8, article no. 085143 How to Cite? |
Abstract | © 2015 American Physical Society.We develop a general response theory of gapless Fermi points with nontrivial topological charges for gauge and nonlinear sigma fields, which asserts that the topological character of the Fermi points is embodied as the terms with discrete coefficients proportional to the corresponding topological charges. Applying the theory to the effective nonlinear sigma models for topological Fermi points with disorders in the framework of replica approach, we derive rigorously the Wess-Zumino terms with the topological charges being their levels in the two complex symmetry classes of A and AIII. Intriguingly, two nontrivial examples of quadratic Fermi points with the topological charge 2 are respectively illustrated for the classes A and AIII. We also address a qualitative connection of topological charges of Fermi points in the real symmetry classes to the topological terms in the nonlinear sigma models, based on the one-to-one classification correspondence. |
Persistent Identifier | http://hdl.handle.net/10722/237121 |
ISSN | 2014 Impact Factor: 3.736 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhao, Y. X. | - |
dc.contributor.author | Wang, Z. D. | - |
dc.date.accessioned | 2016-12-20T06:48:40Z | - |
dc.date.available | 2016-12-20T06:48:40Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Physical Review B (Condensed Matter and Materials Physics), 2015, v. 92 n. 8, article no. 085143 | - |
dc.identifier.issn | 1098-0121 | - |
dc.identifier.uri | http://hdl.handle.net/10722/237121 | - |
dc.description.abstract | © 2015 American Physical Society.We develop a general response theory of gapless Fermi points with nontrivial topological charges for gauge and nonlinear sigma fields, which asserts that the topological character of the Fermi points is embodied as the terms with discrete coefficients proportional to the corresponding topological charges. Applying the theory to the effective nonlinear sigma models for topological Fermi points with disorders in the framework of replica approach, we derive rigorously the Wess-Zumino terms with the topological charges being their levels in the two complex symmetry classes of A and AIII. Intriguingly, two nontrivial examples of quadratic Fermi points with the topological charge 2 are respectively illustrated for the classes A and AIII. We also address a qualitative connection of topological charges of Fermi points in the real symmetry classes to the topological terms in the nonlinear sigma models, based on the one-to-one classification correspondence. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ | - |
dc.relation.ispartof | Physical Review B (Condensed Matter and Materials Physics) | - |
dc.rights | Copyright 2015 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevB.92.085143 | - |
dc.title | General response theory of topologically stable Fermi points and its implications for disordered cases | - |
dc.type | Article | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevB.92.085143 | - |
dc.identifier.scopus | eid_2-s2.0-84941101756 | - |
dc.identifier.hkuros | 253467 | - |
dc.identifier.volume | 92 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | article no. 085143 | - |
dc.identifier.epage | article no. 085143 | - |
dc.identifier.eissn | 1550-235X | - |
dc.identifier.isi | WOS:000359943400009 | - |
dc.identifier.issnl | 1098-0121 | - |