Anomalous Hall effect in dense QCD matter
In this letter, we investigate the anomalous Hall effect in dense QCD matter. We use here the Nambu–Jona Lasinio model as an effective model of QCD. When the dual chiral density wave which is the spatially modulated chiral condensate appears in the medium, it gives rise to two Weyl points to the sin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318306294 |
| _version_ | 1819114985952903168 |
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| author | Toshitaka Tatsumi Ryo Yoshiike Kouji Kashiwa |
| author_facet | Toshitaka Tatsumi Ryo Yoshiike Kouji Kashiwa |
| author_sort | Toshitaka Tatsumi |
| collection | DOAJ |
| description | In this letter, we investigate the anomalous Hall effect in dense QCD matter. We use here the Nambu–Jona Lasinio model as an effective model of QCD. When the dual chiral density wave which is the spatially modulated chiral condensate appears in the medium, it gives rise to two Weyl points to the single-particle energy-spectrum and then the anomalous Hall conductivity becomes nonzero. Then, dense QCD matter is analogous to the Weyl semimetal. The direct calculation of the Hall conductivity by way of Kubo's linear response theory gives the term proportional to the distance between the Weyl points. Unlike the Weyl semimetal, there appears the additional contribution induced by axial anomaly. Keywords: Anomalous Hall effect, QCD phase diagram |
| first_indexed | 2024-12-22T04:54:00Z |
| format | Article |
| id | doaj.art-74c8d8324c92448a8e7b50911c39a6c3 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-22T04:54:00Z |
| publishDate | 2018-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-74c8d8324c92448a8e7b50911c39a6c32022-12-21T18:38:25ZengElsevierPhysics Letters B0370-26932018-10-017854650Anomalous Hall effect in dense QCD matterToshitaka Tatsumi0Ryo Yoshiike1Kouji Kashiwa2Department of Physics, Kyoto University, Kyoto 606-8502, Japan; Corresponding author.Department of Physics, Kyoto University, Kyoto 606-8502, JapanFukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan; Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, JapanIn this letter, we investigate the anomalous Hall effect in dense QCD matter. We use here the Nambu–Jona Lasinio model as an effective model of QCD. When the dual chiral density wave which is the spatially modulated chiral condensate appears in the medium, it gives rise to two Weyl points to the single-particle energy-spectrum and then the anomalous Hall conductivity becomes nonzero. Then, dense QCD matter is analogous to the Weyl semimetal. The direct calculation of the Hall conductivity by way of Kubo's linear response theory gives the term proportional to the distance between the Weyl points. Unlike the Weyl semimetal, there appears the additional contribution induced by axial anomaly. Keywords: Anomalous Hall effect, QCD phase diagramhttp://www.sciencedirect.com/science/article/pii/S0370269318306294 |
| spellingShingle | Toshitaka Tatsumi Ryo Yoshiike Kouji Kashiwa Anomalous Hall effect in dense QCD matter Physics Letters B |
| title | Anomalous Hall effect in dense QCD matter |
| title_full | Anomalous Hall effect in dense QCD matter |
| title_fullStr | Anomalous Hall effect in dense QCD matter |
| title_full_unstemmed | Anomalous Hall effect in dense QCD matter |
| title_short | Anomalous Hall effect in dense QCD matter |
| title_sort | anomalous hall effect in dense qcd matter |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318306294 |
| work_keys_str_mv | AT toshitakatatsumi anomaloushalleffectindenseqcdmatter AT ryoyoshiike anomaloushalleffectindenseqcdmatter AT koujikashiwa anomaloushalleffectindenseqcdmatter |