Anisotropic deconfined criticality in Dirac spin liquids
Abstract We analyze a Higgs transition from a U(1) Dirac spin liquid to a gapless ℤ2 spin liquid. This ℤ2 spin liquid is of relevance to the spin S = 1/2 square lattice antiferromagnet, where recent numerical studies have given evidence for such a phase existing in the regime of high frustration bet...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2022)141 |
| _version_ | 1828375046968573952 |
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| author | Henry Shackleton Subir Sachdev |
| author_facet | Henry Shackleton Subir Sachdev |
| author_sort | Henry Shackleton |
| collection | DOAJ |
| description | Abstract We analyze a Higgs transition from a U(1) Dirac spin liquid to a gapless ℤ2 spin liquid. This ℤ2 spin liquid is of relevance to the spin S = 1/2 square lattice antiferromagnet, where recent numerical studies have given evidence for such a phase existing in the regime of high frustration between nearest neighbor and next-nearest neighbor antiferromagnetic interactions (the J 1-J 2 model), appearing in a parameter regime between the vanishing of Néel order and the onset of valence bond solid ordering. The proximate Dirac spin liquid is unstable to monopole proliferation on the square lattice, ultimately leading to Néel or valence bond solid ordering. As such, we conjecture that this Higgs transition describes the critical theory separating the gapless ℤ2 spin liquid of the J 1-J 2 model from one of the two proximate ordered phases. The transition into the other ordered phase can be described in a unified manner via a transition into an unstable SU(2) spin liquid, which we have analyzed in prior work. By studying the deconfined critical theory separating the U(1) Dirac spin liquid from the gapless ℤ2 spin liquid in a 1/N f expansion, with N f proportional to the number of fermions, we find a stable fixed point with an anisotropic spinon dispersion and a dynamical critical exponent z ≠ 1. We analyze the consequences of this anisotropic dispersion by calculating the angular profiles of the equal-time Néel and valence bond solid correlation functions, and we find them to be distinct. We also note the influence of the anisotropy on the scaling dimension of monopoles. |
| first_indexed | 2024-04-14T07:42:23Z |
| format | Article |
| id | doaj.art-a03af7792f6c4f3283b02b066b8034b6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-14T07:42:23Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj.art-a03af7792f6c4f3283b02b066b8034b62022-12-22T02:05:27ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022713510.1007/JHEP07(2022)141Anisotropic deconfined criticality in Dirac spin liquidsHenry Shackleton0Subir Sachdev1Department of Physics, Harvard UniversityDepartment of Physics, Harvard UniversityAbstract We analyze a Higgs transition from a U(1) Dirac spin liquid to a gapless ℤ2 spin liquid. This ℤ2 spin liquid is of relevance to the spin S = 1/2 square lattice antiferromagnet, where recent numerical studies have given evidence for such a phase existing in the regime of high frustration between nearest neighbor and next-nearest neighbor antiferromagnetic interactions (the J 1-J 2 model), appearing in a parameter regime between the vanishing of Néel order and the onset of valence bond solid ordering. The proximate Dirac spin liquid is unstable to monopole proliferation on the square lattice, ultimately leading to Néel or valence bond solid ordering. As such, we conjecture that this Higgs transition describes the critical theory separating the gapless ℤ2 spin liquid of the J 1-J 2 model from one of the two proximate ordered phases. The transition into the other ordered phase can be described in a unified manner via a transition into an unstable SU(2) spin liquid, which we have analyzed in prior work. By studying the deconfined critical theory separating the U(1) Dirac spin liquid from the gapless ℤ2 spin liquid in a 1/N f expansion, with N f proportional to the number of fermions, we find a stable fixed point with an anisotropic spinon dispersion and a dynamical critical exponent z ≠ 1. We analyze the consequences of this anisotropic dispersion by calculating the angular profiles of the equal-time Néel and valence bond solid correlation functions, and we find them to be distinct. We also note the influence of the anisotropy on the scaling dimension of monopoles.https://doi.org/10.1007/JHEP07(2022)141Field Theories in Lower DimensionsTopological States of Matter1/N ExpansionRenormalization Group |
| spellingShingle | Henry Shackleton Subir Sachdev Anisotropic deconfined criticality in Dirac spin liquids Journal of High Energy Physics Field Theories in Lower Dimensions Topological States of Matter 1/N Expansion Renormalization Group |
| title | Anisotropic deconfined criticality in Dirac spin liquids |
| title_full | Anisotropic deconfined criticality in Dirac spin liquids |
| title_fullStr | Anisotropic deconfined criticality in Dirac spin liquids |
| title_full_unstemmed | Anisotropic deconfined criticality in Dirac spin liquids |
| title_short | Anisotropic deconfined criticality in Dirac spin liquids |
| title_sort | anisotropic deconfined criticality in dirac spin liquids |
| topic | Field Theories in Lower Dimensions Topological States of Matter 1/N Expansion Renormalization Group |
| url | https://doi.org/10.1007/JHEP07(2022)141 |
| work_keys_str_mv | AT henryshackleton anisotropicdeconfinedcriticalityindiracspinliquids AT subirsachdev anisotropicdeconfinedcriticalityindiracspinliquids |