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Article: Correlated insulating phases in the twisted bilayer graphene
Title | Correlated insulating phases in the twisted bilayer graphene |
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Authors | |
Keywords | twisted bilayer graphene correlated insulator quamtum Monte Carlo simulation |
Issue Date | 2021 |
Publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/1674-1056/ |
Citation | Chinese Physics B, 2021, v. 30 n. 1, article no. 017305 How to Cite? |
Abstract | We review analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. We show that by constructing localized Wannier states for the narrow bands, the projected Coulomb interactions can be approximated by interactions of cluster charges with assisted nearest neighbor hopping terms. With the interaction part only, the Hamiltonian is SU(4) symmetric considering both spin and valley degrees of freedom. In the strong coupling limit where the kinetic terms are neglected, the ground states are found to be in the SU(4) manifold with degeneracy. The kinetic terms, treated as perturbation, break this large SU(4) symmetry and propel the appearance of intervalley coherent state, quantum topological insulators, and other symmetry-breaking insulating states. We first present the theoretical analysis of moiré lattice model construction and then show how to solve the model with large-scale quantum Monte Carlo simulations in an unbiased manner. We further provide potential directions such that from the real-space model construction and its quantum many-body solutions how the perplexing yet exciting experimental discoveries in the correlation physics of twisted bilayer graphene can be gradually understood. This review will be helpful for the readers to grasp the fast growing field of the model study of twisted bilayer graphene. |
Persistent Identifier | http://hdl.handle.net/10722/296331 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 0.350 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liao, Y | - |
dc.contributor.author | Xu, XY | - |
dc.contributor.author | Meng, ZY | - |
dc.contributor.author | Kang, J | - |
dc.date.accessioned | 2021-02-22T04:53:47Z | - |
dc.date.available | 2021-02-22T04:53:47Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Chinese Physics B, 2021, v. 30 n. 1, article no. 017305 | - |
dc.identifier.issn | 1674-1056 | - |
dc.identifier.uri | http://hdl.handle.net/10722/296331 | - |
dc.description.abstract | We review analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. We show that by constructing localized Wannier states for the narrow bands, the projected Coulomb interactions can be approximated by interactions of cluster charges with assisted nearest neighbor hopping terms. With the interaction part only, the Hamiltonian is SU(4) symmetric considering both spin and valley degrees of freedom. In the strong coupling limit where the kinetic terms are neglected, the ground states are found to be in the SU(4) manifold with degeneracy. The kinetic terms, treated as perturbation, break this large SU(4) symmetry and propel the appearance of intervalley coherent state, quantum topological insulators, and other symmetry-breaking insulating states. We first present the theoretical analysis of moiré lattice model construction and then show how to solve the model with large-scale quantum Monte Carlo simulations in an unbiased manner. We further provide potential directions such that from the real-space model construction and its quantum many-body solutions how the perplexing yet exciting experimental discoveries in the correlation physics of twisted bilayer graphene can be gradually understood. This review will be helpful for the readers to grasp the fast growing field of the model study of twisted bilayer graphene. | - |
dc.language | eng | - |
dc.publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/1674-1056/ | - |
dc.relation.ispartof | Chinese Physics B | - |
dc.rights | Chinese Physics B. Copyright © Institute of Physics Publishing Ltd. | - |
dc.rights | This is an author-created, un-copyedited version of an article published in Chinese Physics B. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1674-1056/abcfa3 | - |
dc.subject | twisted bilayer graphene | - |
dc.subject | correlated insulator | - |
dc.subject | quamtum Monte Carlo simulation | - |
dc.title | Correlated insulating phases in the twisted bilayer graphene | - |
dc.type | Article | - |
dc.identifier.email | Meng, ZY: zymeng@hku.hk | - |
dc.identifier.authority | Meng, ZY=rp02524 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1088/1674-1056/abcfa3 | - |
dc.identifier.scopus | eid_2-s2.0-85100302346 | - |
dc.identifier.hkuros | 321407 | - |
dc.identifier.volume | 30 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | article no. 017305 | - |
dc.identifier.epage | article no. 017305 | - |
dc.identifier.isi | WOS:000611523000001 | - |
dc.publisher.place | United Kingdom | - |