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Electronic properties of slid bilayer graphene: effective models in low energy range
A generic tight-binding model for 2 p z electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like...
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| Published in: | The European physical journal. B, Condensed matter physics Condensed matter physics, 2020-10, Vol.93 (10), Article 190 |
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| cites | cdi_FETCH-LOGICAL-c392t-3d75e1c94e5b814c7cd05041d94800790e653790ecf2be598fa5689bf71c0d5a3 |
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| container_issue | 10 |
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| container_title | The European physical journal. B, Condensed matter physics |
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| creator | Ho, Sy-Ta Le, Hoang Anh Nguyen, Van Duy Do, Van-Nam |
| description | A generic tight-binding model for 2
p
z
electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like slid bilayer graphene (SBG). It is shown that, for the former case, the electronic structure is characterized by a gauge vector field which couples to the sliding vector to deform the band structure of the AA-stacked configuration as a perturbation. For the latter case, since the A–B interlayer coupling is the most dominant, it allows separating the energy bands and lowering the 4 × 4 Hamiltonian into a 2 × 2 effective model. A gauge vector field also appears, but different from the AA-like SBGs, it plays the role similar to an in-plane magnetic field.
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| doi_str_mv | 10.1140/epjb/e2020-10328-6 |
| format | article |
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p
z
electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like slid bilayer graphene (SBG). It is shown that, for the former case, the electronic structure is characterized by a gauge vector field which couples to the sliding vector to deform the band structure of the AA-stacked configuration as a perturbation. For the latter case, since the A–B interlayer coupling is the most dominant, it allows separating the energy bands and lowering the 4 × 4 Hamiltonian into a 2 × 2 effective model. A gauge vector field also appears, but different from the AA-like SBGs, it plays the role similar to an in-plane magnetic field.
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p
z
electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like slid bilayer graphene (SBG). It is shown that, for the former case, the electronic structure is characterized by a gauge vector field which couples to the sliding vector to deform the band structure of the AA-stacked configuration as a perturbation. For the latter case, since the A–B interlayer coupling is the most dominant, it allows separating the energy bands and lowering the 4 × 4 Hamiltonian into a 2 × 2 effective model. A gauge vector field also appears, but different from the AA-like SBGs, it plays the role similar to an in-plane magnetic field.
Graphical abstract</description><subject>Analysis</subject><subject>Bilayers</subject><subject>Brillouin zones</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Electronic properties</subject><subject>Electronic structure</subject><subject>Energy bands</subject><subject>Fields (mathematics)</subject><subject>Fluid- and Aerodynamics</subject><subject>Graphene</subject><subject>Graphite</subject><subject>Interlayers</subject><subject>Magnetic fields</subject><subject>Perturbation</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Solid State Physics</subject><subject>System effectiveness</subject><issn>1434-6028</issn><issn>1434-6036</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kclKBDEQhhtRcH0BTwFPHlorWy_eRNxAEFzOIZ2utBl6Om3So87bm3FE8SI5VEi-r1Lkz7JDCieUCjjFcdacIgMGOQXOqrzYyHao4CIvgBebP3tWbWe7Mc4AgBZU7GRPlz2aKfjBGTIGP2KYHEbiLYm9a0njer3EQLqgxxcc8IygtUlwb0jmvsU-EjeQ3r-TdBm6JQl66HA_27K6j3jwXfey56vLp4ub_O7--vbi_C43vGZTzttSIjW1QNlUVJjStCBB0LYWFUBZAxaSr4qxrEFZV1bLoqobW1IDrdR8Lzta902Tvy4wTmrmF2FITyomJDBWVzVL1Mma6nSPyg3WT0GbtFqcO-MHtC6dnxei5CXlUibh-I-QmAk_pk4vYlS3jw9_WbZmTfAxBrRqDG6uw1JRUKto1Coa9RWN-opGFUniaykmOP1X-J37H-sTqM-R8g</recordid><startdate>20201001</startdate><enddate>20201001</enddate><creator>Ho, Sy-Ta</creator><creator>Le, Hoang Anh</creator><creator>Nguyen, Van Duy</creator><creator>Do, Van-Nam</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20201001</creationdate><title>Electronic properties of slid bilayer graphene: effective models in low energy range</title><author>Ho, Sy-Ta ; Le, Hoang Anh ; Nguyen, Van Duy ; Do, Van-Nam</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-3d75e1c94e5b814c7cd05041d94800790e653790ecf2be598fa5689bf71c0d5a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analysis</topic><topic>Bilayers</topic><topic>Brillouin zones</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Electronic properties</topic><topic>Electronic structure</topic><topic>Energy bands</topic><topic>Fields (mathematics)</topic><topic>Fluid- and Aerodynamics</topic><topic>Graphene</topic><topic>Graphite</topic><topic>Interlayers</topic><topic>Magnetic fields</topic><topic>Perturbation</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><topic>Solid State Physics</topic><topic>System effectiveness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ho, Sy-Ta</creatorcontrib><creatorcontrib>Le, Hoang Anh</creatorcontrib><creatorcontrib>Nguyen, Van Duy</creatorcontrib><creatorcontrib>Do, Van-Nam</creatorcontrib><collection>CrossRef</collection><collection>Science (Gale in Context)</collection><jtitle>The European physical journal. B, Condensed matter physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ho, Sy-Ta</au><au>Le, Hoang Anh</au><au>Nguyen, Van Duy</au><au>Do, Van-Nam</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Electronic properties of slid bilayer graphene: effective models in low energy range</atitle><jtitle>The European physical journal. B, Condensed matter physics</jtitle><stitle>Eur. Phys. J. B</stitle><date>2020-10-01</date><risdate>2020</risdate><volume>93</volume><issue>10</issue><artnum>190</artnum><issn>1434-6028</issn><eissn>1434-6036</eissn><abstract>A generic tight-binding model for 2
p
z
electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like slid bilayer graphene (SBG). It is shown that, for the former case, the electronic structure is characterized by a gauge vector field which couples to the sliding vector to deform the band structure of the AA-stacked configuration as a perturbation. For the latter case, since the A–B interlayer coupling is the most dominant, it allows separating the energy bands and lowering the 4 × 4 Hamiltonian into a 2 × 2 effective model. A gauge vector field also appears, but different from the AA-like SBGs, it plays the role similar to an in-plane magnetic field.
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| ispartof | The European physical journal. B, Condensed matter physics, 2020-10, Vol.93 (10), Article 190 |
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| language | eng |
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| source | Springer Link |
| subjects | Analysis Bilayers Brillouin zones Complex Systems Condensed Matter Physics Electronic properties Electronic structure Energy bands Fields (mathematics) Fluid- and Aerodynamics Graphene Graphite Interlayers Magnetic fields Perturbation Physics Physics and Astronomy Regular Article Solid State Physics System effectiveness |
| title | Electronic properties of slid bilayer graphene: effective models in low energy range |
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