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Correlated states in magic angle twisted bilayer graphene under the optical conductivity scrutiny
Strongly Correlated Electrons · Submitted 20 Dec 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our theoretical calculations show how optical conductivity measurements can distinguish different symmetry breaking states, and reveal the nature of the correlated states.
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The abstract, sentence by sentence
Moir\'e systems displaying flat bands have emerged as novel platforms to study correlated electron phenomena. Insulating and superconducting states appear upon doping magic angle twisted bilayer graphene (TBG), and there is evidence of correlation induced effects at the charge neutrality point (CNP) which could originate from spontaneous symmetry breaking. Our theoretical calculations show how optical conductivity measurements can distinguish different symmetry breaking states, and reveal the nature of the correlated states. In the specific case of nematic order, which breaks the discrete rotational symmetry of the lattice, we find that the Dirac cones are displaced, not only in momentum space but also in energy, inducing finite Drude weight at the CNP. We also show that the sign of the dc conductivity anisotropy induced by a nematic order depends on the degree of lattice relaxation, the doping and the nature of the symmetry breaking.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Moir\'e systems displaying flat bands have emerged as novel platforms to study correlated electron phenomena. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | Insulating and superconducting states appear upon doping magic angle twisted bilayer graphene (TBG), and there is evidence of correlation induced effects at the charge neutrality point (CNP) which could originate from spontaneous symmetry breaking. | background 1.00 | 0.06 | 0.06 | hedged possibility 0.82 |
| s2 | Our theoretical calculations show how optical conductivity measurements can distinguish different symmetry breaking states, and reveal the nature of the correlated states. | contribution 0.96 | 0.94 | 0.53 | asserted 1.00 |
| s3 | In the specific case of nematic order, which breaks the discrete rotational symmetry of the lattice, we find that the Dirac cones are displaced, not only in momentum space but also in energy, inducing finite Drude weight at the CNP. | result 1.00 | 0.95 | 0.23 | asserted 1.00 |
| s4 | We also show that the sign of the dc conductivity anisotropy induced by a nematic order depends on the degree of lattice relaxation, the doping and the nature of the symmetry breaking. | result 1.00 | 0.94 | 0.14 | asserted 1.00 |
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Original abstract
Moir\'e systems displaying flat bands have emerged as novel platforms to study correlated electron phenomena. Insulating and superconducting states appear upon doping magic angle twisted bilayer graphene (TBG), and there is evidence of correlation induced effects at the charge neutrality point (CNP) which could originate from spontaneous symmetry breaking. Our theoretical calculations show how optical conductivity measurements can distinguish different symmetry breaking states, and reveal the nature of the correlated states. In the specific case of nematic order, which breaks the discrete rotational symmetry of the lattice, we find that the Dirac cones are displaced, not only in momentum space but also in energy, inducing finite Drude weight at the CNP. We also show that the sign of the dc conductivity anisotropy induced by a nematic order depends on the degree of lattice relaxation, the doping and the nature of the symmetry breaking.
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How the literature uses it
6 arXiv papers cite this in 8 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 4 papers
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The calculation of optical properties and collective modes of broken symmetry states [ref] is well beyond the scope of the present Article and is deferred to future publications.
Optical and plasmonic properties of twisted bilayer graphene: Impact of interlayer tunneling asymmetry and ground-state charge inhomogeneity · Introduction · 0.93
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Examples include similar thin materials such as silicene [ref] , transition metal dichalcogenides [ref] and very importantly a large amount of work on multi-layer materials [ref] to name a few.
Tunneling in an anisotropic cubic Dirac semi-metal · Introduction · 0.87
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Particularly notable are those derived from graphene such as twisted bilayers [ref] , and stretched and strained graphene bilayers [ref] .
Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer · Introduction · 0.96
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