Dual topological insulator device with disorder robustness

Focassio, Bruno; Schleder, Gabriel R.; Pezo, Armando; Costa, Marcio; Fazzio, Adalberto

doi:10.1103/physrevb.102.045414

Cited by 18 publications

(13 citation statements)

References 61 publications

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“…These results are in agreement with the results of Ref. [40] for amorphous H-bismuthene and defective topological systems, including stanene [79] and 2D Na 3 Bi [80]. The insets in Fig.…”

Section: Electronic Transportsupporting

confidence: 92%

“…The enhanced on/off ratio reveals that the amorphous TIs can aid the realization of QSHI-based devices at room temperature. This temperature effect is proportional to the band gap, and varies for different TIs [80,83]. Realizing amorphous materials with topological properties is desirable to hinder the interference of bulk transport at finite temperature, screening only the transport response of topological edge states, as in Fig.…”

Section: Breaking Time-reversal Symmetrymentioning

confidence: 99%

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Structural and electronic properties of realistic two-dimensional amorphous topological insulators

Focassio,

Schleder,

Costa

et al. 2020

Preprint

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We investigate the structure and electronic spectra properties of two-dimensional amorphous bismuthene structures and show that these systems are topological insulators. We employ a realistic modeling of amorphous geometries together with density functional theory for electronic structure calculations. We investigate the system topological properties throughout the amorphization process and find that the robustness of the topological phase is associated with the spin-orbit coupling strength and size of the pristine topological gap. Using recursive non-equilibrium Green's function, we study the electronic transport properties of nanoribbons devices with lengths comparable to experimentally synthesized materials. We find a 2e 2 /h conductance plateau within the topological gap and an onset of Anderson localization at the trivial insulator phase.

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“…These results are in agreement with the results of Ref. [40] for amorphous H-bismuthene and defective topological systems, including stanene [79] and 2D Na 3 Bi [80]. The insets in Fig.…”

Section: Electronic Transportsupporting

confidence: 92%

Section: Breaking Time-reversal Symmetrymentioning

confidence: 99%

Structural and electronic properties of realistic two-dimensional amorphous topological insulators

Focassio,

Schleder,

Costa

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…A typical situation of this sort is in the physics of topological insulators, where interfaces separate regions of θ = 0 and θ = π, both values being consistent with CP or time reversal invariance. Duality of topological insulators has been reported theoretically in [31,32] and experimentally in [50,51]. Some theoretical possibilities for analog topological magnetoelectric effects in gravity were considered in [14].…”

Section: Discussionmentioning

confidence: 97%

Duality and higher Buscher rules in p-form gauge theory and linearized gravity

Chatzistavrakidis,

Karagiannis,

Ranjbar

2020

Preprint

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We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, p-form gauge fields, linearized gravitons or (p, 1) mixed symmetry tensors. Following a similar reasoning to the derivation of the Buscher rules for string background fields under T-duality, we show that the couplings for all classes of aforementioned multi-field theories transform according to one of two sets of duality rules. These sets comprise the ordinary Buscher rules and their higher counterpart; this is a generic feature of multi-field theories in spacetime dimensions where the field strength and its dual are of the same degree. Our analysis takes into account topological theta terms and generalized B-fields, whose behavior under duality is carefully tracked. For a 1-form or a graviton in 4D, this reduces to the inversion of the complexified coupling or generalized metric under electric/magnetic duality. Moreover, we write down an action for linearized gravity in the presence of θ-term from which we obtain previously suggested on-shell duality and double duality relations. This also provides an explanation for the origin of theta in the gravitational duality relations as a specific additional sector of the linearized gravity action.

show abstract

“…A typical situation of this sort is in the physics of topological insulators, where interfaces separate regions of

θ = 0

and

θ = π

, both values being consistent with CP or time reversal invariance. Duality of topological insulators has been reported theoretically in [31, 32] and experimentally in [50, 51]. Some theoretical possibilities for analog topological magnetoelectric effects in gravity were considered in [14].…”

Section: Discussionmentioning

confidence: 99%

Duality and Higher Buscher Rules in p‐Form Gauge Theory and Linearized Gravity

Chatzistavrakidis

Karagiannis

Ranjbar

2021

Fortschritte der Physik

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We perform an in‐depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, p‐form gauge fields, linearized gravitons or (p, 1) mixed symmetry tensors. Following a similar reasoning to the derivation of the Buscher rules for string background fields under T‐duality, we show that the couplings for all classes of aforementioned multi‐field theories transform according to one of two sets of duality rules. These sets comprise the ordinary Buscher rules and their higher counterpart; this is a generic feature of multi‐field theories in spacetime dimensions where the field strength and its dual are of the same degree. Our analysis takes into account topological theta terms and generalized B‐fields, whose behavior under duality is carefully tracked. For a 1‐form or a graviton in 4D, this reduces to the inversion of the complexified coupling or generalized metric under electric/magnetic duality. Moreover, we write down an action for linearized gravity in the presence of θ‐term from which we obtain previously suggested on‐shell duality and double duality relations. This also provides an explanation for the origin of theta in the gravitational duality relations as a specific additional sector of the linearized gravity action.

show abstract

Dual topological insulator device with disorder robustness

Cited by 18 publications

References 61 publications

Structural and electronic properties of realistic two-dimensional amorphous topological insulators

Structural and electronic properties of realistic two-dimensional amorphous topological insulators

Duality and higher Buscher rules in p-form gauge theory and linearized gravity

Duality and Higher Buscher Rules in p‐Form Gauge Theory and Linearized Gravity

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