Three-dimensional fractional topological insulators in coupled Rashba layers

Volpez, Yanick; Loss, Daniel; Klinovaja, Jelena

doi:10.1103/physrevb.96.085422

Cited by 17 publications

(14 citation statements)

References 76 publications

(125 reference statements)

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“…Depending on the origin, two different types of antisymmetric SOC can be considered in noncentrosymmetric systems, which derived from bulk (Dresselhaus) 54 and structure (Rashba) 55 inversion asymmetry. The effects of the Rashba and Dresselhaus SOCs have been studied in ultra-cold fermions [56][57][58][59][60] , quantum wells 61,62 , two-dimensional (2D) NSC systems 63,64 , Weyl semimetals 65 , transition metal dichalcogenides 66 (TMDs) and half-Heusler compounds 67 . Recently, the ultra cold fermions 68,69 and superconducting TMDs such as NbSe 2 70,71 have shown protected surface states in the presence of a magnetic field as a result of Rashba and/or Dresselhaus.…”

Section: Introductionmentioning

confidence: 99%

Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors

et al. 2018

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Recently the influence of antisymmetric spin-orbit coupling has been studied in novel topological superconductors such as half-Heuslers and artificial hetero-structures. We investigate the effect of Rashba and/or Dresselhaus spin-orbit couplings on the band structure and topological properties of a two-dimensional noncentrosymetric superconductor. For this goal, the topological helical edge modes are analyzed for different spin-orbit couplings as well as for several superconducting pairing symmetries. To explore the transport properties, we examine the response of the spin-polarized edge states to an exchange field in a superconductor-ferromagnet heterostructure. The broken chiral symmetry causes the uni-directional currents at opposite edges.

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Section: Introductionmentioning

confidence: 99%

Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors

et al. 2018

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“…Originally pioneered for the integer (Lee, 1994;Yakovenko, 1991) and fractional quantum Hall effects (Kane et al, 2002;Teo and Kane, 2014) in two dimensions, these ideas have been generalized and used to engineer essentially all types of topological states of matter. Given that the wires are modelled as Luttinger liquids, electron-electron interactions are intrinsically embedded into these systems, thus allowing to analytically study the interacting versions of these topological systems including fractional topological insulators (Iadecola et al, 2016;Klinovaja and Tserkovnyak, 2014;Klinovaja et al, 2015;Meng, 2015;Meng et al, 2015;Meng and Sela, 2014;Neupert et al, 2014;Sagi and Oreg, 2015;Volpez et al, 2017). In principle, it seems possible to experimentally build such wire networks thus underlining the importance of coupled-wire constructions.…”

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confidence: 99%

Interacting topological insulators: a review

2018

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The discovery of the quantum spin Hall effect and topological insulators more than a decade ago has revolutionized modern condensed matter physics. Today, the field of topological states of matter is one of the most active and fruitful research areas for both experimentalists and theorists. The physics of topological insulators is typically well described by band theory and systems of non-interacting fermions. In contrast, several of the most fascinating effects in condensed matter physics merely exist due to electron-electron interactions, examples include unconventional superconductivity, the Kondo effect, and the Mott-Hubbard transition. The aim of this review article is to give an overview of the manifold directions which emerge when topological bandstructures and correlation physics interfere and compete. These include the study of the stability of topological bandstructures and correlated topological insulators. Interaction-induced topological phases such as the topological Kondo insulator provide another exciting topic. More exotic states of matter such as topological Mott insulator and fractional Chern insulators only exist due to the interplay of topology and strong interactions and do not have any bandstructure analogue. Eventually the relation between topological bandstructures and frustrated quantum magnetism in certain transition metal oxides is emphasized.

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“…In order to confirm the phase diagram obtained from the bulk spectrum in the previous section, we now investigate a finite-size system and focus on the properties of the edges. We first solve the problem numerically by implementing a tight-binding model for the bilayer setup 108 . Without loss of generality, the layers are taken to be finite along the y direction, of length L (N y lattice sites separated by lattice constant a), and translationally invariant along the x direction, allowing us to use k x as a good quantum number.…”

Section: A Helical Edge Statesmentioning

confidence: 99%

Rashba sandwiches with topological superconducting phases

2018

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We introduce a versatile heterostructure harboring various topological superconducting phases characterized by the presence of helical, chiral, or unidirectional edge states. Changing parameters, such as an effective Zeeman field or chemical potential, one can tune between these three topological phases in the same setup. Our model relies only on conventional non-topological ingredients. The bilayer setup consists of an s-wave superconductor sandwiched between two two-dimensional electron gas layers with strong Rashba spin-orbit interaction. The interplay between two different pairing mechanisms, proximity induced direct and crossed Andreev superconducting pairings, gives rise to multiple topological phases. In particular, helical edge states occur if crossed Andreev superconducting pairing is dominant. In addition, an in-plane Zeeman field leads to a 2D gapless topological phase with unidirectional edge states, which were previously predicted to exist only in non-centrosymmetric superconductors. If the Zeeman field is tilted out of the plane, the system is in a topological phase hosting chiral edge states.

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Three-dimensional fractional topological insulators in coupled Rashba layers

Cited by 17 publications

References 76 publications

Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors

Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors

Interacting topological insulators: a review

Rashba sandwiches with topological superconducting phases

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