Correlation effects in two-dimensional topological insulators

Hohenadler, Martin; Assaad, Fakher F.

doi:10.1088/0953-8984/25/14/143201

Cited by 216 publications

(231 citation statements)

References 274 publications

(1,191 reference statements)

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“…It is the ultimate sign of coherence in the sense that the dynamically induced hybridized band structure is precisely half-filled, with the chemical potential right inside the hybridization gap. Based on mean-field theories which capture very well the ground state properties it has been argued 4,5 that the Kondo insulating state can be a quantum spin Hall insulator 6,7 , thus providing an explicit example of a correlation-induced topological state 8 : the topological Kondo insulating state (TKI).…”

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confidence: 99%

Dynamically generated edge states in topological Kondo insulators

Werner

Assaad

2014

Phys. Rev. B

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Kondo insulators combine strong electronic correlations with spin orbit coupling and thereby provide a potential realization of correlated topological insulators. We present model calculations which allow us to study the onset of bulk coherence and concomitant topological edge states from the mixed valence to local moment regimes. Our real-space dynamical mean-field results include the detailed temperature dependence of the single particle spectral function on slab geometries as well as the temperature dependence of the topological invariant. The relevance of our calculations for candidate materials like SmB6 is discussed.

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confidence: 99%

Dynamically generated edge states in topological Kondo insulators

Werner

Assaad

2014

Phys. Rev. B

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“…17,18 One possible effect of electronic interactions is magnetic order that carries with it a topological phase transition (either from a non-topological system to a topological one, or from a TI to a non-topological magnetically ordered state). [19][20][21][22][23] Among the real-material proposals for systems expected to exhibit topological properties, transition metal oxides (TMO) are a promising candidate for realizing nontrivial interacting topological phases. [24][25][26][27][28][29][30][31][32][33][34][35][36] Among the bulk (as apposed to thin-film) TMO that have been theoretically studied in the context of topological phases, the irradiates have been particularly singled out.…”

Section: Introductionmentioning

confidence: 99%

Correlation effects in pyrochlore iridate thin films grown along the [111] direction

Chen

Hung

et al. 2015

Phys. Rev. B

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Over the past few years bulk pyrochlore iridates of the form A2Ir2O7 (where A is a rare earth element, Ir is iridium, and O is oxygen) have been studied as model systems for investigating the interplay of electronic correlations and strong spin-orbit coupling, particularly with the aim of finding correlation-driven topological phases. In this work, we use cellular dynamical mean field theory (CDMFT) to study effects of electronic correlations beyond Hartree-Fock theory in thin films of pyrochlore irradiates grown along the [111] direction. We focus on the bilayer and trilayer systems, and compute the phase diagrams of these systems as a function of electron-electron interaction strength, which is modeled by an on-site Hubbard interaction. By evaluating the Z2 invariant and Chern number using formulas based on the single-particle Green's function and the quasiparticle effective Hamiltonian, we show that on-site correlations can drive an interaction-induced topological phase transition, turning a time-reversal invariant topological insulator and a nearly flat band metal to a correlated Chern insulator (CI) in bilayer and trilayer systems, respectively. By comparing with the Hartree-Fock results, the CDMFT results show that quantum fluctuations enhance the robustness of the interaction-driven CI phase in the thin films. Furthermore, our numerical analysis of the quasiparticle spectrum reveals that the topological phases we find in our many-body calculations are adiabatically connected to those in the single-particle picture.

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“…[40,[50][51][52][53][54][55][56][71][72][73][74][75] for applications). However, there are several shortcomings of this approach.…”

Section: Introductionmentioning

confidence: 99%

Topological Invariants and Ground-State Wave functions of Topological Insulators on a Torus

Wang

Zhang

2014

Phys. Rev. X

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We define topological invariants in terms of the ground-state wave functions on a torus. This approach leads to precisely defined formulas for the Hall conductance in four dimensions and the topological magnetoelectric θ term in three dimensions, and their generalizations in higher dimensions. They are valid in the presence of arbitrary many-body interactions and disorder. These topological invariants systematically generalize the two-dimensional Niu-Thouless-Wu formula and will be useful in numerical calculations of disordered topological insulators and strongly correlated topological insulators, especially fractional topological insulators.

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Correlation effects in two-dimensional topological insulators

Cited by 216 publications

References 274 publications

Dynamically generated edge states in topological Kondo insulators

Dynamically generated edge states in topological Kondo insulators

Correlation effects in pyrochlore iridate thin films grown along the [111] direction

Topological Invariants and Ground-State Wave functions of Topological Insulators on a Torus

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