Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators

Herbrych, Jacek; Środa, M.; Álvarez, Gonzalo; Mierzejewski, Marcin; Dagotto, Elbio

doi:10.1038/s41467-021-23261-2

Cited by 25 publications

(6 citation statements)

References 51 publications

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“…when creating a potential Wall), the LDOS(ω = 0, j, t) has peaks at site j = 1 and j = 6 at time t/τ = 6, indicating that the slow transfer of MZM R from j = 12 to j = 6 occurred. At t/τ = 6, we also found that the peak height of the electron-and hole-components of the local density-of-states at j = 6 are almost equal (satisfying one of the characteristic features of MZM, γ i = γ † i ) [26]. The average density n(j, t) takes values close to zero for j ≥ 7, while it is close to 0.5 for j ≤ 6 (inset of Fig.…”

mentioning

confidence: 52%

Out of Equilibrium Majoranas in Interacting Kitaev Chains

Pandey¹,

Mohanta²,

Dagotto³

2022

Preprint

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We employ a time-dependent real-space local density-of-states method to study the movement and fusion of Majorana zero modes in the 1D interacting Kitaev model, based on the time evolution of many-body states. We study the dynamics and both fusion channels of Majoranas using timedependent potentials, either Wall or Well, focusing on the local density-of-states and charge-density of fermions varying with time. For a Wall, i.e. repulsive strong potential, after fusion of Majoranas the electron (or hole) forms at ω = 0, whereas for a Well, i.e. attractive deep potential, electron (or hole) forms at ω ∼ −V , where V is the Coulomb repulsion. We also describe specific upper and lower limits on the Majorana movement needed to reduce non-adiabatic effects as well as to avoid poisoning due to decoherence, focusing on forming a full electron (or hole) after the fusion.

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confidence: 52%

Out of Equilibrium Majoranas in Interacting Kitaev Chains

Pandey¹,

Mohanta²,

Dagotto³

2022

Preprint

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“…We solved the above models in one-dimensional geometries using the accurate numerical technique density matrix renormalization group (DMRG) [54,55]. Note that a wide variety of real materials do have dominant one-dimensional geometries in their crystal structure, either chains or ladders, and recent theoretical investigations have unveiled a wide range of exotic phenomena including block, chiral, superconducting, dimerized, alternating, and Majorana states in one dimensional systems [57][58][59][60][61][62][63][64][65][66][67][68][69][70]. Thus, one dimensionality is not restrictive physically, and allows our study to be sufficiently accurate to provide reliable many-body information.…”

Section: Resultsmentioning

confidence: 99%

Magnetization dynamics fingerprints of an excitonic condensate $t_{2g}^{4}$ magnet

Kaushal,

Herbrych,

Alvarez

et al. 2021

Preprint

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The competition between spin-orbit coupling λ and electron-electron interaction U leads to a plethora of novel states of matter, extensively studied in the context of t 4 2g and t 5 2g materials, such as ruthenates and iridates. Excitonic magnets -the antiferromagnetic state of bounded electron-hole pairs -is a prominent example of phenomena driven by those competing energy scales. Interestingly, recent theoretical studies predicted that excitonic magnets can be found in the ground-state of spin-orbit-coupled t 4 2g Hubbard models. Here, we present a detailed computational study of the magnetic excitations in that excitonic magnet, employing one-dimensional chains (via density matrix renormalization group) and small two-dimensional clusters (via Lanczos). Specifically, first we show that the low-energy spectrum is dominated by a dispersive (acoustic) magnonic mode, with extra features arising from the λ = 0 state in the phase diagram. Second, and more importantly, we found a novel magnetic excitation forming a high-energy optical mode with the highest intensity at wavevector q → 0. In the excitonic condensation regime at large U , we also have found a novel high-energy π-mode composed solely of orbital excitations. These unique fingerprints of the t 4 2g excitonic magnet are important in the analysis of neutron and RIXS experiments.

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“…At the boundaries and vortex cores, a topological superconductor harbors Majorana quasiparticles, with potential value in the long-sought area of decoherence-free quantum computing [13][14][15][16][17][18] . Topological superconductivity can be induced, for example, by a Rashba spin-orbit coupling together with a magnetic field [19][20][21][22] , and also by a spatiallymodulated spin texture in proximity to a conventional superconductor [23][24][25][26] . A n th -order topological superconductor in d dimensions hosts (d−n)-dimensional Majorana states 27 .…”

Section: Introductionmentioning

confidence: 99%

Majorana corner states on the dice lattice

Mohanta

Soni²,

Okamoto³

et al. 2022

Preprint

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Lattice geometry continues providing exotic new topological phases in condensed matter physics. Exciting recent examples are the higher-order topological phases, manifesting via localized lower-dimensional boundary states. Moreover, flat electronic bands with a non-trivial topology arise in various lattices and can hold a finite superfluid density, bounded by the Chern number $C$. Here we provide a general route to analyze the topological properties of flat bands in the superconducting state. We argue that the topological superconductivity induced in a flat band with $C=n$ is of order $n$ and the associated boundary Majorana states have a complex structure when $n>1$. As example, we show that an attractive interaction in the dice lattice, that exhibits flat bands with $C=2$, gives rise to second-order topological superconductivity with mixed singlet-triplet pairing. The second-order nature of the topological superconducting phase is revealed by the zero-energy Majorana bound states at the lattice corners. These findings suggest that flat bands with a finite Chern number provide feasible platforms for inducing topological superconductivity of various orders.

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Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators

Cited by 25 publications

References 51 publications

Out of Equilibrium Majoranas in Interacting Kitaev Chains

Out of Equilibrium Majoranas in Interacting Kitaev Chains

Magnetization dynamics fingerprints of an excitonic condensate $t_{2g}^{4}$ magnet

Majorana corner states on the dice lattice

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