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Spin chains proximitized with superconducting condensates have emerged as one of the most promising platforms for the realization of Majorana modes. Here, we craft diluted spin chains atom-by-atom following seminal theoretical proposal…

We study superconducting pairing in the doped Kitaev-Heisenberg model by taking into account the recently proposed symmetric off-diagonal exchange $\Gamma$. By performing a mean-field analysis, we classify all possible superconducting…

Superconductivity · Physics 2018-01-17 Johann Schmidt , Daniel D. Scherer , Annica M. Black-Schaffer

The formation of a topological superconducting phase in a quantum-dot-based Kitaev chain requires nearest neighbor crossed Andreev reflection and elastic co-tunneling. Here we report on a hybrid InSb nanowire in a three-site Kitaev chain…

We present an analysis of a system of weakly coupled Hubbard chains based on combining an exact study of spectral functions of the uncoupled chain system with a renormalization group method for the coupled chains. For low values of the…

Strongly Correlated Electrons · Physics 2009-11-10 J. M. P. Carmelo , F. Guinea , K. Penc , P. D. Sacramento

We extend the Yao-Kivelson decorated honeycomb lattice Kitaev model [Phys. Rev. Lett. 99,247203 (2007)] of an exactly solvable chiral spin liquid by including disordered exchange couplings. We have determined the phase diagram of this…

Strongly Correlated Electrons · Physics 2015-03-19 Victor Chua , Gregory A. Fiete

We theoretically investigate and experimentally demonstrate the existence of topological edge states in a mechanical analog of the Kitaev chain with a non-zero chemical potential. Our system is a one-dimensional monomer system involving two…

We quantitatively study the out-of-equilibrium edge-Majorana correlation in a linearly ramped one-dimensional Kitaev chain of finite length in a dissipative environment. The chemical potential is dynamically ramped to drive the chain from…

Statistical Mechanics · Physics 2020-09-23 Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

Identifying entanglement-based order parameters characterizing topological systems, in particular topological superconductors and topological insulators, has remained a major challenge for the physics of quantum matter in the last two…

Statistical Mechanics · Physics 2022-10-03 Alfonso Maiellaro , Antonio Marino , Fabrizio Illuminati

In this work, the general problem of the characterization of the topological phase of an open quantum system is addressed. In particular, we study the topological properties of Kitaev chains and ladders under the perturbing effect of a…

We investigate the subgap spectrum and transport properties of the quantum dot placed on interface between metallic and superconducting leads and additionally side-coupled to the edge of topological superconducting (TS) chain, hosting the…

Mesoscale and Nanoscale Physics · Physics 2017-01-02 J. Baranski , A. Kobialka , T. Domanski

It is widely accepted that topological superconductors can only have an effective interpretation in terms of curved geometry rather than gauge fields due to their charge neutrality. This approach is commonly employed in order to investigate…

Strongly Correlated Electrons · Physics 2020-06-24 Ashk Farjami , Matthew D. Horner , Chris N. Self , Zlatko Papić , Jiannis K. Pachos

We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-all electron hopping, electron spin exchange, and Cooper-pair hopping. An attractive on-site interaction between electrons leads to superconductivity…

Superconductivity · Physics 2023-01-26 Chenyuan Li , Subir Sachdev , Darshan G. Joshi

A quantum computer based on Majorana qubits would contain a large number of zero-energy Majorana states. This system can be modelled as a connected network of the Ising-Kitaev chains alternating the "trivial" and "topological" regions, with…

Mesoscale and Nanoscale Physics · Physics 2017-05-04 B. N. Narozhny

We study the interplay of interactions and topology in a pseudo-spin Weyl system, obtained from a minimally modified Hubbard model, using the numerically exact auxiliary-field quantum Monte Carlo method complemented by mean-field theory. We…

Strongly Correlated Electrons · Physics 2019-09-23 Peter Rosenberg , Niraj Aryal , Efstratios Manousakis

Topological phases, quite generally, are difficult to come by. They either occur under rather extreme conditions (e.g. the quantum Hall liquids, which require high sample purity, strong magnetic fields and low temperatures) or demand fine…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 M. M. Vazifeh , M. Franz

Topological phases supported by quasi-periodic spin-chain models and their bulk-boundary principles are investigated by numerical and K-theoretic methods. We show that, for both the un-correlated and correlated phases, the operator algebras…

Strongly Correlated Electrons · Physics 2024-02-13 Yifei Liu , Lea F. Santos , Emil Prodan

We theoretically study transport properties of voltage-biased one-dimensional superconductor--normal metal--superconductor tunnel junctions with arbitrary junction transparency where the superconductors can have trivial or nontrivial…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 F. Setiawan , William S. Cole , Jay D. Sau , S. Das Sarma

We investigate the role of gap states in processes of perturbation transmission along finite superconducting Kitaev chain. We look at this problem on the general ground and use the formalism of non-stationary Greens functions, which contain…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Yu. M. Bilinsky , P. I. Arseyev , N. S. Maslova

We consider a one-dimensional system combining local magnetic moments and a delocalized metallic band on top of a superconducting substrate. This system can describe a chain of magnetic impurities with both localized polarized orbitals and…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Gian Marcello Andolina , Pascal Simon

The one dimensional closed interacting Kitaev chain and the dimerized version are studied. The topological invariants in terms of Green's function are calculated by the density matrix renormalization group method and the exact…

Strongly Correlated Electrons · Physics 2018-07-03 Zhidan Li , Qiang Han