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Artificial Kitaev chains engineered from semiconducting quantum dots coupled by superconducting segments offer a promising route to realize and control Majorana bound states for topological quantum computation. We study a dimerized Kitaev…

Materials Science · Physics 2025-09-15 Rafael Pineda Medina , Pablo Burset , William J. Herrera

We investigate the canonical equilibrium of systems with long-range forces in competition. These forces create a modulation in the interaction potential and modulated phases appear at the system scale. The structure of these phases…

Statistical Mechanics · Physics 2015-06-12 Romain Bachelard , F. Staniscia

The Majorana zero mode in the semiconductor-superconductor nanowire is one of the promising candidates for topological quantum computing. Recently, in islands of nanowires, subgap-state energies have been experimentally observed to…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Zhan Cao , Hao Zhang , Hai-Feng Lü , Wan-Xiu He , Hai-Zhou Lu , X. C. Xie

It Is realized the theoretic - field description of Ising systems behaviour with effect of long-range interaction in two-loop approximation in three-dimensional space with using Pade-Borel resummation technique. The renorm-group equations…

Statistical Mechanics · Physics 2009-11-10 S. V. Belim

In contrast to interferometry-based quantum sensing, where interparticle interaction is detrimental, quantum many-body probes exploit such interactions to achieve quantum-enhanced sensitivity. In most of the studied quantum many-body…

Quantum Physics · Physics 2023-11-06 Rozhin Yousefjani , Xingjian He , Abolfazl Bayat

Exchanging the positions of two non-Abelian anyons transforms between many-body wavefunctions within a degenerate ground-state manifold. This behavior is fundamentally distinct from fermions, bosons and Abelian anyons. Recently, quantum…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Sebastian Miles , Francesco Zatelli , A. Mert Bozkurt , Michael Wimmer , Chun-Xiao Liu

We introduce a new type of one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing. We find three physical regimes in this model by tuning the $p$-wave pairing and the chemical potential of the system. In the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

Majorana zero modes, the elementary building blocks for the quantum bits of topological quantum computers, are known to suffer from hybridization as their wavefunctions begin to overlap. This breaks the ground state degeneracy, splitting…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Cole Peeters , Themba Hodge , Stephan Rachel

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

Bulk-boundary correspondence is a concept for topological insulators and superconductors that determines the existence of topological boundary states within the tenfold classification table. Contrary to this belief, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2023-11-16 Sang-Hoon Han , Myungjun Kang , Moon Jip Park , Sangmo Cheon

An array of superconducting islands with semiconducting nanowires in the right regime provides a macroscopic implementation of Kitaev's toy model for Majorana wires. We show that a capacitive coupling between adjacent islands leads to an…

Strongly Correlated Electrons · Physics 2015-02-12 Fabian Hassler , Dirk Schuricht

We simulate the smallest building block of the Sachdev-Ye-Kitaev (SYK) model, a system of four interacting Majorana modes. We propose a 1D Kitaev chain that has been split into three segments, i.e., two topological segments separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Tasnum Reza , Sergey M. Frolov , David Pekker

The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in…

Disordered Systems and Neural Networks · Physics 2023-10-17 Chen Cheng

The prospects for realizing a topological quantum computer have brightened since the apparent detection of Majorana fermions at the ends of semiconducting nanowires. These Majorana zero-modes persist in the presence of the strong disorder…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Sonika Johri , Rahul Nandkishore

Topological phases of matter that depend for their existence on interactions are fundamentally interesting and potentially useful as platforms for future quantum computers. Despite the multitude of theoretical proposals the only…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 D. I. Pikulin , Ching-Kai Chiu , Xiaoyu Zhu , M. Franz

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external laser field with long range interactions…

Disordered Systems and Neural Networks · Physics 2022-02-28 Titas Chanda , Jakub Zakrzewski

We study the effects of the flux configurations on the emergent Majorana fermions in the $S=1/2$ Kitaev model on a honeycomb lattice, where quantum spins are fractionalized into itinerant Majorana fermions and localized fluxes. A quantum…

Strongly Correlated Electrons · Physics 2021-06-16 Akihisa Koga , Yuta Murakami , Joji Nasu

We study the low-energy physics of a one-dimensional array of superconducting quantum dots realized by proximity coupling a semiconductor nanowire to multiple superconducting islands separated by narrow uncovered regions. The effective…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 John P. T. Stenger , Benjamin D. Woods , Sergey M. Frolov , Tudor D. Stanescu