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We show that networks of topological nanowires can realize the physics of exactly solvable Kitaev spin models with two-body interactions. This connection arises from the description of the low-energy theory of both systems in terms of a…

介观与纳米尺度物理 · 物理学 2014-02-26 Graham Kells , Ville Lahtinen , Jiri Vala

We design a driven superconducting box with four spins S=1/2 (qubits) such that coupled devices can give insight on the occurrence of quantum spin liquids and many-body Majorana states. Within one box or island, we introduce a generalized…

强关联电子 · 物理学 2018-08-01 Fan Yang , Loïc Henriet , Ariane Soret , Karyn Le Hur

We present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative…

强关联电子 · 物理学 2017-12-19 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

We write down a class of two-dimensional quantum spin-1/2 Hamiltonians whose eigenspectra are exactly solvable via the Jordan-Wigner transformation. The general structure corresponds to a suitable grid composed of XY or XX-Ising spin chains…

强关联电子 · 物理学 2025-09-03 Sumiran Pujari

Majorana zero bound mode exists in the vortex core of a chiral $p+ip$ superconductor or superfluid, which can be driven from an s-wave pairing state by two-dimensional (2D) spin-orbit (SO) coupling. We propose here a novel scheme based on…

强关联电子 · 物理学 2014-02-27 Xiong-Jun Liu , K. T. Law , T. K. Ng

Motivated by the fact that the idealized Kitaev chain toy model and the experimental semiconductor-superconductor Majorana nanowire can both host the Majorana zero modes, we theoretically investigate the question to what extent the two…

介观与纳米尺度物理 · 物理学 2023-02-01 Haining Pan , Sankar Das Sarma

We show that the coupling of homogeneous Heisenberg spin-1/2 ladders in different phases leads to the formation of interfacial zero energy Majorana bound states. Unlike Majorana bound states at the interfaces of topological quantum wires,…

We propose a hierarchical architecture for building "logical" Majorana zero modes using "physical" Majorana zero modes at the Y-junctions of a hexagonal network of semiconductor nanowires. Each Y-junction contains three "physical"…

介观与纳米尺度物理 · 物理学 2019-04-24 Zhi-Cheng Yang , Thomas Iadecola , Claudio Chamon , Christopher Mudry

We investigate the minimal Kitaev spin liquid on a single hexagon with three Ising-type exchange interactions proportional to $K_{x}$, $K_{y}$ and $K_{z}$. In the limit $K_{z}=0$, we find 32-fold zero-energy states, leading to 10 free…

强关联电子 · 物理学 2024-01-03 Motohiko Ezawa

We theoretically study how to design spin couplings in networks of Majorana Cooper pair boxes (MCBs) connected by multiple normal-metal leads. The inter-box interaction is generated by the conduction-electron-mediated…

介观与纳米尺度物理 · 物理学 2026-03-04 Manato Teranishi , Shintaro Hoshino , Ai Yamakage

We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson resonating valence bond (RVB) states can be understood, as an effective model, in…

强关联电子 · 物理学 2017-11-15 Karyn Le Hur , Ariane Soret , Fan Yang

Spin-orbit coupled semiconducting nanowires with proximity-induced superconductivity are expected to host Majorana zero modes at their endpoints when a sufficiently strong magnetic field is applied. The resulting phase would be a…

介观与纳米尺度物理 · 物理学 2017-11-22 David J. Clarke

The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{i\theta}$, where $\theta$ is…

介观与纳米尺度物理 · 物理学 2026-02-06 Stijn R. de Wit , Emre Duman , A. Mert Bozkurt , Alexander Brinkman , Inanc Adagideli

We theoretically investigate Majorana zero modes emerging in an anisotropic XY spin chain with second neighbor interactions. The spin chain is mathematically equivalent to the Kitaev chain composing of spinless fermions if only…

强关联电子 · 物理学 2021-08-18 Kazuhiro Wada , Takanori Sugimoto , Takami Tohyama

We present a scheme to use physical Majorana quasi-zero modes at each junction of a two-dimensional nanowire network to build a logical Majorana zero mode, the location of which is controllable through gate voltages. The wire-network is a…

介观与纳米尺度物理 · 物理学 2023-02-15 Sayandip Dhara , Garry Goldstein , Claudio Chamon , Eduardo R. Mucciolo

The coupling of the spin and the motion of charge carriers stems directly from the atomic structure of a conductor. It has become an important ingredient for the emergence of topological matter, and, in particular, topological…

Spin-orbit coupling in solids describes an interaction between an electron's spin, an internal quantum-mechanical degree of freedom, with its linear momentum, an external property. Spin-orbit interaction, due to its relativistic nature, is…

介观与纳米尺度物理 · 物理学 2014-08-07 J. Shabani , Younghyun Kim , A. P. McFadden , R. M. Lutchyn , C. Nayak , C. J. palmstrøm

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

量子物理 · 物理学 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

Spin-orbital liquids provide an exactly solvable route to three-dimensional Z2 quantum spin liquids beyond the original Kitaev setting. Built from higher-dimensional Clifford-algebra representations, spin-orbital Hamiltonians can be…

强关联电子 · 物理学 2026-02-09 Anna Sandberg , Lukas Rødland , Maria Hermanns

We propose and investigate a new platform for the realization of Majorana zero modes in a thin-film heterostructure composed of an easy-plane ferromagnet and a superconductor with spin-orbit coupling. The system can support an energetically…

超导电性 · 物理学 2023-01-04 Vedangi Pathak , Sayak Dasgupta , Marcel Franz
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