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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

The one-dimensional $p$-wave superconductor, characterized by boundary Majorana modes, has attracted significant interest owing to its potential application in topological quantum computation. Similarly, spin-1/2 Kitaev ladder systems with…

强关联电子 · 物理学 2024-11-19 Haoting Xu , Hae-Young Kee

The Kitaev model is exactly solvable in terms of Majorana fermions hopping on a honeycomb lattice and coupled to a static $\mathbb{Z}_2$ gauge field, giving the possibility of $\pi$-vortices in hexagonal plaquettes. In the vortex-full…

强关联电子 · 物理学 2026-01-28 Surajit Basak , Jean-Noël Fuchs

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

强关联电子 · 物理学 2025-10-10 Kiyu Fukui , Yukitoshi Motome

A time-reversal invariant Kitaev-type model is introduced in which spins (Dirac matrices) on the square lattice interact via anisotropic nearest-neighbor and next-nearest-neighbor exchange interactions. The model is exactly solved by…

强关联电子 · 物理学 2012-04-13 Ryota Nakai , Shinsei Ryu , Akira Furusaki

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the Kitaev chains. The system undergoes…

超导电性 · 物理学 2014-05-26 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

强关联电子 · 物理学 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

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…

介观与纳米尺度物理 · 物理学 2025-10-21 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We have introduced a novel Majorana representation of S=1/2 spins using the Jordan-Wigner transformation and have shown that a generalized spin model of Kitaev defined on a brick-wall lattice is equivalent to a model of non-interacting…

强关联电子 · 物理学 2009-11-11 Xiao-Yong Feng , Guang-Ming Zhang , Tao Xiang

We introduce a one-dimensional version of the Kitaev model consisting of spins on a two-legged ladder and characterized by Z_2 invariants on the plaquettes of the ladder. We map the model to a fermionic system and identify the topological…

统计力学 · 物理学 2015-05-18 Diptiman Sen , Smitha Vishveshwara

An attempt is made to quantum simulate the topological classification, such as winding number, geometric phase and symmetry properties for a quantum simulated Kitaev chain. We find, {\alpha} (ratio between the spin-orbit coupling and…

强关联电子 · 物理学 2020-09-11 Y R Kartik , Ranjith R Kumar , S Rahul , Sujit Sarkar

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion…

强关联电子 · 物理学 2021-10-11 Wonjune Choi , Philipp W. Klein , Achim Rosch , Yong Baek Kim

We investigate the topological phases in a coupled one-dimensional p-wave superconducting Fibonacci quasicrystal modeled by the quasiperiodic Kitaev chain. Recent studies have shown that the coupled system can host topological edge modes…

超导电性 · 物理学 2026-05-07 Koki Mizuno

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

强关联电子 · 物理学 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum…

超导电性 · 物理学 2019-03-22 Kunliang Zhang , Peng Wang , Zhi Song

We introduce a tunable synthetic-dimension platform for realizing Kitaev-chain physics with high degree of control over Majorana zero modes. It is based on a generic Landau-quantized two dimensional electron system coupled to the magnetic…

介观与纳米尺度物理 · 物理学 2026-05-07 Adel Ali , Alexey Belyanin

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

We analyse in detail the effect of non-trivial band topology on the area law behaviour of the entanglement entropy in Kitaev's honeycomb model. By mapping the translationally invariant 2D spin model into 1D fermionic subsystems, we identify…

强关联电子 · 物理学 2016-10-05 Konstantinos Meichanetzidis , Mauro Cirio , Jiannis K. Pachos , Ville Lahtinen

We propose an inhomogeneous open spin ladder, related to the Kitaev honeycomb model, which can be tuned between topological and nontopological phases. In extension of Lieb's theorem, we show numerically that the ground state of the spin…

介观与纳米尺度物理 · 物理学 2012-11-13 Fabio L. Pedrocchi , Stefano Chesi , Suhas Gangadharaiah , Daniel Loss

The importance of models with an exact solution for the study of materials with non-trivial topological properties has been extensively demonstrated. Among these, the Kitaev model of a one-dimensional $p$-wave superconductor plays a guiding…

强关联电子 · 物理学 2015-11-10 T. O. Puel , P. D. Sacramento , M. A. Continentino
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