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Relevant bibliographies by topics / KItaev spin chain

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Journal articles

Academic literature on the topic 'KItaev spin chain'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "KItaev spin chain"

1

Zvyagin, A. A. "Ground state of the biaxial spin-1/2 open chain." Low Temperature Physics 48, no. 5 (2022): 383–88. http://dx.doi.org/10.1063/10.0010202.

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The ground state behavior of the biaxial spin-1/2 chain with free open edges is studied. Using the exact Bethe ansatz solution we show that there can exist boundary bound states for many finite values of the exchange coupling constants. The non-trivial interaction between spins produces charging of the vacua of the model and boundary bound states. Our theory also describes the behavior of the spinless fermion chain with pairing (the Kitaev chain) and an interaction between fermions at neighboring sites for free open boundaries. Therefore, the simple case of noninteracting fermions simplest bou

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2

Jaworowski, Błażej, and Paweł Hawrylak. "Quantum Bits with Macroscopic Topologically Protected States in Semiconductor Devices." Applied Sciences 9, no. 3 (2019): 474. http://dx.doi.org/10.3390/app9030474.

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Current computers are made of semiconductors. Semiconductor technology enables realization of microscopic quantum bits based on electron spins of individual electrons localized by gates in field effect transistors. This results in very fragile quantum processors prone to decoherence. Here, we discuss an alternative approach to constructing qubits using macroscopic and topologically protected states realized in semiconductor devices. First, we discuss a synthetic spin-1 chain realized in an array of quantum dots in a semiconductor nanowire or in a field effect transitor. A synthetic spin-1 chai

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3

Vlasov, Alexander Yurievich. "Clifford Algebras, Spin Groups and Qubit Trees." Quanta 11, no. 1 (2022): 97–114. http://dx.doi.org/10.12743/quanta.v11i1.199.

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Representations of Spin groups and Clifford algebras derived from the structure of qubit trees are introduced in this work. For ternary trees the construction is more general and reduction to binary trees is formally defined by deletion of superfluous branches. The usual Jordan–Wigner construction also may be formally obtained in this approach by bringing the process up to trivial qubit chain (trunk). The methods can also be used for effective simulation of some quantum circuits corresponding to the binary tree structure. The modeling of more general qubit trees, as well as the relationship wi

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4

Güngördü, Utkan, and Alexey A. Kovalev. "Majorana bound states with chiral magnetic textures." Journal of Applied Physics 132, no. 4 (2022): 041101. http://dx.doi.org/10.1063/5.0097008.

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The aim of this Tutorial is to give a pedagogical introduction into realizations of Majorana fermions, usually termed as Majorana bound states (MBSs), in condensed matter systems with magnetic textures. We begin by considering the Kitaev chain model of “spinless” fermions and show how two “half” fermions can appear at chain ends due to interactions. By considering this model and its two-dimensional generalization, we emphasize intricate relation between topological superconductivity and possible realizations of MBS. We further discuss how “spinless” fermions can be realized in more physical sy

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5

Peotta, Sebastiano, Leonardo Mazza, Ettore Vicari, Marco Polini, Rosario Fazio, and Davide Rossini. "The XYZ chain with Dzyaloshinsky–Moriya interactions: from spin–orbit-coupled lattice bosons to interacting Kitaev chains." Journal of Statistical Mechanics: Theory and Experiment 2014, no. 9 (2014): P09005. http://dx.doi.org/10.1088/1742-5468/2014/09/p09005.

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6

Agrapidis, Cliò Efthimia, Jeroen van den Brink, and Satoshi Nishimoto. "Numerical Study of the Kitaev-Heisenberg chain as a spin model of the K-intercalated RuCl3." Journal of Physics: Conference Series 969 (March 2018): 012112. http://dx.doi.org/10.1088/1742-6596/969/1/012112.

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7

Mazziotti, Maria, Niccolò Scopigno, Marco Grilli, and Sergio Caprara. "Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces." Condensed Matter 3, no. 4 (2018): 37. http://dx.doi.org/10.3390/condmat3040037.

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We study one-dimensional structures that may be formed at the LaAlO 3 /SrTiO 3 oxide interface by suitable top gating. These structures are modeled via a single-band model with Rashba spin-orbit coupling, superconductivity and a magnetic field along the one-dimensional chain. We first discuss the conditions for the occurrence of a topological superconducting phase and the related formation of Majorana fermions at the chain endpoints, highlighting a close similarity between this model and the Kitaev model, which also reflects in a similar condition the formation of a topological phase. Solving

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8

Kotetes, Panagiotis. "Diagnosing topological phase transitions in 1D superconductors using Berry singularity markers." Journal of Physics: Condensed Matter 34, no. 17 (2022): 174003. http://dx.doi.org/10.1088/1361-648x/ac4f1e.

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Abstract In this work I demonstrate how to characterize topological phase transitions in BDI symmetry class superconductors (SCs) in 1D, using the recently introduced approach of Berry singularity markers (BSMs). In particular, I apply the BSM method to the celebrated Kitaev chain model, as well as to a variant of it, which contains both nearest and next nearest neighbor equal spin pairings. Depending on the situation, I identify pairs of external fields which can detect the topological charges of the Berry singularities which are responsible for the various topological phase transitions. Thes

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9

Zazunov, Alex, Albert Iks, Miguel Alvarado, Alfredo Levy Yeyati, and Reinhold Egger. "Josephson effect in junctions of conventional and topological superconductors." Beilstein Journal of Nanotechnology 9 (June 6, 2018): 1659–76. http://dx.doi.org/10.3762/bjnano.9.158.

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We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states. Using Green’s function techniques, the topological superconductor is alternatively described by the low-energy continuum limit of a Kitaev chain or by a more microscopic spinful nanowire model. We show that for the simplest S–TS tunnel junction, only the s-wave pairing correlations in a spinful TS nanowire model can generate a Josephson effect. The critical cu

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10

Yang, Wang, Alberto Nocera, Erik S. Sørensen, Hae-Young Kee, and Ian Affleck. "Classical spin order near the antiferromagnetic Kitaev point in the spin- 12 Kitaev-Gamma chain." Physical Review B 103, no. 5 (2021). http://dx.doi.org/10.1103/physrevb.103.054437.

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