S = 1 antiferromagnetic electron-spin systems on hydrogenated phenalenyl-tessellation molecules for material-based quantum-computation resources

2021 ◽  
Vol 14 (12) ◽  
pp. 121005
Author(s):  
Naoki Morishita ◽  
Yasuhiro Oishi ◽  
Terufumi Yamaguchi ◽  
Koichi Kusakabe
Keyword(s):  
Quantum Computation ◽  
Electron Spin ◽  
Hydrogen Adsorption ◽  
Exchange Interactions ◽  
Material Design ◽  
Spin Systems ◽  
Spin Chains ◽  
Local Electron ◽  
Zero Modes ◽  
Antiferromagnetic Spin

Abstract A resource state for measurement-based quantum computation is proposed using a material design of S = 1 antiferromagnetic spin chains. Specifying hydrogen adsorption positions on polymerized phenalenyl-tessellation molecules gives rise to formation of graphene zero modes that produce local S = 1 spins or S = 1/2 spins in the required order through exchange interactions. When the S = 1 antiferromagnetic Heisenberg models serve as quantum-computation resources, hydrogen adatoms inducing zero modes can also work as local electron-spin probes in nuclear spin spectroscopy, which could be used for controlling and measuring local spins.

ONE AND QUASI-ONE DIMENSIONAL SPIN SYSTEMS

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2329-2336 ◽  
Author(s):  
Elisa Ercolessi
Keyword(s):  
Condensed Matter ◽  
Quantum Spin ◽  
Spin Systems ◽  
Spin Chains ◽  
Famous Conjecture ◽  
One Dimensional ◽  
Conformal Field ◽  
Quantum Spin Models ◽  
Low Dimensional ◽  
Antiferromagnetic Spin

Quantum spin models represent one of the most studied examples of application of low-dimensional field theories to condensed matter systems. In this paper we will review some chapters of this hystory, that dates back to the early '80, when Haldane put forward his by now famous conjecture on antiferromagnetic spin chains, and reaches the present days, with the most advanced applications of integrable models and conformal field theory.

scholarly journals Protecting quantum information in quantum dot spin chains by driving exchange interactions periodically

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
John S. Van Dyke ◽  
Yadav P. Kandel ◽  
Haifeng Qiao ◽  
John M. Nichol ◽  
Sophia E. Economou ◽  
...  
Keyword(s):  
Quantum Information ◽  
Quantum Dot ◽  
Exchange Interactions ◽  
Spin Chains

scholarly journals Majorana zero modes in impurity-assisted vortex of LiFeAs superconductor

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Lingyuan Kong ◽  
Lu Cao ◽  
Shiyu Zhu ◽  
Michał Papaj ◽  
Guangyang Dai ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Zero Mode ◽  
Scanning Tunneling ◽  
Homogeneous Material ◽  
Dirac Fermions ◽  
Tunneling Microscopy ◽  
Zero Modes ◽  
Topological Quantum ◽  
One Step ◽  
Topological Quantum Computation

AbstractThe iron-based superconductor is emerging as a promising platform for Majorana zero mode, which can be used to implement topological quantum computation. One of the most significant advances of this platform is the appearance of large vortex level spacing that strongly protects Majorana zero mode from other low-lying quasiparticles. Despite the advantages in the context of physics research, the inhomogeneity of various aspects hampers the practical construction of topological qubits in the compounds studied so far. Here we show that the stoichiometric superconductor LiFeAs is a good candidate to overcome this obstacle. By using scanning tunneling microscopy, we discover that the Majorana zero modes, which are absent on the natural clean surface, can appear in vortices influenced by native impurities. Our detailed analysis reveals a new mechanism for the emergence of those Majorana zero modes, i.e. native tuning of bulk Dirac fermions. The discovery of Majorana zero modes in this homogeneous material, with a promise of tunability, offers an ideal material platform for manipulating and braiding Majorana zero modes, pushing one step forward towards topological quantum computation.

CRITICAL EXPONENTS FOR ANTIFERROMAGNETIC SPIN CHAINS OBTAINED FROM BOSONISATION

2012 ◽  
Vol 11 ◽  
pp. 183-190 ◽  
Author(s):  
MARCEL KOSSOW ◽  
PETER SCHUPP ◽  
STEFAN KETTEMANN
Keyword(s):  
Critical Exponent ◽  
Quantum Hall Effect ◽  
Critical Exponents ◽  
Spin Chain ◽  
Quantum Hall ◽  
Spin Chains ◽  
Special Focus ◽  
Heisenberg Spin ◽  
First Order ◽  
Antiferromagnetic Spin

The Heisenberg spin 1/2 chain is revisited in the perturbative RG approach with special focus on the transition of the critical exponents. We give a compact review that first order RG in the couplings is sufficient to derive the exact transition from ν = 1 to ν = 2/3, if the boson radius obtained in the bosonization procedure is replaced by the exact radius obtained in the Bethe approach. We explain the fact, that from the bosonization procedure alone, the critical exponent can not be derived correctly in the isotropic limit Jz → J. We further state that this fact is important if we consider to bosonize the antiferromagnetic super spin chain for the quantum Hall effect.

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