Non-Local Spin Blocking Effect of Zero-Energy Majorana Fermions

Binding energy, ET, wave function, form factor, and asymptotic normalization constant, CT, have been calculated for the model triton using two classes of phase equivalent potentials: partly non-local (PNL) potentials, and rank-two separable potentials. The results are compared with those of Fiedeldey. The binding energy is sensitive to the deuteron wave function and zero-energy wound integral. The triton form factors depend on ET and the deuteron wave function. CT is almost insensitive to variations in the PNL potentials, but increases with ET for the separable potentials.

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The simulation of non-Abelian statistics of Majorana fermions in Ising chain with Z2 symmetry

Modern Physics Letters B ◽

10.1142/s0217984917501238 ◽

2017 ◽

Vol 31 (11) ◽

pp. 1750123

Author(s):

Xiao-Ming Zhao ◽

Jing Yu ◽

Jing He ◽

Qiu-Bo Cheng ◽

Ying Liang ◽

...

Keyword(s):

Transverse Field ◽

Spin Model ◽

Majorana Fermions ◽

Spin Representation ◽

Ising Chain ◽

Zero Energy ◽

Topological Quantum ◽

Transverse Field Ising Model ◽

Topological Quantum Computation ◽

Symmetry Protected

In this paper, we numerically study the non-Abelian statistics of the zero-energy Majorana fermions at the end of Majorana chain and show its application to quantum computing by mapping it to a spin model with special symmetry. In particular, by using transverse-field Ising model with Z2 symmetry, we verify the nontrivial non-Abelian statistics of Majorana fermions. Numerical evidence and comparison in both Majorana representation and spin representation are presented. The degenerate ground states of a symmetry protected spin chain therefore provide a promising platform for topological quantum computation.

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Effects of non-local spin fluctuations in the orbital-selective Mott transition

The European Physical Journal B ◽

10.1140/epjb/e2012-30198-7 ◽

2012 ◽

Vol 85 (10) ◽

Author(s):

B. D. Napitu ◽

J. Berakdar

Keyword(s):

Mott Transition ◽

Spin Fluctuations ◽

Local Spin ◽

Non Local

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Spin transport in non-magnetic nano-structures induced by non-local spin injection

Physica E Low-dimensional Systems and Nanostructures ◽

10.1016/j.physe.2014.11.023 ◽

2015 ◽

Vol 68 ◽

pp. 239-263 ◽

Cited By ~ 19

Author(s):

Hiroshi Idzuchi ◽

Yasuhiro Fukuma ◽

YoshiChika Otani

Keyword(s):

Spin Transport ◽

Spin Injection ◽

Local Spin ◽

Nano Structures ◽

Non Local

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Non-empty quantum dot as a spin-entangler

Quantum Information and Computation ◽

10.26421/qic3.4-2 ◽

2003 ◽

Vol 3 (4) ◽

pp. 307-316

Author(s):

C.-L. Chou

Keyword(s):

Quantum Dot ◽

Single Electron ◽

Model Parameters ◽

Single Level ◽

Local Spin ◽

Singlet States ◽

Spin Singlet ◽

Non Local ◽

Spin Triplet

We consider a three-port single-level quantum dot system with one input and two output leads. Instead of considering an empty dot, we study the situations that two input electrons co-tunnel through the quantum dot occupied by one or two dot electrons. We show that electron entanglement can be generated via the co-tunneling processes when the dot is occupied by two electrons, yielding non-local spin-singlet states at the output leads. When the dot is occupied by a single electron, we show that by carefully selecting model parameters non-local spin-triplet electrons can also be obtained at the output leads if the final dot electron has the same spin as that of the initial dot electron.

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