We present the electron tunneling transport and spectroscopic characters of a superconducting (SC) Josephson junction with barrier single anisotropic Kitaev quantum spin liquid (QSL) layer. find that dynamical spin-correlation features are well reflected in direct-current differential conductance $d{I}^{c}/dV$ single-particle tunneling, including unique gap dressed itinerant Majorana dispersive...

Exact results for the dynamic dimer and trimer structure factors of the one-dimensional s = 1 2 XX model in a transverse magnetic field (‖ z) are presented and discussed in relation to known exact results for the dynamic spin structure factors. In the framework of the Jordan-Wigner representation, the accessible spectrum of the dimer fluctuation operator is limited to two-fermion excitations wh...

We generalize the results of [7] for the coherent states of a spin-1 entity to spin-S entities with S > 1 and to non-coherent spin states: through the introduction of ’hidden correlations’ (see [8]) we introduce a representation for a spin-S entity as a compound system consisting of 2S ’individual’ spin-1/2 entities, each of them represented by a ’proper state’, and such that we are able to con...

Using both the fermionic-like and the bosonic-like properties of the Pauli spin operators we discuss the Bose description of the Pauli spin operators firstly proposed by Shigefumi Naka, and derive another new bosonic representation of Pauli operators. The eigenvector of σ− in the bosonic representation is a nonlinear coherent state with the eigenvalues being the Grassmann numbers.

Citation Chamon, C. et al. " Quantizing Majorana fermions in a superconductor. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. A Dirac-type matrix equation governs...

In this paper we study unitary braid group representations associated with Majorana Fermions. Majorana Fermions are represented by Majorana operators, elements of a Clifford algebra. The paper recalls and proves a general result about braid group representations associated with Clifford algebras, and compares this result with the Ivanov braiding associated with Majorana operators. The paper gen...

A full account is given of the procedure used by the authors to construct an SO(10) supersymmetric grand unified model of the fermion mass matrices. Various features of the model which gives remarkably accurate results for the quark and lepton masses and mixings were presented earlier in separate publications. The construction of the matrices is first discussed in the framework of effective ope...

We describe in detail a counterexample to the topological classification of free fermion systems. We deal with a one-dimensional chain of Majorana fermions with an unusual T symmetry. The topological invariant for the free fermion classification lies in Z, but with the introduction of interactions the Z is broken to Z8. We illustrate this in the microscopic model of the Majorana chain by constr...