Codes for 'A proposal to extract and enhance four-Majorana interactions in hybrid nanowires'

  title={Codes for 'A proposal to extract and enhance four-Majorana interactions in hybrid nanowires'},
  author={Tasnum Reza and Sergey M. Frolov and David Pekker},
We simulate the smallest building block of the Sachdev-Ye-Kitaev (SYK) model, a system of four interacting Majorana modes. We propose a 1D Kitaev chain that has been split into three segments, i.e., two topological segments separated by a non-topological segment in the middle, hosting four Majorana Zero Modes at the ends of the topological segments. We add a non-local interaction term to this Hamiltonian which produces both bilinear (two-body) interactions and a quartic (four-body) interaction… 
1 Citations

Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model

We solve numerically the large N Dyson-Schwinger equations for the Sachdev-Ye-Kitaev (SYK) model utilizing the Legendre polynomial decomposition and reaching 10 − 36 accuracy. Using this we compute



Sachdev-Ye-Kitaev Circuits for Braiding and Charging Majorana Zero Modes.

The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet

Family of Sachdev-Ye-Kitaev models motivated by experimental considerations

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior

Influence of long-range interaction on Majorana zero modes

Majorana bound states, with their non-Abelian properties, are candidates for the realization of fault-tolerant quantum computation. Here we study the influence of long-range many-body interactions on

Coulomb interaction effects on the Majorana states in quantum wires

The stability of the Majorana modes in the presence of a repulsive interaction is studied in the standard semiconductor wire-metallic superconductor configuration and the minimum Zeeman energy needed to realize Majorana fermions decreases with the increasing strength of the Coulomb repulsion.

Approximating the Sachdev-Ye-Kitaev model with Majorana wires

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state

Solvable model for quantum criticality between the Sachdev-Ye-Kitaev liquid and a disordered Fermi liquid

We propose a simple solvable variant of the Sachdev-Ye-Kitaev (SYK) model which displays a quantum phase transition from a fast-scrambling non-Fermi liquid to disordered Fermi liquid. Like the

Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models.

This work exemplifies an analytically controlled study of a strongly correlated metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales.

Traversable wormhole in coupled Sachdev-Ye-Kitaev models with imbalanced interactions

A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual of a traversable wormhole, with a ground state close to the so called thermofield double state. We use

Optical lattice platform for the Sachdev-Ye-Kitaev model

The tractability of the Sachdev-Ye-Kitaev (SYK) model at the large $N$ limit makes it ideal to theoretically study its chaotic non-Fermi liquid behavior and holographic duality properties. We show

Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength $J$) between $N$ fermions (complex Dirac fermions or real Majorana