# Fractional spin excitations and conductance in the spiral-staircase Heisenberg ladder

@article{Ronetti2021FractionalSE, title={Fractional spin excitations and conductance in the spiral-staircase Heisenberg ladder}, author={Flavio Ronetti and Daniel Loss and Jelena Klinovaja}, journal={Physical Review B}, year={2021} }

We investigate theoretically the spiral staircase Heisenberg spin-1 / 2 ladder in the presence of antiferromagnetic long-range spin interactions and a uniform magnetic ﬁeld. As a special case we also consider the Kondo necklace model. If the magnetizations of the two chains forming the ladder satisfy a certain resonance condition, involving interchain couplings as perturbations, the system is in a partially gapped magnetic phase hosting excitations characterized by fractional spins, whose…

## References

SHOWING 1-10 OF 51 REFERENCES

### Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

- Physics
- 2013

One of the simplest quantum many-body systems is the spin-1/2 Heisenberg antiferromagnetic chain, a linear array of interacting magnetic moments. Its exact ground state is a macroscopic singlet…

### Spin currents and magnon dynamics in insulating magnets

- Physics
- 2016

Nambu–Goldstone theorem provides gapless modes to both relativistic and nonrelativistic systems. The Nambu–Goldstone bosons in insulating magnets are called magnons or spin-waves and play a key role…

### Topological Shiba bands in artificial spin chains on superconductors

- PhysicsNature Physics
- 2021

A major challenge in developing topological superconductors for implementing topological quantum computing is their characterization and control. It has been proposed that a p-wave-gapped topological…

### Tuning interactions between spins in a superconductor

- PhysicsProceedings of the National Academy of Sciences
- 2021

Control of hybridization of the YSR states in this platform provides the possibility of engineering the band structure of such states for creating topological phases and reveals a quantum phase transition between the ground states with different electron number parity for a pair of spins in a superconductor tuned by their separation.

### Correlation of Yu–Shiba–Rusinov States and Kondo Resonances in Artificial Spin Arrays on an s-Wave Superconductor

- PhysicsNano letters
- 2021

Mutually interacting magnetic atoms coupled to a superconductor have gained enormous interest due to their potential for the realization of topological superconductivity. Individual magnetic…

### Controlling in-gap end states by linking nonmagnetic atoms and artificially-constructed spin chains on superconductors

- PhysicsNature communications
- 2020

A protocol is explored to disentangle topologically non-trivial Majorana bound states by artificially augmenting a candidate Majorana spin chain with orbitally-compatible nonmagnetic atoms, and the realization of designer Majorana chain networks for demonstrating topological quantum computation.

### Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor

- PhysicsNature Communications
- 2018

Magnetic atomic chains assembled on the surface of superconductors are a potential platform for engineering topological superconducting phases by manipulating magnetic atoms at interstitial sites to tune interatomic interactions and control the Yu-Shiba-Rusinov states that form.

### Tomonaga-Luttinger parameters for doped Mott insulators

- Physics
- 2005

The Tomonaga-Luttinger parameter Kρ determines the critical behavior in quasi–one-dimensional correlated electron systems, e.g., the exponent α for the density of states near the Fermi energy. We use…

### Correlating Josephson supercurrents and Shiba states in quantum spins unconventionally coupled to superconductors

- PhysicsNature communications
- 2021

Scanning Josephson spectroscopy is used to directly visualize the effect of magnetic perturbations on Cooper pair tunneling between superconducting electrodes at the atomic scale and reveals the existence of a direct correlation between Josephson supercurrent suppression and YSR states.