# Classical impurities and boundary Majorana zero modes in quantum chains

@article{Muller2016ClassicalIA, title={Classical impurities and boundary Majorana zero modes in quantum chains}, author={Markus Michael Muller and Alexander A. Nersesyan}, journal={arXiv: Strongly Correlated Electrons}, year={2016} }

## 7 Citations

### Impurity-driven transitions in quantum Ising ring

- Physics
- 2020

We study the quantum phase transitions driven by a point impurity in a chain seamed with ring frustration. Rich phases and quantum phase transitions are uncovered and characterized by both the bulk…

### Impurity-driven transitions in frustrated quantum Ising rings.

- PhysicsPhysical review. E
- 2021

The quantum phase transition driven by a point impurity in a chain seamed with ring frustration, which induces antiferromagnetic order in the bulk and entangled spin configuration near the impurity, is studied.

### Universal scaling for the quantum Ising chain with a classical impurity

- Physics
- 2017

We study finite size scaling for the magnetic observables of an impurity residing at the endpoint of an open quantum Ising chain in a transverse magnetic field, realized by locally rescaling the…

### Long coherence times for edge spins

- Physics
- 2017

We show that in certain one-dimensional spin chains with open boundary conditions, the edge spins retain memory of their initial state for very long times, even at infinite temperature. The long…

### Lindblad dissipative dynamics in the presence of phase coexistence

- PhysicsPhysical Review B
- 2019

We investigate the dissipative dynamics yielded by the Lindblad equation within the coexistence region around a first order phase transition. In particular, we consider an exactly-solvable…

## References

SHOWING 1-10 OF 44 REFERENCES

### Exact ground states and topological order in interacting Kitaev/Majorana chains

- Physics
- 2015

We study a system of interacting spinless fermions in one dimension that, in the absence of interactions, reduces to the Kitaev chain [Kitaev, Phys. Usp. 44, 131 (2001)]. In the noninteracting case,…

### Phase diagram of the interacting Majorana chain model

- Physics
- 2015

The Hubbard and spinless fermion chains are paradigms of strongly correlated systems, very well understood using the Bethe ansatz, density matrix renormalization group (DMRG), and field…

### Unpaired Majorana fermions in quantum wires

- Physics
- 2000

Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length L possesses…

### Mapping of the two-channel Kondo problem to a resonant-level model.

- PhysicsPhysical review. B, Condensed matter
- 1992

It is shown that the pairing resonance of the two-channel Kondo problem may be characterized as an enhancement of superconducting pairing of the conduction electrons at the impurities site, correlated with the impurity pseudospin.

### Statistical translation invariance protects a topological insulator from interactions.

- Physics
- 2015

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting…

### Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.

- PhysicsPhysical review letters
- 2010

The measurement of the supercurrent through the junction allows one to discern topologically distinct phases and observe a topological phase transition by simply changing the in-plane magnetic field or the gate voltage, which will be a direct demonstration of the existence of Majorana particles.

### Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor

- PhysicsScience
- 2014

High-resolution spectroscopic imaging techniques show that the onset of superconductivity, which gaps the electronic density of states in the bulk of the Fe chains, is accompanied by the appearance of zero-energy end-states, providing strong evidence for the formation of a topological phase and edge-bound Majorana fermions in atomic chains.

### Magnetization and dimerization profiles of the cut two-leg spin ladder

- Physics
- 2002

The physical properties of the edge states of the cut two-leg spin ladder are investigated by means of the bosonization approach. By carefully treating boundary conditions, we derive the existence of…

### Helical liquids and Majorana bound states in quantum wires.

- PhysicsPhysical review letters
- 2010

It is argued that zero-energy Majorana bound states are formed in various situations when such wires are situated in proximity to a conventional s-wave superconductor when the external magnetic field, the superconducting gap, or the chemical potential vary along the wire.

### Probing Majorana modes in the tunneling spectra of a resonant level

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2013

A numerical approach to treat finite-size superconducting chains supporting Majorana modes based on iterative application of a two-site Bogoliubov transformation is developed, which demonstrates the applicability of the method by studying a resonant level attached to the superconductor subject to external perturbations.