# Phase diagrams of Majorana-Hubbard ladders

@article{Rahmani2019PhaseDO, title={Phase diagrams of Majorana-Hubbard ladders}, author={Armin Rahmani and Dmitry I. Pikulin and Ian Affleck}, journal={Physical Review B}, year={2019} }

Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong interaction regime by adjusting the chemical potential. Extending the results on one- and two-dimensional Majorana-Hubbard models, here we study two- and four-leg ladders using both field theory and the {density-matrix renormalization group (DMRG)} methods, finding a phase diagram largely consistent with that proposed for the two…

## 10 Citations

### Interacting Majorana modes at surfaces of noncentrosymmetric superconductors

- PhysicsPhysical Review B
- 2020

Noncentrosymmetric superconductors with line nodes are expected to possess topologically protected flat zero-energy bands of surface states, which can be described as Majorana modes. We here…

### Interacting topological bound states and Majorana fermions in strained nodal superconductors

- PhysicsPhysical Review B
- 2019

Landau levels (LL) have been predicted to emerge in systems with Dirac nodal points under applied non-uniform strain. We consider 2D, $d_{xy}$ singlet (2D-S) and 3D $p \pm i p$ equal-spin triplet…

### Interacting Majorana fermion model with spontaneous symmetry breaking and topological order: exact ground state with intertwined spin and pairing orders

- Physics
- 2022

The exact ground state of the interacting Majorana fermion model on square lattice is obtained. The ground state exhibits the coexistence of spontaneous symmetry breaking and topological order. The Z…

### Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas

- PhysicsPhysical Review B
- 2019

Author(s): Mishmash, RV; Yazdani, A; Zaletel, MP | Abstract: © 2019 American Physical Society. Motivated by recent experiments demonstrating intricate quantum Hall physics on the surface of elemental…

### Disorder and interaction in chiral chains: Majoranas versus complex fermions

- PhysicsPhysical Review B
- 2019

We study the low-energy physics of a chain of Majorana fermions in the presence of interaction and disorder, emphasizing the difference between Majoranas and conventional (complex) fermions. While in…

### Interacting Majorana fermions

- PhysicsReports on progress in physics. Physical Society
- 2019

Recent progress on the proposed experimental setups, analytical and numerical results on low-dimensional lattice mod- els, and the exactly solvable Sachdev-Ye-Kitaev model suggest that strongly correlated phases of matter with Majorana building blocks can exhibit many novel phenoms, such as emergent spacetime supersymmetry, topological order and the physics of black-holes, in condensed matter systems.

### Topological nematic phase transition in Kitaev magnets under applied magnetic fields

- Physics
- 2021

We propose a scenario of realizing the toric code phase, which can be potentially utilized for faulttolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that…

### Double Braiding Majoranas for Quantum Computing and Hamiltonian Engineering

- PhysicsPRX Quantum
- 2020

Majoranas can be distilled by periodic double braiding; the latter can be implemented without recourse to measurements or moving majoranas, and leads to a computationally robust subspace.

## References

SHOWING 1-10 OF 59 REFERENCES

### Majorana-Hubbard model on the honeycomb lattice

- PhysicsPhysical Review B
- 2018

Phase diagram of a Hubbard model for Majorana fermions on the honeycomb lattice is explored using a combination of field theory, renormalization group and mean-field arguments, as well as exact…

### Majorana-Hubbard model on the square lattice

- Physics
- 2017

We study a tight-binding model of interacting Majorana (Hermitian) modes on a square lattice. The model may have an experimental realization in a superconducting-film--topological-insulator…

### 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…

### Interplay of disorder and interaction in Majorana quantum wires.

- PhysicsPhysical review letters
- 2012

A large regime of stability of the Majorana-carrying topological phase in the parameter space of the model is identified and a quantum phase transition from a topological superconducting phase to a nontopological localized phase is predicted.

### Majorana stripe order on the surface of a three-dimensional topological insulator

- PhysicsPhysical Review B
- 2018

The effect of interactions in topological states is a topical issue that includes not only interacting topological phases but also novel symmetry-breaking phases and phase transitions. Here we study…

### Majorana edge states in interacting one-dimensional systems.

- PhysicsPhysical review letters
- 2011

We show that one-dimensional electron systems in the proximity of a superconductor that support Majorana edge states are extremely susceptible to electron-electron interactions. Strong interactions…

### 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.

### Strongly interacting Majorana fermions

- Physics
- 2015

Interesting phases of quantum matter often arise when the constituent particles---electrons in solids---interact strongly. Such strongly interacting systems are, however, quite rare and occur only in…

### Lattice Supersymmetry and Order-Disorder Coexistence in the Tricritical Ising Model.

- PhysicsPhysical review letters
- 2018

A quantum spin or Majorana chain with a tricritical Ising point separating a critical phase from a gapped phase with order-disorder coexistence is introduced and supersymmetry is shown to be not only an emergent property of the scaling limit but also manifests itself on the lattice.

### Electronic structure of topological superconductors in the presence of a vortex lattice

- Physics
- 2015

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic…