# Majorana modes and p-wave superfluids for fermionic atoms in optical lattices

@article{Bhler2014MajoranaMA, title={Majorana modes and p-wave superfluids for fermionic atoms in optical lattices}, author={Adam B{\"u}hler and Nicolai Lang and Christina V. Kraus and Gunnar M{\"o}ller and Sebastian D. Huber and Hans Peter B{\"u}chler}, journal={Nature Communications}, year={2014}, volume={5} }

The quest for realization of non-Abelian phases of matter, driven by their possible use in fault-tolerant topological quantum computing, has been spearheaded by recent developments in p-wave superconductors. The chiral px+ipy-wave superconductor in two-dimensions exhibiting Majorana modes provides the simplest phase supporting non-Abelian quasiparticles and can be seen as the blueprint of fractional topological order. Alternatively, Kitaev’s Majorana wire has emerged as an ideal toy model to…

## 45 Citations

### Chiral superfluidity with p-wave symmetry from an interacting s-wave atomic Fermi gas

- PhysicsNature Communications
- 2014

It is reported that a p-wave chiral superfluid state can arise from spin-singlet pairing for an s-wave interacting atomic Fermi gas in an optical lattice and leads to spontaneous generation of angular momentum, finite Chern numbers and topologically protected chiral fermionic zero modes bounded to domain walls, all occuring at a higher critical temperature in relative scales.

### P-wave superfluidity of atomic lattice fermions

- Physics
- 2017

We discuss the emergence of p-wave superfluidity of identical atomic fermions in a two-dimensional optical lattice. The optical lattice potential manifests itself in an interplay between an increase…

### Chiral and counter-propagating Majorana fermions in a p-wave superconductor

- PhysicsNew Journal of Physics
- 2019

Chiral and helical Majorana fermions are two archetypal edge excitations in two-dimensional topological superconductors. They emerge from systems of different Altland–Zirnbauer symmetries and…

### From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems

- Physics
- 2018

In this work, we consider a 3D cubic optical lattice composed of coupled 1D wires with 1D spin-orbit coupling. When the s-wave pairing is induced through Feshbach resonance, the system becomes a…

### Majorana modes and topological superfluids for ultracold fermionic atoms in anisotropic square optical lattices

- Physics
- 2016

Abstract
Motivated by the recent experimental realization of two-dimensional spin-orbit coupling
through optical Raman lattice scheme, we study attractive interacting ultracold gases with
spin-orbit…

### Superfluidity of identical fermions in an optical lattice: atoms and polar molecules

- Physics
- 2017

In this work, we discuss the emergence of $p$-wave superfluids of identical fermions in 2D lattices. The optical lattice potential manifests itself in an interplay between an increase in the density…

### Effects of dynamical noises on Majorana bound states

- Physics
- 2020

The nonlocal nature of unpaired Majorana bound states (MBSs) in topological superconductors can be exploited to create topologically protected qubits and perform gate operations fault-tolerantly via…

### Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes

- PhysicsPhysical Review B
- 2020

Majorana edge modes are candidate elements of topological quantum computing. In this paper, we propose a Floquet engineering approach to generate multiple non-Hermitian Majorana zero and…

### Majorana corner modes in an s-wave second order topological superfluid

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2019

This paper proposes that the Majorana corner modes can emerge in a second order superfluid with a topological insulator and an in-plane Zeeman field pairing, instead of complex pairings such as d-wave and s-wave pairings in most of previous proposals.

### Non-Hermitian higher-order topological superconductors in two dimensions: Statics and dynamics

- PhysicsPhysical Review B
- 2022

Being motivated by intriguing phenomena such as the breakdown of conventional bulk boundary correspondence and emergence of skin modes in the context of non-Hermitian (NH) topological insulators, we…

## References

SHOWING 1-10 OF 64 REFERENCES

### Chiral superfluidity with p-wave symmetry from an interacting s-wave atomic Fermi gas

- PhysicsNature Communications
- 2014

It is reported that a p-wave chiral superfluid state can arise from spin-singlet pairing for an s-wave interacting atomic Fermi gas in an optical lattice and leads to spontaneous generation of angular momentum, finite Chern numbers and topologically protected chiral fermionic zero modes bounded to domain walls, all occuring at a higher critical temperature in relative scales.

### Creating p-wave superfluids and topological excitations in optical lattices

- Physics
- 2010

We propose to realize a p-wave superfluid using bosons mixed with a single species of fermions in a deep optical lattice. We analyze with a self-consistent method its excitation spectrum in presence…

### Engineering p-wave interactions in ultracold atoms using nanoplasmonic traps

- PhysicsNature Communications
- 2013

This work proposes a method to generate strong p-wave interactions between fermions by combining recent developments in nanoplasmonics with progress in realizing laser-induced gauge fields, and illustrates how this scheme can be used for the stabilization of strongly correlated fractional quantum Hall states in ultracold fermionic gases.

### px+ipy superfluid from s-wave interactions of fermionic cold atoms.

- PhysicsPhysical review letters
- 2008

This work proposes a method to create a p(x)+ip(y) superfluid directly from an s-wave interaction making use of a topological Berry phase, which can be artificially generated.

### Stabilization of the p-wave superfluid state in an optical lattice.

- PhysicsPhysical review letters
- 2009

It is shown that it is possible to have a stable p-wave superfluid state where the multiatom collisional loss is suppressed through the quantum Zeno effect, and the effective Hamiltonian is derived.

### Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions

- PhysicsNature Physics
- 2012

Majorana fermions are the only fermionic particles that are expected to be their own antiparticles. Although elementary particles of the Majorana type have not been identified yet, quasi-particles…

### Majorana modes in driven-dissipative atomic superfluids with a zero Chern number.

- PhysicsPhysical review letters
- 2012

It is shown that the existence of a single Majorana zero mode in the vortex core is intimately tied to the dissipative nature of the model, which opens up possibilities for experimentally realizing p-wave paired states of fermions in two dimensions with no Hamiltonian counterpart.

### Majorana fermions in a tunable semiconductor device

- Physics
- 2010

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et…

### Probing non-abelian statistics of Majorana fermions in ultracold atomic superfluid.

- PhysicsPhysical review letters
- 2011

It is shown that different orders of braiding operations give orthogonal output states that can be distinguished through Raman spectroscopy, and strong spin-orbital coupling and a controllable Zeeman field in the perpendicular direction.