# Many-body Majorana-like zero modes without gauge symmetry breaking

@article{Vadimov2020ManybodyMZ, title={Many-body Majorana-like zero modes without gauge symmetry breaking}, author={Vasilii Vadimov and Timo Hyart and Jose L. Lado and Mikko M{\"o}tt{\"o}nen and Tapio Ala‐Nissila}, journal={Physical Review Research}, year={2020}, volume={3} }

Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting one-dimensional many-body system is known to spontaneously break gauge symmetries. Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order. In…

## 6 Citations

### SYK behaviors generated by on-site Hubbard-type four-fermion on-site random interactions and the related phase transitions

- Physics
- 2021

In this paper, we discuss the possible emergence of SYK non-Fermi liquid in the incoherent critical metal phase generated by the Hubbard-type four-fermion on-site random interactions which follow the…

### SYK behaviors generated by Hubbard-type four-fermion on-site random interactions and the related phase transitions

- Physics
- 2021

In this paper, we discuss the possible emergence of SYK non-Fermi liquid in the incoherent critical metal phase generated by the Hubbard-type four-fermion on-site random interactions which follow the…

### Effects of the Symmetries and Related Orders to the Thermalization of Many-Body Localized System

- PhysicsSSRN Electronic Journal
- 2022

In this paper, we discuss the effects of the symmetries and related topological orders to the thermalization of many-body localized system. We consider the onedimensional fermion chain system with…

### Prediction and theoretical study for the experimentally detectable Sachdev-Ye-Kitaev physics in multilayered type-II Weyl semimetal WTe$_2$ through optical SHG technique

- Physics
- 2021

We propose a proposal for the easiler experimental realization of Sachdev-YeKitaev model in multilayered type-II Weyl semimetal WTe2 in Td phase, through the optical second harmonic generation (SHG)…

### Electron correlation effects in superconducting nanowires in and out of equilibrium

- Physics
- 2021

One-dimensional nanowires with strong spin–orbit coupling and proximity-induced superconductivity are predicted to exhibit topological superconductivity with condensed-matter analogues to Majorana…

### Neural network enhanced hybrid quantum many-body dynamical distributions

- Computer Science, Physics
- 2021

This results provide a starting point towards neural-network powered algorithms to support a variety of quantum many-body dynamical methods, that could potentially solve computationally expensive many- body systems in a more efficient manner.

## References

SHOWING 1-10 OF 85 REFERENCES

### Edge-mode superconductivity in a two-dimensional topological insulator.

- PhysicsNature nanotechnology
- 2015

These experiments establish InAs/GaSb as a promising platform for the confinement of Majoranas into localized states, enabling future investigations of non-Abelian statistics and gate-tuning between edge-dominated and bulk-dominated regimes of superconducting transport.

### Majorana zero modes in superconductor–semiconductor heterostructures

- PhysicsNature Reviews Materials
- 2018

Realizing topological superconductivity and Majorana zero modes in the laboratory is a major goal in condensed-matter physics. In this Review, we survey the current status of this rapidly developing…

### Number conserving theory for topologically protected degeneracy in one-dimensional fermions

- Physics
- 2011

Semiconducting nanowires in proximity to superconductors are among promising candidates to search for Majorana fermions and topologically protected degeneracies, which may ultimately be used as…

### From one-dimensional charge conserving superconductors to the gapless Haldane phase

- PhysicsPhysical Review B
- 2018

We develop a framework to analyze one-dimensional topological superconductors with charge conservation. In particular, we consider models with $N$ flavors of fermions and $(\mathbb{Z}_2)^N$ symmetry,…

### Topological superconductivity in a phase-controlled Josephson junction

- PhysicsNature
- 2019

This work establishes this system as a promising platform for realizing topological superconductivity and for creating and manipulating Majorana modes and probing topologicalsuperconducting phases in two-dimensional systems.

### Many-body characterization of particle-conserving topological superfluids.

- PhysicsPhysical review letters
- 2014

A number-conserving, interacting variation of the Kitaev model, the Richardson-Gaudin-Kitaev chain, that remains exactly solvable for periodic and antiperiodic boundary conditions.

### Gapless symmetry-protected topological phase of fermions in one dimension

- Physics
- 2015

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the…

### Majorana Zero Modes in Graphene

- Physics
- 2015

A clear demonstration of topological superconductivity (TS) and Majorana zero modes remains one of the major pending goal in the field of topological materials. One common strategy to generate TS is…

### Topological states in a one-dimensional fermi gas with attractive interaction.

- PhysicsPhysical review letters
- 2015

The topological state can be uniquely probed by a pumping effect induced by a slow sweep of the Zeeman field from a high initial value down to zero, and is expected to be robust to introducing a finite temperature as long as it is much smaller than the interaction induced single particle gap in the final state of the sweep.

### Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface

- PhysicsPhysical Review Research
- 2020

Bound states at interfaces between superconductors and other materials are a powerful tool to characterize the nature of the involved systems, and to engineer elusive quantum excitations. In-gap…