# Time-crystalline Topological Superconductors

## TL;DR

This paper introduces a new class of one-dimensional time-crystalline topological superconductors where time-translation symmetry breaking intertwines with topological properties, leading to unique Floquet Majorana modes and observable experimental signatures.

## Contribution

It presents the theoretical framework for time-crystalline topological superconductors with anomalous Floquet Majorana modes, a novel phase combining time-translation symmetry breaking and topological order.

## Key findings

- Bulk magnetization recovers after two drive periods
- Majorana end modes recover after four drive periods
- Proposed experimental detection schemes

## Abstract

Time crystals form when arbitrary physical states of a periodically driven system spontaneously break discrete time-translation symmetry. We introduce one-dimensional time-crystalline topological superconductors, for which time-translation symmetry breaking and topological physics intertwine---yielding anomalous Floquet Majorana modes that are not possible in free-fermion systems. Such a phase exhibits a bulk magnetization that returns to its original form after two drive periods, together with Majorana end modes that recover their initial form only after four drive periods. We propose experimental implementations and detection schemes for this new state.