# Realization of fractonic quantum phases in the breathing pyrochlore lattice

@article{Han2021RealizationOF, title={Realization of fractonic quantum phases in the breathing pyrochlore lattice}, author={SangEun Han and Adarsh S Patri and Yong Baek Kim}, journal={Physical Review B}, year={2021} }

Fractonic phases of matter are novel quantum ground states supporting sub-dimensional emergent excitations with mobility restrictions. Due to a sub-extensive ground state degeneracy that is dependent on the geometry of the underlying lattice, fractonic phases are considered as models for quantum memory or quantum glass. While there exist a number of exactly solvable models with interactions between multiple particles/spins, the realization of such models in real materials is extremely…

## 3 Citations

### Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice

- PhysicsPhysical Review B
- 2022

We use the projective symmetry group analysis to classify the quantum spin liquids on the 𝑆 = 1 / 2 pyrochlore magnet with a breathing anisotropy. We ﬁnd 40 Z 2 spin liquids and 16 𝑈 ( 1 ) spin…

### Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids

- Physics
- 2021

Emergent 𝑈 ( 1 ) gauge theories and artiﬁcial photons in frustrated magnets are outstanding examples of many- body collective phenomena. The classical and quantum regimes of these systems provide…

### Beyond Single Tetrahedron Physics of Breathing Pyrochlore Compound Ba3Yb2Zn5O11

- Physics
- 2022

Recently a new class of quantum magnets, the so-called breathing pyrochlore spin systems, have attracted much attention due to their potential to host exotic emergent phenomena. Here, we present…

## References

SHOWING 1-10 OF 52 REFERENCES

### Fractons

- PhysicsAnnual Review of Condensed Matter Physics
- 2019

Fracton phases constitute a new class of quantum state of matter. They are characterized by excitations that exhibit restricted mobility, being either immobile under local Hamiltonian dynamics or…

### Isotropic Layer Construction and Phase Diagram for Fracton Topological Phases

- Mathematics
- 2017

Starting from an isotropic configuration of intersecting, two-dimensional toric codes, we construct a fracton topological phase introduced in Ref. [26], which is characterized by immobile, point-…

### Topological quantum glassiness

- Physics
- 2012

Quantum tunneling often allows pathways to relaxation past energy barriers which are otherwise hard to overcome classically at low temperatures. However, this is not always the case. In this paper we…

### Non-Liquid Cellular States

- Physics
- 2020

The existence of quantum non-liquid states and fracton orders, both gapped and gapless states, challenges our understanding of phases of entangled matter. We generalize Wen's cellular topological…

### A spin-liquid with pinch-line singularities on the pyrochlore lattice

- PhysicsNature communications
- 2016

The discovery of a spin-liquid where the low-temperature physics is naturally described by the fluctuations of a tensor field with a continuous gauge freedom is reported, giving rise to pinch-line singularities: line-like analogues of the pinch points observed in spin-ice.

### Energetic selection of ordered states in a model of the Er2Ti2O7 frustrated pyrochlore XY antiferromagnet

- Physics
- 2009

We consider the possibility that the discrete long-range ordered states of Er2Ti2O7 are selected energetically at the mean field level as an alternative scenario that suggests selection via thermal…

### Commuting Pauli Hamiltonians as Maps between Free Modules

- Mathematics
- 2013

We study unfrustrated spin Hamiltonians that consist of commuting tensor products of Pauli matrices. Assuming translation-invariance, a family of Hamiltonians that belong to the same phase of matter…

### Phys

- Rev. Lett. 124, 127203
- 2020