Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation

@article{Li2021RenormalizationGA,
  title={Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation},
  author={Hongchao Li and Peng Ye},
  journal={Physical Review Research},
  year={2021}
}
Higher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show how these phenomena emerge at low energies. We consider a d-dimensional model of interacting bosons of d components. At higher-rank-symmetric points with conserved angular moments, the a-th bosons have kinetic energy only along the x̂ direction. Therefore, the… 

Figures from this paper

Fractons, geometrically

We initiate a systematic study of fracton physics within the geometric framework of Double Field Theory. We ascribe the immobility and large degeneracy of the former to the non-Riemannian backgrounds

Quantum Hydrodynamics of Fractonic Superfluids with Lineon Condensate: From Navier–Stokes-Like Equations to Landau-Like Criterion

Fractonic superfluids are exotic states of matter with spontaneously broken higher-rank U(1) symmetry. The broken symmetry is associated with conserved quantities, including not only particle number

Fractons, non-Riemannian geometry, and double field theory

We initiate a systematic study of fracton physics within the geometric framework of Double Field Theory. We ascribe the immobility and large degeneracy of the former to the non-Riemannian backgrounds

Interacting fractons in 2+1-dimensional quantum field theory

Abstract We analyze, in perturbation theory, a theory of weakly interacting fractons and non-relativistic fermions in a 2+1 dimensional Quantum Field Theory. In particular we compute the 1-loop

Topological fracton quantum phase transitions by tuning exact tensor network states

Gapped fracton phases of matter generalize the concept of topological order and broaden our fundamental understanding of entanglement in quantum many-body systems. However, their analytical or

Evolution of dynamical signature in the X-cube fracton topological order

Chengkang Zhou,1, ∗ Meng-Yuan Li,2, ∗ Zheng Yan,1, 3, † Peng Ye,2, ‡ and Zi Yang Meng1 1Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of

References

SHOWING 1-10 OF 77 REFERENCES

Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we

Chiral Topological Elasticity and Fracton Order.

  • A. Gromov
  • Mathematics
    Physical review letters
  • 2019
It is emphasized that the very structure of Riemann-Cartan geometry, which is used to formulate the theory, encodes some of the fracton phenomenology, suggesting that the Fracton order itself is geometric in nature.

Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory

Fractons are gapped pointlike excitations in d=3 topological ordered phases whose motion is constrained. They have been discovered in several gapped models but a unifying physical mechanism for

Renormalization Group Approach to Interacting Fermions

The stability or lack thereof of nonrelativistic fermionic systems to interactions is studied within the Renormalization Group (RG) framework, in close analogy with the study of critical phenomena

Fractonic Chern-Simons and BF theories

This paper investigates possible effective field theories for 3D fracton order, by presenting a general philosophy whereby topological-like actions for such higher-rank gauge fields can be constructed.

On renormalization group flows in four dimensions

A bstractWe discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken conformal symmetry. We analyze in

The fracton gauge principle

A powerful mechanism for constructing gauge theories is to start from a theory with a global symmetry, then apply the "gauge principle," which demands that this symmetry hold locally. For example,

Towards Classification of Fracton Phases: The Multipole Algebra

We present an effective field theory approach to the Fracton phases. The approach is based the notion of a multipole algebra. It is an extension of space(-time) symmetries of a charge-conserving

Gauging permutation symmetries as a route to non-Abelian fractons

We discuss the procedure for gauging on-site Z_2Z2 global symmetries of three-dimensional lattice Hamiltonians that permute quasi-particles and provide general arguments demonstrating the non-Abelian
...