Translation symmetry in fractionalized phases

Event Dates: 

Friday, November 16, 2018 - 11:00am

CTQM Seminar Type: 

  • CTQM Seminar

Seminar Location: 

  • Duane Physics Room G126

Speaker Name(s): 

Meng Cheng

Speaker Affiliation(s): 

Yale University

Abstract, Event Details: 

Lattice translation is a fundamental symmetry in many condensed matter systems. In this talk I will examine the interplay of translation symmetry with fractionalized excitations that can emerge in topological phases. In the first part of the talk, I will discuss recent advances in Lieb-Schultz-Mattis (LSM) type theorems, which put microscopic constraints on the low-energy dynamics of translation-invariant lattice systems. I will discuss the interpretation of such constraints as manifestation of quantum anomalies and introduce new types of constraints in fermionic systems. In the second part, I will discuss the relation between mobility of quasiparticles and their transformation under translation symmetry. With this point of view I will provide a systematic classification of fractonic excitations in three-dimensional U(1) spin liquids, possibly enforced by global symmetries, and their realizations in a gauged coupled layer construction.

 

Research Category: