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YMSC-BIMSA Quantum Information Seminar
Towards a Complete Classification of Interacting Fermionic Symmetry-Protected Topological Phases
Towards a Complete Classification of Interacting Fermionic Symmetry-Protected Topological Phases
Organizer
Speaker
Xingyu Ren
Time
Friday, May 10, 2024 4:00 PM - 5:30 PM
Venue
Shuangqing-A626
Online
Tencent 953 7541 0477
(2024)
Abstract
The topological quantum matters are classified by the interplay between symmetries and entanglement patterns. One of the three main categories of topological quantum matters is called symmetry-protected topological (SPT) phases, which are short-range entangled but protected by symmetries. SPT phases have seen a complete classification for bosonic systems a decade ago, whereas their fermionic counterpart (FSPT) remains an open challenge. Given a symmetry group, the classification result of SPT phases is a (stacking) group: every group element in this group is a distinct SPT phase, and the group multiplication corresponds to stacking two SPT phases to obtain a new SPT phase. In this talk, we will introduce a fruitful systematic construction of interacting FSPT called fluctuating domain wall decorations and show how to reach the complete classification of FSPT up to 4+1 dimensions based on this construction.