Related papers: Boundary supersymmetry of 1+1 d fermionic SPT phases

Boundary supersymmetry of 1+1 d fermionic SPT phases

URL: http://arxiv.org/abs/2011.12320v3
Date: Tue, 15 Jun 2021 02:34:19 GMT
Title: Boundary supersymmetry of 1+1 d fermionic SPT phases
Authors: Abhishodh Prakash, Juven Wang
Abstract summary: We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases are supersymmetric quantum mechanical systems. This supersymmetry does not require any fine-tuning of the underlying Hamiltonian.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or anti-unitary), are supersymmetric quantum mechanical systems. This supersymmetry does not require any fine-tuning of the underlying Hamiltonian, arises entirely as a consequence of the boundary 't Hooft anomaly that classifies the phase and is related to a `Bose-Fermi' degeneracy different in nature from other well known degeneracies such as Kramers doublets.

Related papers

Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
The interplay between symmetry and topological properties plays a very important role in modern physics. How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
arXiv Detail & Related papers (2024-10-24T19:52:27Z)
Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order [17.38734393793605]
We propose a new class of phases, termed the double ASPT phase, which emerges from a nontrivial extension of these two orders. This new phase is absent from prior studies and cannot exist in conventional closed systems.
arXiv Detail & Related papers (2024-10-17T16:36:53Z)
Non-chiral non-Bloch invariants and topological phase diagram in non-unitary quantum dynamics without chiral symmetry [26.179241616332387]
We identify the non-Bloch topological phase diagram of a one-dimensional (1D) non-Hermitian system without chiral symmetry. We find that such topological invariants can distinguish topologically distinct gapped phases. Our work provides a useful platform to study the interplay among topology, symmetries and the non-Hermiticity.
arXiv Detail & Related papers (2024-07-26T03:29:30Z)
Symmetry-restricted quantum circuits are still well-behaved [45.89137831674385]
We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group $SU(2n)$. It extends prior work on symmetric states to the operators and shows that the operator space follows the same structure as the state space.
arXiv Detail & Related papers (2024-02-26T06:23:39Z)
Gauging on the lattice and gapped/gapless topological phases [0.0]
We show that the symmetry that is effectively gauged in low energy still generates a global symmetry that acts on the whole Hilbert space faithfully. This symmetry turns out to protect a non-trivial topological phase with other emergent symmetry, or can have a non-trivial 't Hooft anomaly. As an application, we find various new gapless SPT phases, such as the one carrying the Gu-Wen fermionic anomalies at low energy.
arXiv Detail & Related papers (2024-02-05T22:30:02Z)
Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup [0.6675805308519986]
Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study an emergent $mathbbZ$-gauged system with global $U(1)$. We also discuss the stability of these phases and the critical points to small perturbations and their potential experimental realizations.
arXiv Detail & Related papers (2024-01-22T05:46:49Z)
Mixed state topological order parameters for symmetry protected fermion matter [0.0]
We construct an observable mixed state topological order parameter for symmetry-protected free fermion matter. It provides a robust, quantized signal not only for pure ground states, but also for mixed states in- or out of thermal equilibrium.
arXiv Detail & Related papers (2024-01-19T19:21:25Z)
Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains [0.0]
This work highlights the rich unexplored physics of criticality between nontrivial topological phases. It provides insights into the burgeoning field of gapless topological phases.
arXiv Detail & Related papers (2022-08-25T17:59:26Z)
Towards a complete classification of non-chiral topological phases in 2D fermion systems [29.799668287091883]
We argue that all non-chiral fermionic topological phases in 2+1D are characterized by a set of tensors $(Nij_k,Fij_k,Fijm,alphabeta_kln,chidelta,n_i,d_i)$. Several examples with q-type anyon excitations are discussed, including the Fermionic topological phase from Tambara-gami category for $mathbbZ_2N$.
arXiv Detail & Related papers (2021-12-12T03:00:54Z)
Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
arXiv Detail & Related papers (2021-11-24T15:50:22Z)
Unwinding Fermionic SPT Phases: Supersymmetry Extension [0.0]
We show how 1+1-dimensional fermionic symmetry-protected topological states can be protected by supersymmetry. The extended projective global symmetry on the boundary can become supersymmetric in a specific sense. This also means we can uplift and remove certain exotic fermionic anomalies.
arXiv Detail & Related papers (2020-11-27T18:59:50Z)

This list is automatically generated from the titles and abstracts of the papers in this site.