Article
Physics, Multidisciplinary
Kai Li, Jiong-Hao Wang, Yan-Bin Yang, Yong Xu
Summary: Recent theoretical studies suggest that structural disorder can induce a topological insulator from a crystalline material, but experimental observation is challenging. With the experimentally realized randomly positioned Rydberg atoms, studying structural disorder induced topological phase transitions becomes feasible. The research reveals symmetry-protected topological amorphous insulators and structural disorder induced topological phase transition at a single-particle level in an experimentally accessible system.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Tian-Shu Deng, Lei Pan, Yu Chen, Hui Zhai
Summary: This study investigates the stability of Kramers degeneracy and nontrivial topological states under time-reversal symmetry against coupling to the environment. The results show that dissipation can lead to splitting of spectral functions for degenerate states and induce backscattering between counterpropagating edge states, causing the absence of accurate quantization of conductance in the case of the quantum spin Hall effect. The findings have implications for interacting topological phases protected by time-reversal symmetry.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Abhishodh Prakash, Juven Wang
Summary: It has been proven that the boundaries of all nontrivial (1 + 1)-dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or antiunitary), are supersymmetric quantum mechanical systems. This supersymmetry arises as a consequence of the boundary 't Hooft anomaly that classifies the phase, and is distinct from other well-known degeneracies such as Kramers doublets.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Helene Spring, Anton Akhmerov, Daniel Varjas
Summary: In amorphous topological materials, protection of topological surface states is improved due to continuous rotation symmetry, resulting in critical scaling of transport and protection of edge from localization in the topological phase.
Article
Materials Science, Multidisciplinary
Shang-Qiang Ning, Chenjie Wang, Qing-Rui Wang, Zheng-Cheng Gu
Summary: In this study, the Abelian Chern-Simons theory was used to analyze fermionic SPT phases protected by arbitrary Abelian total symmetry G(f). Compared to bosonic SPT phases, these fermionic phases exhibit new features such as support for gapless Majorana fermion edge modes and the effect of nontrivial symmetry extensions on bosonic SPT phases. This research also sheds light on the realization of intrinsic fSPT phases in interacting fermionic systems.
Article
Physics, Multidisciplinary
Ruochen Ma, Chong Wang
Summary: In this study, we demonstrate that symmetry-protected topological (SPT) phases can also be applied to average symmetries, where local quenched disorders break the symmetries but restore them upon disorder averaging. We classify and characterize a large class of average SPT phases using a decorated domain wall approach, and show that the boundary states of such phases will almost certainly be long-range entangled. We also develop a theory for generalized average SPT phases based on density matrices and quantum channels, indicating that topological quantum phenomena associated with average symmetries can be as rich as those with exact symmetries.
Article
Materials Science, Multidisciplinary
Chao-Ming Jian, Xiao-Chuan Wu, Yichen Xu, Cenke Xu
Summary: This study explores the physical constructions and boundary properties of various symmetry-protected topological phases involving 1-form symmetries, from one spatial dimension to four spatial dimensions. It also examines anomalies of 3d states of matter and discusses the connection between SPT states with 1-form symmetries and condensed-matter systems in lower dimensions. Additionally, the potential trivial gapped phases of quantum dimer models are explored based on the nature of their corresponding bulk states in higher dimensions.
Article
Physics, Multidisciplinary
Ziteng Wang, Xiangdong Wang, Zhichan Hu, Domenico Bongiovanni, Dario Jukic, Liqin Tang, Daohong Song, Roberto Morandotti, Zhigang Chen, Hrvoje Buljan
Summary: Some topological boundary states are protected by sub-symmetry, even if the full symmetry and topological invariant are destroyed. By introducing a weaker sub-symmetry requirement, researchers find that the nature of boundary state protection is more complex than previously believed. Experimental demonstrations in photonic lattices show the sub-symmetry protection of topological states and the resolution of debates on the higher-order topological nature of corner states in breathing kagome lattices. These findings have implications beyond photonics and can be applied to explore symmetry-protected topological phases in different physical contexts.
Article
Materials Science, Multidisciplinary
Thomas Quella
Summary: The study investigates the phase diagram of the SOq(3) quantum group invariant spin-1 bilinear-biquadratic spin chain for real values of q > 1, revealing three distinct phases. The Haldane phase was found to lack twofold degeneracy in the entanglement spectrum, restored through q deformation. The analytical calculations in the limit q -> infinity confirmed the structure of the phase diagram.
Article
Materials Science, Multidisciplinary
Dominic Else
Summary: In some phases of matter, continuous symmetry can be spontaneously broken in a topologically nontrivial way, but this can only occur when the system is in a nontrivial symmetry-protected topological or symmetry-enriched topological phase, or when the original symmetry acts on the system in an anomalous way. This is based on a general correspondence between topological defects of the order parameter and background gauge field for the residual symmetry.
Article
Physics, Multidisciplinary
Felix Gerken, Thore Posske, Shaul Mukamel, Michael Thorwart
Summary: We develop a microscopic theory to study the two-dimensional spectroscopy of one-dimensional topological superconductors. By considering a ring geometry with periodic boundary conditions, the energy-specific differences caused by topologically protected or trivial boundary modes are bypassed. Numerical and analytical results show that the cross-peak structure in the 2D spectra carries unique signatures of the topological phases of the chain. Our work reveals the potential of 2D spectroscopy in identifying topological phases in bulk properties.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Xu Zhang, Wenjie Jiang, Jinfeng Deng, Ke Wang, Jiachen Chen, Pengfei Zhang, Wenhui Ren, Hang Dong, Shibo Xu, Yu Gao, Feitong Jin, Xuhao Zhu, Qiujiang Guo, Hekang Li, Chao Song, Alexey Gorshkov, Thomas Iadecola, Fangli Liu, Zhe-Xuan Gong, Zhen Wang, Dong-Ling Deng, H. Wang
Summary: This paper reports the observation of a non-equilibrium state of matter, Floquet symmetry-protected topological phases, implemented through digital quantum simulation with programmable superconducting qubits. The researchers observe robust long-lived temporal correlations and subharmonic temporal response for the edge spins.
Article
Materials Science, Multidisciplinary
Carolyn Zhang
Summary: We propose a framework to classify LPUs with internal, unitary symmetries in d dimensions using (d - 1) dimensional flux insertion operators that can be easily computed. By applying this framework, we derive formulas for topological invariants of LPUs that prepare or entangle SPTs. These formulas can also serve as edge invariants for Floquet topological phases in (d + 1) dimensions that pump d-dimensional SPTs. For 1D SPT entanglers and certain higher dimensional SPT entanglers, our formulas are completely closed-form.
Article
Physics, Mathematical
Yoshiko Ogata
Summary: The study focuses on SPT phases with on-site finite group G symmetry in two-dimensional Fermion systems, and derives an invariant for classification.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2022)
Article
Materials Science, Multidisciplinary
Meng Cheng, Chenjie Wang
Summary: In this paper, we study the classification of interacting fermionic symmetry-protected topological (SPT) phases with both rotation symmetry and Abelian internal symmetries in one, two, and three dimensions. By constructing explicit block states, we demonstrate the correspondence principle between crystalline topological phases and those with internal symmetries. We also discover new classes of intrinsically fermionic SPT phases that can only arise through interactions.
