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The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order. Non-Hermitian systems exhibit unique features with no counterparts in topological Hermitian models, such as failure of the conventional bulk-boundary correspondence and non-Hermitian skin effect. Advances in the understanding of the topological properties of non-Hermitian lattices with translational invariance have been reported in several recent studies; however little is known about non-Hermitian quasicrystals. Here we disclose topological phases in a quasicrystal with parity-time (PT) symmetry, described by a non-Hermitian extension of the Aubry-André-Harper model. It is shown that the metal-insulating phase transition, observed at the PT symmetry breaking point, is of topological nature and can be expressed in terms of a winding number. A photonic realization of a non-Hermitian quasicrystal is also suggested.
This article was published in the following journal.
Name: Physical review letters
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Regulatory signaling systems that control the progression of the CELL CYCLE through the G1 PHASE and allow transition to S PHASE when the cells are ready to undergo DNA REPLICATION. DNA DAMAGE, or the deficiencies in specific cellular components or nutrients may cause the cells to halt before progressing through G1 phase.
A cyclin subtype that is transported into the CELL NUCLEUS at the end of the G2 PHASE. It stimulates the G2/M phase transition by activating CDC2 PROTEIN KINASE.
Members of the src-family tyrosine kinases that are activated during the transition from G2 PHASE to M PHASE of the CELL CYCLE. It is highly homologous to PROTO-ONCOGENE PROTEIN PP60(C-SRC).
A cyclin-dependent kinase that forms a complex with CYCLIN C and is active during the G1 PHASE of the CELL CYCLE. It plays a role in the transition from G1 to S PHASE and in transcriptional regulation.
A change of a substance from one form or state to another.
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