A scale-free topological directional amplification is found in the Hatano-Nelson model with perturbed open boundaries, attributed to first-order boundary effects and characterized by a winding number on a continuous generalization of the finite-size Brillouin zone.
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A hypersphere-like non-Abelian Yang monopole is identified in the 5D parameter space of a 4D non-Hermitian system and topologically characterized via the second Chern number.
Gapped non-Hermitian systems exhibit topologically distinct spectral Riemann sheet configurations protected by energy gaps, formed by annihilating exceptional points across the Brillouin zone boundary.
In the Z3 chiral clock model, DQPTs emerge only for special angles in the chiral phase, with an analytical expression derived for the zeros of the dynamical partition function.
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Scale-Free Response with Directional Amplification in Critical Non-Hermitian Systems
A scale-free topological directional amplification is found in the Hatano-Nelson model with perturbed open boundaries, attributed to first-order boundary effects and characterized by a winding number on a continuous generalization of the finite-size Brillouin zone.
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A hypersphere-like non-Abelian Yang monopole and its topological characterization
A hypersphere-like non-Abelian Yang monopole is identified in the 5D parameter space of a 4D non-Hermitian system and topologically characterized via the second Chern number.
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Spectral Riemann Sheet Topology of Gapped Non-Hermitian Systems
Gapped non-Hermitian systems exhibit topologically distinct spectral Riemann sheet configurations protected by energy gaps, formed by annihilating exceptional points across the Brillouin zone boundary.
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Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
In the Z3 chiral clock model, DQPTs emerge only for special angles in the chiral phase, with an analytical expression derived for the zeros of the dynamical partition function.