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Topological Disclination States and Charge Fractionalization in a Non-Hermitian Lattice
Rimi Banerjee1, Subhaskar Mandal1, Yun Yong Terh1
1School of Physical and Mathematical Sciences, <a href="https://ror.org/02e7b5302">Nanyang Technological University</a>, Singapore 637371, Singapore.
Abstract:
We show that a non-Hermitian lattice with a disclination can host topological disclination states that are induced by on-site gain and loss. The disclination states are inherently non-Hermitian as they do not exist in the limit of zero gain or loss. They arise from charge fractionalization in the non-Hermitian lattice, which we establish using non-Hermitian Wilson loops calculated with biorthogonal products. The model is suitable for realization on established experimental platforms, such as arrays of photonic or polaritonic resonators. The emergence of the topological disclination states can manifest as an abrupt shift in emission intensity and frequency with varying gain or loss.
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