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A one dimensional, parity-time (${\cal PT}$)-symmetric magnetic metamaterial comprising split-ring resonators having both gain and loss is investigated. In the linear regime, the transition from the exact to the broken ${\cal PT}$-phase is…

Pattern Formation and Solitons · Physics 2014-11-25 G. P. Tsironis , N. Lazarides

The conditions leading to flat dispersionless frequency bands in truly one-dimensional parity-time ($\cal PT$) symmetric metamaterials comprising split-ring resonators (SRRs) arranged in a binary pattern are obtained analytically. In this…

Optics · Physics 2020-05-13 N. Lazarides , G. P. Tsironis

We introduce a one dimensional parity-time (PT)-symmetric nonlinear magnetic metamaterial consisted of split ring dimers having both gain and loss. When nonlinearity is absent we find a transition between an exact to a broken PT-phase; in…

Materials Science · Physics 2013-04-08 N. Lazarides , G. P. Tsironis

We present results on the dynamics of split-ring dimers having both gain and loss in one dimensional nonlinear parity-time- (PT-)symmetric magnetic metamaterials. For the longwave (continuum) limit approximation and in the weakly nonlinear…

Optics · Physics 2013-10-22 Danhua Wang , Alejandro B. Aceves

Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their topological properties would typically reveal from the…

Materials Science · Physics 2019-10-08 Jinyu Zou , Zhuoran He , Gang Xu

We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting…

Strongly Correlated Electrons · Physics 2015-08-05 T. Senthil

We show that metamaterials can be used as a testing ground to investigate spontaneous symmetry breaking associated with non-Hermitian quantum systems. By exploring the interplay between near-field dipolar coupling and material absorption or…

Optics · Physics 2015-06-11 Ming Kang , Fu Liu , Jensen Li

We introduce a class of PT-symmetric systems which include mutually matched nonlinear loss and gain (inother words, a class of PT-invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system…

Mathematical Physics · Physics 2015-05-27 Andrey E. Miroshnichenko , Boris A. Malomed , Yuri S. Kivshar

We study the phenomenon of spontaneous symmetry breaking in dissipationless resonant tunneling heterostructures (RTS). To describe the quantum transport in this system we apply both the nonequilibrium Green function formalism based on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-18 A. A. Gorbatsevich , N. M. Shubin

We establish a new approach for pump-probe simulations of metallic metamaterials coupled to the gain materials. It is of vital importance to understand the mechanism of the coupling of metamaterials with the gain medium. Using a four-level…

Optics · Physics 2012-06-25 Zhixiang Huang , Thomas Koschny , Costas M. Soukoulis

In this article, the non-Hermitian characteristics of three-dimensional PT-symmetric coupled electronic resonators are theoretically analyzed. First, the concept of non-Hermitian PT symmetry is illustrated in the context of electronics…

Applied Physics · Physics 2024-11-04 Ke Yin , Kaihao Tang , Lu Tan , Saddam Ibrahim Dawalbait Bakhat , Tianyu Dong , Huacheng Zhu , Yang Yang

We present experimental, numerical and analytical results for the study of near-field interaction of twisted split-ring resonators, the basic elements of the so-called stereometamaterials. In contrast to previous results, we observe a…

Optics · Physics 2015-03-18 David A. Powell , Kirsty Hannam , Ilya V. Shadrivov , Yuri S. Kivshar

Robustness against small perturbations is a crucial feature of topological properties. This robustness is both a source of theoretical interest and a drive for technological applications, but presents a challenge when looking for new…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Cyrill Bösch , Tena Dubček , Frank Schindler , Andreas Fichtner , Marc Serra-Garcia

One of the fascinating topological phenomena is the end state in one dimensional system. In this work, the topological photonics in the dimer chains composed by the split ring resonators are revealed based on the Su-Schrieffer-Heeger model.…

Optics · Physics 2018-05-23 Jun Jiang , Zhiwei Guo , Ya-qiong Ding , Yong Sun , Yunhui Li , Haitao Jiang , Hong Chen

Using terahertz time domain spectroscopy we investigate the normal incidence transmission through periodically and randomly arranged planar split ring resonators (SRRs). Introduction of positional disorder in metamaterials has no effect on…

Optics · Physics 2015-05-14 Ranjan Singh , Xinchao Lu , Jianqiang Gu , Zhen Tian , Weili Zhang

We study a model consisting of a central $\mathcal{PT}$-symmetric trimer with non-Hermitian strength parameter $\gamma$ coupled to two semi-infinite Su-Schrieffer-Heeger (SSH) leads. We show the existence of two zero-energy modes, one of…

Quantum Physics · Physics 2021-12-30 Savannah Garmon , Kenichi Noba

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

Non-Hermitian systems, with symmetric or antisymmetric Hamiltonians under the parity-time ($\mathcal{PT}$) operations, can have entirely real eigenvalues. This fact has led to surprising discoveries such as loss-induced lasing and…

We formulate gaussian and circular random-matrix models representing a coupled system consisting of an absorbing and an amplifying resonator, which are mutually related by a generalized time-reversal symmetry. Motivated by optical…

Quantum Physics · Physics 2012-12-21 Christopher Birchall , Henning Schomerus

We explore the hybridization of fundamental material resonances with the artificial resonances of metamaterials. A hybrid structure is presented in the waveguide environment that consists of a resonant magnetic material with a…

Materials Science · Physics 2008-10-28 Jonah N. Gollub , David R. Smith , Juan D. Baena
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