2021
DOI: 10.1038/s41586-021-03375-9
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Non-reciprocal phase transitions

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Cited by 313 publications
(236 citation statements)
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References 287 publications
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“…In contrast, energy-consuming colloids have the potential to assemble mobile structures by leveraging unusual non-reciprocal interactions arising away from equilibrium 9 12 . In practice, functional micromachines prominently use concerted behavior of internally driven parts 13 19 and monolithic templates to position active agents 20 24 and encode function: microswimmers power micrometric gears 16 18 , and dynamical micromachines assemble from field-induced interactions 25 , 26 .…”
Section: Introductionmentioning
confidence: 99%
“…In contrast, energy-consuming colloids have the potential to assemble mobile structures by leveraging unusual non-reciprocal interactions arising away from equilibrium 9 12 . In practice, functional micromachines prominently use concerted behavior of internally driven parts 13 19 and monolithic templates to position active agents 20 24 and encode function: microswimmers power micrometric gears 16 18 , and dynamical micromachines assemble from field-induced interactions 25 , 26 .…”
Section: Introductionmentioning
confidence: 99%
“…A quantum system coupled to its environment generally suffers from particle loss and decoherence, thus exhibiting qualitatively different phenomena from an isolated conservative system. Much insight can be obtained of these open quantum systems by resorting to a non-Hermitian description [1,2], under which a wealth of intriguing features naturally emerge, including parity-time symmetry and spectral singularity [3][4][5][6], non-reciprocal and chiral transport [7], as well as non-Hermitian topology and unconventional band theory [8][9][10][11]. Within this context, a particularly fascinating phenomenon is the recently discovered non-Hermitian skin effect (NHSE) [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”
mentioning
confidence: 99%
“…Addition of non-reciprocal flavour to specific interactions turns the equilibrium multifarious selfassembly model into the non-equilibrium multifarious self-organization model with new shape shifting property. Inspired by recent diverse physical models with non-reciprocal interactions [18][19][20][21][22][23][24][25][26], we introduce nonreciprocal interactions between the tiles as follows. We define…”
Section: B Non-reciprocal Interactionsmentioning
confidence: 99%
“…Broken action-reaction symmetry has been recently explored in active matter in the context of nonequilibrium phoretic interactions between catalytically active colloids and enzymes [12], and shown to lead formation of self-propelled active molecules that break time-reversal symmetry [13], oscillating active complexes that break time-translation symmetry [14], chiral boundstates [15], and active phase separation with specified stoichiometry [16,17]. Non-reciprocal interactions have been found to lead to rich physical phenomena involving various forms of spontaneous symmetry-breaking in other related non-equilibrium contexts [18][19][20][21][22][23][24], including early work in the context of asymmetric neural networks [25,26]. We note that a number of strategies have been recently pursued towards experimental realization of shape-shifting soft matter structures [27][28][29][30].…”
Section: Introductionmentioning
confidence: 99%