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10.1073/pnas.1705042114 http://scihub22266oqcxt.onion/10.1073/pnas.1705042114 C5776787!5776787!29259107     free     free     free       Proc+Natl+Acad+Sci+U+S+A 2018 ; 115 (1): 19-23 Nephropedia Template TP {{tp|p=29259107|t=2018. Size-driven quantum phase transitions |pdf=|usr=}}{{29259107}} gab.com Text Size-driven quantum phase transitions JO: Proc Natl Acad Sci U S A http://www.kidney.de/pget.php?&tw=1&pmid=29259107 #FOAvip In this work we construct simple examples of 2D quantum spin-lattice models with small (?10) local state spaces which exhibit very unusual finite-size effects that we term ?size-driven phase transitions?: For all system sizes smaller than some threshold N, the low-energy physics are classical; for all sizes larger than N, the system exhibits topological quantum order. Most quantum many-body models are too complex to be solved analytically; our theoretical understanding comes from extrapolating numerical simulations of finite systems to the thermodynamic limit. However, this approach cannot work for the size-driven effects revealed here. We give explicit examples where the threshold size is beyond the capability of any foreseeable numerics (N>1036,000). Twit Text FOAVip Size-driven quantum phase transitions ????Proc Natl Acad Sci U S A http://www.kidney.de/pget.php?&tw=1&pmid=29259107 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=29259107 #FOAvip English Wikipedia <ref>{{Cite pmid|29259107}}</ref> Size-driven quantum phase transitions #MMPMID29259107 Bausch J; Cubitt TS; Lucia A; Perez-Garcia D; Wolf MM Proc Natl Acad Sci U S A 2018[Jan]; 115 (1): 19-23 PMID29259107show ga In this work we construct simple examples of 2D quantum spin-lattice models with small (?10) local state spaces which exhibit very unusual finite-size effects that we term ?size-driven phase transitions?: For all system sizes smaller than some threshold N, the low-energy physics are classical; for all sizes larger than N, the system exhibits topological quantum order. Most quantum many-body models are too complex to be solved analytically; our theoretical understanding comes from extrapolating numerical simulations of finite systems to the thermodynamic limit. However, this approach cannot work for the size-driven effects revealed here. We give explicit examples where the threshold size is beyond the capability of any foreseeable numerics (N>1036,000). äSize-driven quantum phase transitions (epmc).pdf DeepDyve Pubget Overpricing