id sid tid token lemma pos t435gb2303x 1 1 the the DET t435gb2303x 1 2 behavior behavior NOUN t435gb2303x 1 3 of of ADP t435gb2303x 1 4 vortex vortex NOUN t435gb2303x 1 5 matter matter NOUN t435gb2303x 1 6 is be AUX t435gb2303x 1 7 critical critical ADJ t435gb2303x 1 8 to to ADP t435gb2303x 1 9 the the DET t435gb2303x 1 10 applications application NOUN t435gb2303x 1 11 of of ADP t435gb2303x 1 12 superconductivity superconductivity NOUN t435gb2303x 1 13 and and CCONJ t435gb2303x 1 14 the the DET t435gb2303x 1 15 effective effective ADJ t435gb2303x 1 16 control control NOUN t435gb2303x 1 17 of of ADP t435gb2303x 1 18 abrikosov abrikosov NOUN t435gb2303x 1 19 vortices vortex NOUN t435gb2303x 1 20 can can AUX t435gb2303x 1 21 lead lead VERB t435gb2303x 1 22 to to ADP t435gb2303x 1 23 higher high ADJ t435gb2303x 1 24 dissipation dissipation NOUN t435gb2303x 1 25 - - PUNCT t435gb2303x 1 26 free free ADJ t435gb2303x 1 27 current current ADJ t435gb2303x 1 28 carrying carrying NOUN t435gb2303x 1 29 capacity capacity NOUN t435gb2303x 1 30 ( ( PUNCT t435gb2303x 1 31 critical critical ADJ t435gb2303x 1 32 current current NOUN t435gb2303x 1 33 ) ) PUNCT t435gb2303x 1 34 . . PUNCT t435gb2303x 2 1 in in ADP t435gb2303x 2 2 this this DET t435gb2303x 2 3 thesis thesis NOUN t435gb2303x 2 4 , , PUNCT t435gb2303x 2 5 we we PRON t435gb2303x 2 6 study study VERB t435gb2303x 2 7 the the DET t435gb2303x 2 8 superconducting superconducte VERB t435gb2303x 2 9 vortex vortex NOUN t435gb2303x 2 10 dynamics dynamic NOUN t435gb2303x 2 11 under under ADP t435gb2303x 2 12 different different ADJ t435gb2303x 2 13 pinning pin VERB t435gb2303x 2 14 potential potential ADJ t435gb2303x 2 15 systems system NOUN t435gb2303x 2 16 via via ADP t435gb2303x 2 17 numerical numerical ADJ t435gb2303x 2 18 simulations simulation NOUN t435gb2303x 2 19 . . PUNCT t435gb2303x 3 1 we we PRON t435gb2303x 3 2 first first ADV t435gb2303x 3 3 show show VERB t435gb2303x 3 4 that that SCONJ t435gb2303x 3 5 on on ADP t435gb2303x 3 6 a a DET t435gb2303x 3 7 moire moire NOUN t435gb2303x 3 8 pinning pinning NOUN t435gb2303x 3 9 pattern pattern NOUN t435gb2303x 3 10 , , PUNCT t435gb2303x 3 11 the the DET t435gb2303x 3 12 critical critical ADJ t435gb2303x 3 13 current current ADJ t435gb2303x 3 14 shows show NOUN t435gb2303x 3 15 pronounced pronounce VERB t435gb2303x 3 16 dips dip NOUN t435gb2303x 3 17 at at ADP t435gb2303x 3 18 commensurate commensurate ADJ t435gb2303x 3 19 angles angle NOUN t435gb2303x 3 20 due due ADP t435gb2303x 3 21 to to ADP t435gb2303x 3 22 vortices vortex NOUN t435gb2303x 3 23 flowing flow VERB t435gb2303x 3 24 in in ADP t435gb2303x 3 25 ordered ordered ADJ t435gb2303x 3 26 quasi quasi ADJ t435gb2303x 3 27 - - NOUN t435gb2303x 3 28 one one NUM t435gb2303x 3 29 - - PUNCT t435gb2303x 3 30 dimensional dimensional ADJ t435gb2303x 3 31 channels channel NOUN t435gb2303x 3 32 . . PUNCT t435gb2303x 4 1 these these DET t435gb2303x 4 2 flow flow NOUN t435gb2303x 4 3 channels channel NOUN t435gb2303x 4 4 break break VERB t435gb2303x 4 5 apart apart ADV t435gb2303x 4 6 at at ADP t435gb2303x 4 7 incommensurate incommensurate ADJ t435gb2303x 4 8 angles angle NOUN t435gb2303x 4 9 and and CCONJ t435gb2303x 4 10 for for ADP t435gb2303x 4 11 certain certain ADJ t435gb2303x 4 12 angles angle NOUN t435gb2303x 4 13 , , PUNCT t435gb2303x 4 14 the the DET t435gb2303x 4 15 pinning pinning NOUN t435gb2303x 4 16 pattern pattern NOUN t435gb2303x 4 17 forms form VERB t435gb2303x 4 18 five five NUM t435gb2303x 4 19 - - ADJ t435gb2303x 4 20 fold fold ADJ t435gb2303x 4 21 symmetry symmetry NOUN t435gb2303x 4 22 which which PRON t435gb2303x 4 23 can can AUX t435gb2303x 4 24 further far ADV t435gb2303x 4 25 suppress suppress VERB t435gb2303x 4 26 the the DET t435gb2303x 4 27 easy easy ADJ t435gb2303x 4 28 flow flow NOUN t435gb2303x 4 29 channeling channeling NOUN t435gb2303x 4 30 . . PUNCT t435gb2303x 5 1 we we PRON t435gb2303x 5 2 also also ADV t435gb2303x 5 3 study study VERB t435gb2303x 5 4 the the DET t435gb2303x 5 5 vortex vortex NOUN t435gb2303x 5 6 dynamics dynamic NOUN t435gb2303x 5 7 on on ADP t435gb2303x 5 8 the the DET t435gb2303x 5 9 so so ADV t435gb2303x 5 10 - - PUNCT t435gb2303x 5 11 called call VERB t435gb2303x 5 12 " " PUNCT t435gb2303x 5 13 santa santa PROPN t435gb2303x 5 14 fe fe PROPN t435gb2303x 5 15 ice ice PROPN t435gb2303x 5 16 " " PUNCT t435gb2303x 5 17 pining pine VERB t435gb2303x 5 18 array array NOUN t435gb2303x 5 19 and and CCONJ t435gb2303x 5 20 show show VERB t435gb2303x 5 21 that that SCONJ t435gb2303x 5 22 due due ADP t435gb2303x 5 23 to to ADP t435gb2303x 5 24 the the DET t435gb2303x 5 25 frustrated frustrated ADJ t435gb2303x 5 26 geometry geometry NOUN t435gb2303x 5 27 , , PUNCT t435gb2303x 5 28 the the DET t435gb2303x 5 29 critical critical ADJ t435gb2303x 5 30 current current ADJ t435gb2303x 5 31 profile profile NOUN t435gb2303x 5 32 of of ADP t435gb2303x 5 33 such such DET t435gb2303x 5 34 a a DET t435gb2303x 5 35 superconductor superconductor NOUN t435gb2303x 5 36 does do AUX t435gb2303x 5 37 not not PART t435gb2303x 5 38 present present VERB t435gb2303x 5 39 any any DET t435gb2303x 5 40 commensurability commensurability NOUN t435gb2303x 5 41 - - PUNCT t435gb2303x 5 42 induced induce VERB t435gb2303x 5 43 peaks peak NOUN t435gb2303x 5 44 like like ADP t435gb2303x 5 45 the the DET t435gb2303x 5 46 ones one NOUN t435gb2303x 5 47 observed observe VERB t435gb2303x 5 48 in in ADP t435gb2303x 5 49 other other ADJ t435gb2303x 5 50 periodic periodic ADJ t435gb2303x 5 51 patterns pattern NOUN t435gb2303x 5 52 . . PUNCT t435gb2303x 6 1 when when SCONJ t435gb2303x 6 2 above above ADP t435gb2303x 6 3 the the DET t435gb2303x 6 4 critical critical ADJ t435gb2303x 6 5 current current NOUN t435gb2303x 6 6 , , PUNCT t435gb2303x 6 7 the the DET t435gb2303x 6 8 vortices vortex NOUN t435gb2303x 6 9 in in ADP t435gb2303x 6 10 santa santa PROPN t435gb2303x 6 11 fe fe PROPN t435gb2303x 6 12 pinning pinning NOUN t435gb2303x 6 13 pattern pattern NOUN t435gb2303x 6 14 develop develop VERB t435gb2303x 6 15 both both CCONJ t435gb2303x 6 16 transverse transverse NOUN t435gb2303x 6 17 and and CCONJ t435gb2303x 6 18 longitudinal longitudinal ADJ t435gb2303x 6 19 flow flow NOUN t435gb2303x 6 20 channels channel NOUN t435gb2303x 6 21 while while SCONJ t435gb2303x 6 22 easy easy ADJ t435gb2303x 6 23 straight straight ADJ t435gb2303x 6 24 channels channel NOUN t435gb2303x 6 25 form form VERB t435gb2303x 6 26 in in ADP t435gb2303x 6 27 the the DET t435gb2303x 6 28 square square ADJ t435gb2303x 6 29 lattice lattice NOUN t435gb2303x 6 30 . . PUNCT t435gb2303x 7 1 we we PRON t435gb2303x 7 2 also also ADV t435gb2303x 7 3 collaborate collaborate VERB t435gb2303x 7 4 with with ADP t435gb2303x 7 5 an an DET t435gb2303x 7 6 experiment experiment NOUN t435gb2303x 7 7 group group NOUN t435gb2303x 7 8 at at ADP t435gb2303x 7 9 argonne argonne PROPN t435gb2303x 7 10 national national PROPN t435gb2303x 7 11 lab lab PROPN t435gb2303x 7 12 and and CCONJ t435gb2303x 7 13 provide provide VERB t435gb2303x 7 14 simulation simulation NOUN t435gb2303x 7 15 evidence evidence NOUN t435gb2303x 7 16 on on ADP t435gb2303x 7 17 the the DET t435gb2303x 7 18 vortex vortex NOUN t435gb2303x 7 19 flow flow NOUN t435gb2303x 7 20 in in ADP t435gb2303x 7 21 liquid liquid ADJ t435gb2303x 7 22 state state NOUN t435gb2303x 7 23 under under ADP t435gb2303x 7 24 different different ADJ t435gb2303x 7 25 artificial artificial ADJ t435gb2303x 7 26 spin spin NOUN t435gb2303x 7 27 ice ice NOUN t435gb2303x 7 28 configurations configuration NOUN t435gb2303x 7 29 and and CCONJ t435gb2303x 7 30 show show VERB t435gb2303x 7 31 that that SCONJ t435gb2303x 7 32 the the DET t435gb2303x 7 33 resistivity resistivity NOUN t435gb2303x 7 34 response response NOUN t435gb2303x 7 35 in in ADP t435gb2303x 7 36 liquid liquid ADJ t435gb2303x 7 37 state state NOUN t435gb2303x 7 38 can can AUX t435gb2303x 7 39 be be AUX t435gb2303x 7 40 controlled control VERB t435gb2303x 7 41 by by ADP t435gb2303x 7 42 the the DET t435gb2303x 7 43 underlying underlying ADJ t435gb2303x 7 44 magnetic magnetic ADJ t435gb2303x 7 45 potential potential ADJ t435gb2303x 7 46 landscapes landscape NOUN t435gb2303x 7 47 . . PUNCT t435gb2303x 8 1 we we PRON t435gb2303x 8 2 also also ADV t435gb2303x 8 3 present present VERB t435gb2303x 8 4 a a DET t435gb2303x 8 5 thorough thorough ADJ t435gb2303x 8 6 numerical numerical ADJ t435gb2303x 8 7 study study NOUN t435gb2303x 8 8 on on ADP t435gb2303x 8 9 the the DET t435gb2303x 8 10 vortex vortex NOUN t435gb2303x 8 11 ratchet ratchet NOUN t435gb2303x 8 12 motion motion NOUN t435gb2303x 8 13 induced induce VERB t435gb2303x 8 14 by by ADP t435gb2303x 8 15 asymmetric asymmetric ADJ t435gb2303x 8 16 potentials potential NOUN t435gb2303x 8 17 in in ADP t435gb2303x 8 18 such such ADJ t435gb2303x 8 19 systems system NOUN t435gb2303x 8 20 . . PUNCT t435gb2303x 9 1 at at ADP t435gb2303x 9 2 a a DET t435gb2303x 9 3 more more ADV t435gb2303x 9 4 fundamental fundamental ADJ t435gb2303x 9 5 level level NOUN t435gb2303x 9 6 , , PUNCT t435gb2303x 9 7 we we PRON t435gb2303x 9 8 propose propose VERB t435gb2303x 9 9 a a DET t435gb2303x 9 10 network network NOUN t435gb2303x 9 11 science science NOUN t435gb2303x 9 12 approach approach NOUN t435gb2303x 9 13 to to PART t435gb2303x 9 14 systematically systematically ADV t435gb2303x 9 15 study study VERB t435gb2303x 9 16 the the DET t435gb2303x 9 17 potential potential ADJ t435gb2303x 9 18 energy energy NOUN t435gb2303x 9 19 landscapes landscape NOUN t435gb2303x 9 20 of of ADP t435gb2303x 9 21 confined confine VERB t435gb2303x 9 22 vortex vortex NOUN t435gb2303x 9 23 matter matter NOUN t435gb2303x 9 24 . . PUNCT t435gb2303x 10 1 we we PRON t435gb2303x 10 2 find find VERB t435gb2303x 10 3 that that SCONJ t435gb2303x 10 4 after after ADP t435gb2303x 10 5 mapping map VERB t435gb2303x 10 6 the the DET t435gb2303x 10 7 full full ADJ t435gb2303x 10 8 configuration configuration NOUN t435gb2303x 10 9 space space NOUN t435gb2303x 10 10 onto onto ADP t435gb2303x 10 11 a a DET t435gb2303x 10 12 complex complex ADJ t435gb2303x 10 13 network network NOUN t435gb2303x 10 14 , , PUNCT t435gb2303x 10 15 the the DET t435gb2303x 10 16 energetic energetic ADJ t435gb2303x 10 17 property property NOUN t435gb2303x 10 18 of of ADP t435gb2303x 10 19 the the DET t435gb2303x 10 20 system system NOUN t435gb2303x 10 21 is be AUX t435gb2303x 10 22 correlated correlate VERB t435gb2303x 10 23 with with ADP t435gb2303x 10 24 the the DET t435gb2303x 10 25 topology topology NOUN t435gb2303x 10 26 of of ADP t435gb2303x 10 27 its its PRON t435gb2303x 10 28 network network NOUN t435gb2303x 10 29 representation representation NOUN t435gb2303x 10 30 . . PUNCT t435gb2303x 11 1 in in ADP t435gb2303x 11 2 the the DET t435gb2303x 11 3 vast vast ADJ t435gb2303x 11 4 majority majority NOUN t435gb2303x 11 5 of of ADP t435gb2303x 11 6 cases case NOUN t435gb2303x 11 7 , , PUNCT t435gb2303x 11 8 the the DET t435gb2303x 11 9 ground ground NOUN t435gb2303x 11 10 state state NOUN t435gb2303x 11 11 of of ADP t435gb2303x 11 12 the the DET t435gb2303x 11 13 system system NOUN t435gb2303x 11 14 belongs belong VERB t435gb2303x 11 15 to to ADP t435gb2303x 11 16 the the DET t435gb2303x 11 17 sub sub NOUN t435gb2303x 11 18 - - NOUN t435gb2303x 11 19 network network NOUN t435gb2303x 11 20 with with ADP t435gb2303x 11 21 the the DET t435gb2303x 11 22 highest high ADJ t435gb2303x 11 23 number number NOUN t435gb2303x 11 24 connections connection NOUN t435gb2303x 11 25 . . PUNCT t435gb2303x 12 1 furthermore furthermore ADV t435gb2303x 12 2 , , PUNCT t435gb2303x 12 3 with with ADP t435gb2303x 12 4 the the DET t435gb2303x 12 5 large large ADJ t435gb2303x 12 6 scale scale NOUN t435gb2303x 12 7 computing computing NOUN t435gb2303x 12 8 methods method NOUN t435gb2303x 12 9 , , PUNCT t435gb2303x 12 10 we we PRON t435gb2303x 12 11 show show VERB t435gb2303x 12 12 that that SCONJ t435gb2303x 12 13 the the DET t435gb2303x 12 14 system system NOUN t435gb2303x 12 15 stability stability NOUN t435gb2303x 12 16 depends depend VERB t435gb2303x 12 17 on on ADP t435gb2303x 12 18 the the DET t435gb2303x 12 19 container container NOUN t435gb2303x 12 20 symmetry symmetry NOUN t435gb2303x 12 21 , , PUNCT t435gb2303x 12 22 container container NOUN t435gb2303x 12 23 size size NOUN t435gb2303x 12 24 and and CCONJ t435gb2303x 12 25 vortex vortex NOUN t435gb2303x 12 26 number number NOUN t435gb2303x 12 27 . . PUNCT