NRG Ljubljana (c) Rok Zitko, rok.zitko@ijs.si, 2005-2018 Mathematica version: 11.3.0 for Linux x86 (64-bit) (March 7, 2018) sneg version: 1.250 Loading module initialparse.m Options: {} Loading module models.m "models started" Loading module custommodels.m models $Id: custommodels.m,v 1.1 2015/11/09 12:23:47 rokzitko Exp rokzitko $ custommodels.m done Loading module ../model.m def1ch, NRDOTS=1 COEFCHANNELS:1 H0=coefzeta[1, 0]*(-1 + nc[f[0, 0, 0], f[1, 0, 0]] + nc[f[0, 0, 1], f[1, 0, 1]]) adddots, nrdots=1 "selfopd[CR,UP]="-nc[d[0, 1], epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]])] + nc[epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]]), d[0, 1]] - 0.5*nc[d[0, 0], d[0, 1], d[1, 0]] "selfopd[CR,DO]="-nc[d[0, 0], epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]])] + nc[epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]]), d[0, 0]] + 0.5*nc[d[0, 0], d[0, 1], d[1, 1]] "selfopd[AN,UP]="-nc[d[1, 1], epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]])] + nc[epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]]), d[1, 1]] - 0.5*nc[d[0, 0], d[1, 0], d[1, 1]] "selfopd[AN,DO]="-nc[d[1, 0], epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]])] + nc[epsilon*(nc[d[0, 0], d[1, 0]] + nc[d[0, 1], d[1, 1]]), d[1, 0]] + 0.5*nc[d[0, 1], d[1, 0], d[1, 1]] UpSet::write: Tag Gamma in isnumericQ[Gamma] is Protected. UpSet::write: Tag Gamma in Conjugate[Gamma] is Protected. params={gammaPol -> Sqrt[gammaA*theta0]/Sqrt[Pi], gammaPolCh[ch_] :> Sqrt[1/Pi*theta0Ch[ch]*gammaA], hybV[i_, j_] :> Sqrt[1/Pi]*V[i, j], coefzeta[ch_, j__] :> N[bandrescale*zeta[ch][j]], coefxi[ch_, j__] :> N[bandrescale*xi[ch][j]], coefrung[ch_, j__] :> N[bandrescale*zetaR[ch][j]], coefdelta[ch_, j__] :> N[bandrescale*scdelta[ch][j]], coefkappa[ch_, j__] :> N[bandrescale*sckappa[ch][j]], U -> 0.5, delta -> 0., t -> 0., gammaPol2 -> Sqrt[extraGamma2*gammaA*thetaCh[1]]/Sqrt[Pi], gammaPol2to2 -> Sqrt[extraGamma2to2*gammaA*thetaCh[2]]/Sqrt[Pi], gammaPolch1 -> Sqrt[extraGamma1*gammaA*thetaCh[1]]/Sqrt[Pi], gammaPolch2 -> Sqrt[extraGamma2*gammaA*thetaCh[2]]/Sqrt[Pi], gammaPolch3 -> Sqrt[extraGamma3*gammaA*thetaCh[3]]/Sqrt[Pi], Jspin -> extraJspin*gammaA, Jcharge -> extraJcharge*gammaA, Jcharge1 -> extraJcharge1*gammaA, Jcharge2 -> extraJcharge2*gammaA, Jkondo -> extraJkondo*gammaA, Jkondo1 -> extraJkondo1*gammaA, Jkondo2 -> extraJkondo2*gammaA, Jkondo3 -> extraJkondo3*gammaA, Jkondo1P -> extraJkondo1P*gammaA, Jkondo2P -> extraJkondo2P*gammaA, Jkondo1Z -> extraJkondo1Z*gammaA, Jkondo2Z -> extraJkondo2Z*gammaA, JkondoP -> extraJkondoP*gammaA, JkondoZ -> extraJkondoZ*gammaA, Jkondo1ch2 -> extraJkondo1ch2*gammaA, Jkondo2ch2 -> extraJkondo2ch2*gammaA, gep -> extrag, dd -> extrad, hybV11 -> Sqrt[extraGamma11*gammaA*thetaCh[1]]/Sqrt[Pi], hybV12 -> Sqrt[extraGamma12*gammaA*thetaCh[2]]/Sqrt[Pi], hybV21 -> Sqrt[extraGamma21*gammaA*thetaCh[1]]/Sqrt[Pi], hybV22 -> Sqrt[extraGamma22*gammaA*thetaCh[2]]/Sqrt[Pi], U -> 0.5, epsilon -> -0.15, Gamma -> 0.03} NRDOTS:1 CHANNELS:1 basis:{d[], f[0]} lrchain:{} lrextrarule:{} NROPS:2 Hamiltonian generated. -coefzeta[1, 0] + epsilon*nc[d[0, 0], d[1, 0]] + gammaPolCh[1]*nc[d[0, 0], f[1, 0, 0]] + epsilon*nc[d[0, 1], d[1, 1]] + gammaPolCh[1]*nc[d[0, 1], f[1, 0, 1]] + gammaPolCh[1]*nc[f[0, 0, 0], d[1, 0]] + coefzeta[1, 0]*nc[f[0, 0, 0], f[1, 0, 0]] + gammaPolCh[1]*nc[f[0, 0, 1], d[1, 1]] + coefzeta[1, 0]*nc[f[0, 0, 1], f[1, 0, 1]] - U*nc[d[0, 0], d[0, 1], d[1, 0], d[1, 1]] H-conj[H]=0 SCALE[0]=1.0353518430881692 faktor=1.5271512197902586 Generating basis Basis states generated. BASIS NR=16 Basis: basis.model..QS PREC=1000 Tmin=1.*^-8 Tmin=1.*^-8 ==> Nmax=40 DISCNMAX=40 mMAX=80 rho[0]=0.0000300161346563077 pos=0.000613480452894044 neg=0.0006514280199551451 theta=0.039965613283678223807556166393701616598783240298284976977330052185131147079338206751948934344654232602718977492477254476698438072714423851596896060071804477917612364227380594154002567252570665320645265155756169678505555196434058643\ 02087382128319009938644855709975271427452406197776513993849058417584770247089484005963299572750273658032460244536545544218565615133765918567454069635410848851995154627148382524889286317740178384939782548693778506963223547006038215294157374\ 65635941693583704097650255301103041313055275279746278124721043467832408430156407479082064033219208316889280385141879808222018763979312832837349001111778999864240250688920175072703013032504225828299163660366780353561350197095289825969666711\ 65037102712369662310860182035593153550630347551363188950436792262553552988239562440845989893696177306941522191325244954709215154053837382316710002340954123223692852978643040793409024665159228178385047392770197930327599697074380253432261472\ 4913455982876723127910573880830446603121538376130646061679012847325749441`1000. {1, 1.100023287539991} {2, 1.107634913596476} {3, 1.1103012659121658} {4, 1.1114434001712978} {5, 1.1119744305090886} {6, 1.1122307303271104} {7, 1.112356674047669} {8, 1.112419103059048} {9, 1.1124501740567914} {10, 1.1124656684953829} {11, 1.1124733714439932} {12, 1.1124771154865989} {13, 1.1124787066408865} {14, 1.1124786943478098} {15, 1.1124764017219975} {16, 1.112468804756858} {17, 1.1124467456972584} {18, 1.112384066202235} {19, 1.1122066444369292} {20, 1.1119234964056277} {21, 1.1116403483743262} {22, 1.1113572003430248} {23, 1.1110740523117233} {24, 1.1107909042804218} {25, 1.1105077562491203} {26, 1.1102246082178189} {27, 1.1099414601865174} {28, 1.1096583121552157} {29, 1.109658312155216} {30, 1.109658312155216} {1, 1.1182750743794574} {2, 1.1158288707364674} {3, 1.1142956425657393} {4, 1.1134281494699296} {5, 1.1129652595121178} {6, 1.1127259522720465} {7, 1.1126042595310897} {8, 1.1125428880368373} {9, 1.1125120534750714} {10, 1.1124965719636404} {11, 1.1124887206689924} {12, 1.112484500194233} {13, 1.1124815788638875} {14, 1.1124778106062312} {15, 1.1124693980581732} {16, 1.1124467428726308} {17, 1.1123832175114896} {18, 1.1122038072754807} {19, 1.111696433318933} {20, 1.1108868577296742} {21, 1.1100772821404157} {22, 1.1092677065511571} {23, 1.1084581309618984} {24, 1.1076485553726398} {25, 1.1068389797833813} {26, 1.1060294041941225} {27, 1.1052198286048638} {28, 1.104410253015605} {29, 1.1044102530156052} {30, 1.1044102530156052} Diagonalisation. Discretization checksum [-1] (channel 1): 8.7812705742292675892963`10.*^-36 BAND="asymode" thetaCh={"0.03996561328"} Discretization (channel 1) "xitable" (channel 1) 0.6078581469 0.3267689958 0.281210514 0.1440061564 0.1158881978 0.05847177354 0.04657953654 0.02344093885 0.01864610811 0.009379390483 0.007459345835 0.00375192125 0.002983792789 0.001500780355 0.001193517168 0.000600319185 0.0004774016373 0.0002401384604 0.0001909520721 0.00009607245435 0.00007636725005 0.00003845594504 0.00003052548439 0.00001542480112 0.00001217670584 6.235576951e-6 4.820386336e-6 2.58863916e-6 1.866851397e-6 1.132219018e-6 7.383153749e-7 4.890617834e-7 3.124897788e-7 1.978529e-7 1.25126955e-7 7.914414351e-8 5.003702683e-8 3.164789674e-8 2.000537146e-8 1.265221071e-8 7.997957132e-9 "zetatable" (channel 1) -0.2086575108 0.1413786117 0.01117061746 0.03060957827 0.00336477148 0.00557280624 0.0006160541602 0.0009828215699 0.0001070388012 0.0001742369524 0.0000186324811 0.00003124033403 3.277555086e-6 5.669945041e-6 5.835732979e-7 1.041449679e-6 1.052163948e-7 1.934744068e-7 1.921540112e-8 3.631904291e-8 3.560674126e-9 6.880602517e-9 6.757325742e-10 1.313549117e-9 1.373069602e-10 2.529612046e-10 3.534243548e-11 5.066283429e-11 1.556730419e-11 1.331679116e-11 1.107160383e-11 8.324952591e-12 9.880922501e-12 9.114148958e-12 9.568953608e-12 1.152387272e-11 8.35494475e-12 1.541741369e-11 7.531427407e-12 1.236584707e-11 4.933834166e-12 Precision last xi:956.3976310929447 Precision last zeta: 953.4276407615489 Discretization done. --EOF-- {{# Input file for NRG Ljubljana, Rok Zitko, rok.zitko@ijs.si, 2005-2015}, {# symtype , QS}, {# Using sneg version , 1.250}, {#!8}, {# Number of channels, impurities, chain sites, subspaces: }, {1, 1, 40, 6}} maketable[] exnames={d, epsilon, g, Gamma, Gamma1, Gamma11, Gamma12, Gamma2, Gamma21, Gamma22, Gamma2to2, Gamma3, Jcharge, Jcharge1, Jcharge2, Jkondo, Jkondo1, Jkondo1ch2, Jkondo1P, Jkondo1Z, Jkondo2, Jkondo2ch2, Jkondo2P, Jkondo2Z, Jkondo3, JkondoP, JkondoZ, Jspin, U} UpSet::write: Tag Gamma in isnumericQ[Gamma] is Protected. UpSet::write: Tag Gamma in Conjugate[Gamma] is Protected. thetaCh={"0.03996561328"} theta0Ch={"0.039965613283678224"} gammaPolCh={"0.1127894047133551"} checkdefinitions[] -> -0.5574998919424585 calcgsenergy[] diagvc[{-2, 1}] Generating matrix: ham.model..QS_-2.1 hamil={{-coefzeta[1, 0]}} dim={1, 1} det[vec]=1. 1-abs=0. orthogonality check=0. diagvc[{-1, 2}] Generating matrix: ham.model..QS_-1.2 hamil={{0, gammaPolCh[1]}, {gammaPolCh[1], epsilon - coefzeta[1, 0]}} dim={2, 2} det[vec]=1. 1-abs=0. orthogonality check=0. diagvc[{0, 1}] Generating matrix: ham.model..QS_0.1 hamil={{coefzeta[1, 0], Sqrt[2]*gammaPolCh[1], 0}, {Sqrt[2]*gammaPolCh[1], epsilon, Sqrt[2]*gammaPolCh[1]}, {0, Sqrt[2]*gammaPolCh[1], 2*epsilon + U - coefzeta[1, 0]}} dim={3, 3} det[vec]=1.0000000000000002 1-abs=-2.220446049250313*^-16 orthogonality check=4.163336342344337*^-16 diagvc[{0, 3}] Generating matrix: ham.model..QS_0.3 hamil={{epsilon}} dim={1, 1} det[vec]=1. 1-abs=0. orthogonality check=0. diagvc[{1, 2}] Generating matrix: ham.model..QS_1.2 hamil={{epsilon + coefzeta[1, 0], -gammaPolCh[1]}, {-gammaPolCh[1], 2*epsilon + U}} dim={2, 2} det[vec]=1.0000000000000002 1-abs=-2.220446049250313*^-16 orthogonality check=4.440892098500626*^-16 diagvc[{2, 1}] Generating matrix: ham.model..QS_2.1 hamil={{2*epsilon + U + coefzeta[1, 0]}} dim={1, 1} det[vec]=1. 1-abs=0. orthogonality check=0. Lowest energies (absolute):{-0.38056952854751663, -0.3559784360138789, -0.15, -0.087211476748668, -0.0476904823131461, -0.008657510795879064, 0.14586898754454708, 0.20865751079587908, 0.22191201775163752, 0.4536689183270249} Lowest energies (GS shifted):{0., 0.024591092533637726, 0.23056952854751664, 0.29335805179884866, 0.33287904623437053, 0.37191201775163757, 0.5264385160920637, 0.5892270393433957, 0.6024815462991542, 0.8342384468745415} Scale factor SCALE(Ninit):1.0353518430881692 Lowest energies (shifted and scaled):{0., 0.023751435512288532, 0.2226967866882733, 0.283341410707149, 0.3215129701623789, 0.35921317012613463, 0.5084633978356987, 0.5691080218545744, 0.5819099568144079, 0.8057535729943148} makeireducf GENERAL ireducTable: f[0]{} Loading module operators.m "operators.m started" d: A_d d ireducTable: d{} ireducTable: Chop[Expand[komutator[Hselfd /. params, d[#1, #2]]]] & {} operators.m done Loading module customoperators.m "customoperators $Id: customoperators.m,v 1.1 2015/11/09 12:23:54 rokzitko Exp rokzitko $" Customoperators done. Loading module modeloperators.m Can't load modeloperators.m. Continuing. -- maketable[] done -- Timing report {basis, 0.009302`4.420121328671471} {ham, 0.023003`4.035178222542202} {maketable, 0.342681`5.98643501906997} {xi, 0.361562`6.009727773547307} {_, 0} data gammaPol=0.1127894047133551 "Success!"