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yomichi avatar yomichi commented on September 25, 2024

ちなみに横磁場イジング Jxy=0.0 で横磁場 Gamma を大きくしても2つ出てきます。

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tmisawa avatar tmisawa commented on September 25, 2024

@yomichi
これはLanczos法の不安定性に起因する
ものだと考えられます。

HPhiに次のバージョンで組み込む予定の
LOBCG法を用いるとこの問題は回避できるようです。
リリースし次第、ご連絡いたしますので、
それまでお待ちください。

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k-yoshimi avatar k-yoshimi commented on September 25, 2024

@yomichi
ver.2.0でLOBCG法を実装しましたのでご確認ください。
ご指摘ありがとうございました。

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tmisawa avatar tmisawa commented on September 25, 2024

一応、例をあげておきます。
LOBCG法を使うことで正常に計算できます。

model = "SpinGC"
lattice = "chain lattice"
method = "CG"
2S = 1
L = 12
J = 1.0
h = 10.0
exct   = 4
######  End  : Calculate Lanczos EigenVec.  ######

i=    0 Energy=-57.000000 N= 12.000000 Sz=  0.000000 S2=  0.000000 Doublon=  0.000000 
i=    1 Energy=-49.000000 N= 12.000000 Sz=  0.000000 S2=  0.000000 Doublon=  0.000000 
i=    2 Energy=-48.866025 N= 12.000000 Sz=  0.000000 S2=  0.000000 Doublon=  0.000000 
i=    3 Energy=-48.866025 N= 12.000000 Sz=  0.000000 S2=  0.000000 Doublon=  0.000000 

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