4.3.17. Flct_rand.dat

(For the TPQ method) This file is outputted to show the calculation results of the fluctuation of the particle number, doublon, and $S_z$ for the TPQ method. In the restart calculation, the values are added to the previous file. An example of the file format is as follows.

 # inv_temp, N, N^2, D, D^2, Sz, Sz^2, step_i
0.0826564 12.00 144.00 0.00 0.00 0.0009345626081113 0.2500 1
0.1639935 12.00 144.00 0.00 0.00 0.0023147006319775 0.2500 2
0.2440168 12.00 144.00 0.00 0.00 0.0037424057659867 0.2500 3
...
135.97669 12.00 144.00 0.00 0.00 -0.0000000000167368 0.2500 1998
136.04474 12.00 144.00 0.00 0.00 -0.0000000000165344 0.2500 1999

File name

• Flct_rand??.dat

?? indicates the number of runs in the calculation of the TPQ method.

File format

• Line 1: Header

• Lines 2-: [double01] [double02] [double03] [double04] [double05] [double06] [double07] [int01].

Parameters

• [double01]

  Type : Double

  Description : Inverse temperature $1/k_{\mathrm{B}}T$.

• [double02]

  Type : Double

  Description : A total particle number $\sum _i⟨n_i⟩$.

• [double03]

  Type : Double

  Description : The expected value of the square of the particle number $⟨(\sum _i{n}_i{)}^2⟩$.

• [double04]

  Type : Double

  Description : The expected value of doublon $\frac{1}{N_s}\sum _i⟨n_{i\uparrow }{n}_{i\downarrow }⟩$ ($N_s$ is the total number of sites).

• [double05]

  Type : Double

  Description : The expected value of the square of doublon $\frac{1}{N_s}⟨(\sum _i{n}_{i\uparrow }{n}_{i\downarrow }{)}^2⟩$ ($N_s$ is the total number of sites).

• [double06]

  Type : Double

  Description : The expected value of $S_z$, $\frac{1}{N_s}\sum _i⟨S_i^z⟩$ ($N_s$ is the total number of sites).

• [double07]

  Type : Double

  Description : The expected value of the square of $S_z$, $\frac{1}{N_s}⟨(\sum _i{S}_i^z{)}^2⟩$ ($N_s$ is the total number of sites).

• [int01]

  Type : Int

  Description : The number of operations of $(l-\mathcal{H}/N_s)$ for an initial wave function, where $l$ is LargeValue defined in a ModPara file and $N_s$ is the total number of sites.