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[求助] vasp 非共线计算 onsite density matrix 有4个自旋分量分别是指什么?

我用LDA+U 以及LNONCOLINEAR = .TRUE. outcar中 onsite density matrix 有四个自旋分量。共线的时候spin component只有 up(=1)down(=2)非共线的时候这四个量是什么含义求大神解释。  结果示例如下
------------------------------
atom =  15  type =  2  l = 2

onsite density matrix

spin component  1

  0.4801 -0.0005 -0.0350  0.0001 -0.0450      0.0000  0.0000  0.0000  0.0000  0.0000
-0.0005  0.5123 -0.0006 -0.0406 -0.0007      0.0000  0.0000  0.0000  0.0000  0.0000
-0.0350 -0.0006  0.4982  0.0002 -0.0324      0.0000  0.0000  0.0000  0.0000  0.0000
  0.0001 -0.0406  0.0002  0.4362  0.0002      0.0000  0.0000  0.0000  0.0000  0.0000
-0.0450 -0.0007 -0.0324  0.0002  0.4900      0.0000  0.0000  0.0000  0.0000  0.0000

spin component  2

-0.2676 -0.0003  0.1182  0.0000  0.1244      0.0976  0.0007 -0.0435  0.0000 -0.0456
-0.0003 -0.3364 -0.0003  0.1445  0.0001      0.0007  0.1229  0.0005 -0.0527 -0.0003
  0.1182 -0.0003 -0.3049  0.0003  0.1061     -0.0435  0.0005  0.1115 -0.0001 -0.0390
  0.0000  0.1445  0.0003 -0.0951  0.0011      0.0000 -0.0527 -0.0001  0.0348  0.0000
  0.1244  0.0001  0.1061  0.0011 -0.2918     -0.0456 -0.0003 -0.0390  0.0000  0.1064

spin component  3

-0.2676 -0.0003  0.1182  0.0000  0.1244     -0.0976 -0.0007  0.0435  0.0000  0.0456
-0.0003 -0.3364 -0.0003  0.1445  0.0001     -0.0007 -0.1229 -0.0005  0.0527  0.0003
  0.1182 -0.0003 -0.3049  0.0003  0.1061      0.0435 -0.0005 -0.1115  0.0001  0.0390
  0.0000  0.1445  0.0003 -0.0951  0.0011      0.0000  0.0527  0.0001 -0.0348  0.0000
  0.1244  0.0001  0.1061  0.0011 -0.2918      0.0456  0.0003  0.0390  0.0000 -0.1064

spin component  4

  0.4801 -0.0005 -0.0350  0.0001 -0.0450      0.0000  0.0000  0.0000  0.0000  0.0000
-0.0005  0.5123 -0.0006 -0.0406 -0.0007      0.0000  0.0000  0.0000  0.0000  0.0000
-0.0350 -0.0006  0.4982  0.0002 -0.0324      0.0000  0.0000  0.0000  0.0000  0.0000
  0.0001 -0.0406  0.0002  0.4362  0.0002      0.0000  0.0000  0.0000  0.0000  0.0000
-0.0450 -0.0007 -0.0324  0.0002  0.4900      0.0000  0.0000  0.0000  0.0000  0.0000

occupancies and eigenvectors

  o =  0.0923  v =  0.3786 -0.0153 -0.5768  0.0073  0.1539  0.3556 -0.0144 -0.5417  0.0069  0.1445      0.0000  0.0000  0.0002 -0.0001  0.0000  0.1300 -0.0053 -0.1982  0.0026  0.0529
  o =  0.0997  v = -0.1612  0.5769 -0.0594 -0.2788  0.2449 -0.1518  0.5426 -0.0560 -0.2622  0.2303      0.0000 -0.0018 -0.0002  0.0009 -0.0007 -0.0543  0.1959 -0.0198 -0.0947  0.0831
  o =  0.0998  v =  0.3745  0.2700  0.1009 -0.1276 -0.5103  0.3516  0.2533  0.0946 -0.1198 -0.4792      0.0000 -0.0003 -0.0002  0.0001 -0.0003  0.1290  0.0933  0.0349 -0.0441 -0.1755
  o =  0.3562  v =  0.4364 -0.0076  0.3919 -0.0046  0.3949  0.4112 -0.0076  0.3692 -0.0051  0.3721      0.0000 -0.0015 -0.0002 -0.0024  0.0000  0.1460 -0.0011  0.1313  0.0007  0.1321
  o =  0.3894  v = -0.0039 -0.2581 -0.0040 -0.5363 -0.0060 -0.0003 -0.1849 -0.0009 -0.3840 -0.0021      0.0000 -0.1655 -0.0006 -0.3439 -0.0017 -0.0039 -0.2447 -0.0040 -0.5083 -0.0059
  o =  0.4480  v =  0.0133  0.2929  0.0114  0.6365  0.0135 -0.0108 -0.2614 -0.0093 -0.5680 -0.0112      0.0000  0.0386  0.0001  0.0840  0.0002 -0.0077 -0.1377 -0.0065 -0.2993 -0.0076
  o =  0.4707  v = -0.4464  0.0088 -0.3707  0.0201 -0.4035  0.4206 -0.0089  0.3493 -0.0198  0.3803      0.0000  0.0019 -0.0001  0.0026  0.0000  0.1495 -0.0012  0.1240 -0.0043  0.1351
  o =  0.9565  v = -0.2599 -0.0228  0.6014  0.0108 -0.2649  0.2440  0.0214 -0.5647 -0.0102  0.2488      0.0000 -0.0002  0.0000  0.0001  0.0000  0.0893  0.0077 -0.2068 -0.0036  0.0910
  o =  0.9599  v = -0.1085  0.6282  0.0246 -0.2893  0.0966  0.1022 -0.5910 -0.0231  0.2722 -0.0910      0.0000 -0.0027 -0.0005  0.0012 -0.0002  0.0363 -0.2129 -0.0087  0.0980 -0.0325
  o =  0.9613  v =  0.4704  0.1323 -0.0142 -0.0597 -0.5074 -0.4417 -0.1241  0.0133  0.0560  0.4766      0.0000 -0.0004 -0.0001  0.0002 -0.0001 -0.1616 -0.0459  0.0048  0.0207  0.1743
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