Erratum: Single-particle excitations in a quantum ... - APS Link Manager

PHYSICAL REVIEW B

VOLUME 45, NUMBER 9

1

MARCH 1992-I

Errata

Erratum: Single-particle excitations in a quantum antiferromagnet [Phys. Rev. B 41, 2017 (1990)]

K. J. von

Szczepanski, P. Horsch, W. Stephan, and M. Ziegler

We note a typing mistake in Eq. (3) of our paper. The second term, proportional to t IU, must have a negative sign, corresponding to Eq. (4). Because of a numerical error in one of our computer programs, wrong values for all E~& ~ and two wrong values of E', were given in Table II of the paper. E', (E', ) is the total energy of the lowest state for one hole in the t Jm-odel (t-J model, i.e., the t-J model with three-site terms) on a ten-site lattice in two dimensions. The correct table follows.

TABLE II. Total energy of the ground state for the t-J, t-J, and Hubbard model on a ten-site lattice in two dimensions for all momenta. E0 is the energy for half filling, El for one hole in the half-filled band. The value of total spin S in (S~) =S(S+1)is given in brackets. The parameters J and Uare connected via J =4t~/U.

nonequivalent

(0,0)

Et-J 0

E0 E

Hub 1

Et-J 1

EHub 1

Et-J 0

E0

Hub

Et-J 1

Et-J 1

EHub 1

/5, 4m/5)

(3m/5, m/5)

(2m

—6.1500 (0) —5. 1041 (0) —6.1898 (-') —6.3206 (2 } —6.0669 (-', )

J/t =0.5 U/t =8 —4.7381 (1) —4. 1980 (1) —6.8930 ( — ') —7.1920 (-') —6.5679 (1)

—4.7500 (1) —4. 1227 (1) —6.7807 (2) —7.0970 (2) —6.3097 (2)

—5.7321 (1) —4.8633 {1) —6.1885 ( 2) —6.3554 (2) —5.7947 ( —)

—2.4600 (0} —2.3517 (0) —4.2514 ( —) —4.3354 ( —) —4.3129 (-,')

—1.8952 (1) —1.8439 (1) —4.3420 (-,' ) —4.4835 (-,') —4.4490 ( — ')

—1.9000 (1) —1.8449 (1) —4.3528 (2) —4.4735 (2) —4.3978 (2)

—2.2928 (1) —2.2123 (1) —4.3190 (-,') —4.3892 (2) —4.3362 (2)

J/t =0.2

U/t =20

The energy of the t-J model (i.e., including the three-site terms) is always lower than the corresponding one hole in the Hubbard model, consistent with the one-dimensional case depicted in Fig. 4 of our paper. The errors do not affect any further considerations of the paper, nor do they alter the conclusions drawn.

energy of

1992 The American Physical Society

antiferromagnets Erratum: Bose condensation in quasi-one-dimensional [Phys. Rev. B 43, 3215 (1991)]

in strong fields

lan AfBeck

(1) Equation (27) should read )ty(O) ) (2) Some

(8(x)g(0))i2

qln[x~

of these results were obtained earlier by H. J. Schulz in Phys. Rev. B 34, 6372 (1986). 45

5118

1992

The American Physical Society