Equivalence of the resonating-valence-bond and fractional quantum Hall states

V Kalmeyer, RB Laughlin - Physical review letters, 1987 - APS
We present evidence that the ground state of the frustrated Heisenberg antiferromagnet in
two dimensions is well described by a fractional quantum Hall wave function for bosons …

Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model

M Ogata, H Shiba - Physical Review B, 1990 - APS
The momentum distribution function n (k) and spin-correlation function S (k) are determined
for the one-dimensional large-U Hubbard model with various electron densities. The present …

Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice

B Bernu, P Lecheminant, C Lhuillier, L Pierre - Physical Review B, 1994 - APS
Exact spectra of periodic samples are computed up to N= 36. Evidence of an extensive set of
low-lying levels, lower than the softest magnons, is exhibited. These low-lying quantum …

Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices

B Bernu, C Lhuillier, L Pierre - Physical review letters, 1992 - APS
We show how the broken symmetries of the Néel state are embodied in the exact spectrum
of the triangular Heisenberg antiferromagnet on finite lattices as small as N= 21 (spectra up …

Symmetry-adapted variational quantum eigensolver

K Seki, T Shirakawa, S Yunoki - Physical Review A, 2020 - APS
We propose a scheme to restore spatial symmetry of Hamiltonian in the variational-quantum-
eigensolver (VQE) algorithm for which the quantum circuit structures used usually break the …

Spin-wave results for the triangular Heisenberg antiferromagnet

T Jolicoeur, JC Le Guillou - Physical Review B, 1989 - APS
We perform the standard spin-wave analysis of the triangluar Heisenberg quantum
antiferromagnet. Contrary to the variational calculation of Anderson, we diagonalize exactly …

Theory of the spin liquid state of the Heisenberg antiferromagnet

V Kalmeyer, RB Laughlin - Physical Review B, 1989 - APS
We propose that the disordered state of a two-dimensional spin-1/2 Heisenberg
antiferromagnet is physically equivalent to the incompressible liquid state of the fractional …

Ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with competing interactions

T Tonegawa, I Harada - Journal of the Physical Society of Japan, 1987 - journals.jps.jp
The ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg
antiferromagnet with antiferromagnetic first-and second-neighbor exchange interactions are …

Magnetic states and phase transitions in frustrated triangular-lattice antiferromagnets

RS Gekht - Soviet Physics Uspekhi, 1989 - iopscience.iop.org
Recent experimental and theoretical investigations of frustrated triangular-lattice
antiferromagnets are reviewed. An analysis is made of phases with different structures …

Magnetic properties of Ising-like Heisenberg antiferromagnets on the triangular lattice

S Miyashita - Journal of the Physical Society of Japan, 1986 - jstage.jst.go.jp
抄録 Magnetic properties of Ising-like Heisenberg antiferromagnets on the triangular lattice
are studied. In particular, the magnetization curve, M z (H z), and phase diagrams in …