Numerical studies of a 36-site kagome antiferromagnet
نویسندگان
چکیده
The ground-state wave function for the spin-2 quantum antiferromagnet on a 36-site kagome structure is found by numerical diagonalization. Spin-spin correlations and spin gaps indicate that the ground state of this system does not possess magnetic order. The spin-Peierls order is studied using a four-spin correlation function. The short-range structure in this correlation function is found to be consistent with a simple dimer-liquid model. The spin-Peierls order, if it exists, must be quite small.
منابع مشابه
Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near-neighbor interactions do not order magnetically or break lattice symmetries even at temperatures much lower than the exchange interaction strength. Moreover, there appears to be a plethora of low-energy excitations, predominantl...
متن کاملStriped spin liquid crystal ground state instability of kagome antiferromagnets.
The Dirac spin liquid ground state of the spin 1/2 Heisenberg kagome antiferromagnet has potential instabilities. This has been suggested as the reason why it does not emerge as the ground state in large-scale numerical calculations. However, previous attempts to observe these instabilities have failed. We report on the discovery of a projected BCS state with lower energy than the projected Dir...
متن کاملNovel Field Induced Quantum Phase Transition of the Kagome Lattice Antiferromagnet
The S = 1/2 kagomelattice antiferromagnet is investigated by the numerical diagonalization. We successfully obtained the ground-state full magnetization curve for the 42-spin cluster. Based on the finite-size scaling alnalysis including this new result, we consider the quatnum critical magnetization behavior around the 1/3 of the saturation magnetization. As a result, some unconventional featur...
متن کاملQuantum Phase Transitions in d-wave Superconductors and Antiferromagnetic Kagome Lattices
Strongly correlated systems are of interest due to their exotic collective behavior. In this thesis we study low energy effective theory and quantum phase transitions of d-wave superconductors and spin liquids. First we examine the quantum theory of the spontaneous breaking of lattice rotation symmetry in d-wave superconductors on the square lattice. This is described by a field theory of an Is...
متن کاملQuantum phase transition induced by Dzyaloshinskii-Moriya interactions in the kagome antiferromagnet
We argue that the S=1 /2 kagome antiferromagnet undergoes a quantum phase transition when the Dzyaloshinskii-Moriya coupling is increased. For D Dc the system is in a moment-free phase, and for D Dc the system develops antiferromagnetic long-range order. The quantum critical point is found to be Dc 0.1J using exact diagonalizations and finite-size scaling. This suggests that the kagome compound...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011