具有多重自旋交换作用的三角格子$t$模型中的自旋和密度激发:石墨上的$^3$ He
Spin and density excitations in the triangular-lattice $t$-$J$ model with multiple-spin exchange interactions: $^3$He on graphite
摘要:
使用精确对角化技术的小集团,我们研究的三角晶格$t$ - $J$模型的自旋和密度激发与多自旋交换相互作用,从而我们认为观察到的异常性质的掺杂莫特区域的二维液体$^3$他吸附在石墨表面上。我们发现比热随温度的变化呈现出与实验一致的双峰结构,低温尖峰来自自旋激发,反映了自旋自由度的阻挫性质,高温宽峰来自整个能带宽度上的密度激发.在计算的自旋和密度激发谱中,它们的能量标度明显分离。计算的单粒子激发谱表明存在由自旋激发打扮的费米准粒子,具有与实验一致的增强的有效质量。
英文摘要:
Using an exact diagonalization technique on small clusters, we study spin and density excitations of the triangular-lattice $t$-$J$ model with multiple-spin exchange interactions, whereby we consider anomalous properties observed in the doped Mott region of the two-dimensional liquid $^3$He adsorbed on a graphite surface. We find that the double-peak structure consistent with experiment appears in the calculated temperature dependence of the specific heat; the low-temperature sharp peak comes from the spin excitations reflecting the frustrated nature of the spin degrees of freedom and high-temperature broad peak comes from the density excitations extending over the entire band width. The clear separation in their energy scales is evident in the calculated spin and density excitation spectra. The calculated single-particle excitation spectra suggest the presence of fermionic quasiparticles dressed by the spin excitations, with an enhanced effective mass consistent with experiment.
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