在相互作用的电子链中的拓状态
Igor N Karnaukhov1,2, E E Krasovskii3,4,5
1G.V. Kurdyumov Institute for Metal Physics, National Academy of Sciences of Ukraine, 36 Vernadsky Boulevard, 03142, Kiev, Ukraine. karnaui@yahoo.com.
Scientific reports
|December 26, 2025
概括
本研究使用一维模型探索相互作用电子的基本状态. 它揭示了拓阶段和莫特绝缘器阶段,Majorana边缘函数表示拓性质.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子力学就是量子力学.
- 材料科学 材料科学 材料科学
背景情况:
- 了解相互作用电子系统的基本状态在凝聚物质物理学中至关重要.
- 物质的拓相表现出由拓保护的独特属性.
- 电子液体和Mott绝缘体是研究量子现象的关键系统.
研究的目的:
- 为了研究相互作用电子的一维模型的基本状态相图.
- 在有限链中计算零能量的Majorana边缘函数.
- 分析电子液体的拓性质,使用绕数不变量.
主要方法:
- 一维相互作用电子模型的精确解决方案.
- 计算基本状态相位图的计算.
- 确定零能量的Majorana边缘函数.
- 分析卷积数不变的分析.
主要成果:
- 确定了两个具有明显绕数不变的拓相.
- 标志着一个拓上微不足道的Mott绝缘器阶段.
- 发现了三个关键阶段过渡点.
- 通过数值计算确认分析结果.
结论:
- 一维模型为电子液体中的拓相提供了洞察力.
- 卷轴数不变量是拓性质的有效指标.
- 该研究描绘了电子液体系统中不同的阶段和过渡.
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