...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical review >Effective Abelian theory from a non-Abelian topological order in the v - 2/5 fractional quantum Hall effect
【24h】

Effective Abelian theory from a non-Abelian topological order in the v - 2/5 fractional quantum Hall effect

机译：从V - 2/5分数级霍尔效应中的非雅中拓扑顺序有效的雅典理论

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Topological phases of matter are distinguished by topological invariants, such as Chern numbers and topological spins, that quantize their response to electromagnetic currents and changes of ambient geometry. Intriguingly, in the nu = 2/5 fractional quantum Hall effect, prominent theoretical approaches-the composite fermion theory and conformal field theory-have constructed two distinct states, the Jain composite fermion (CF) state and the Gaffnian state, for which many of the topological indices coincide and even the microscopic ground-state wave functions have high overlap with each other in system sizes accessible to numerics. At the same time, some aspects of these states are expected to be very different; e.g., their elementary excitations should have either Abelian (CF) or non-Abelian (Gaffnian) statistics. In this paper we investigate the close relationship between these two states by considering not only their ground states, but also the low-energy charged excitations. We show that the low-energy physics of both phases is spanned by the same type of quasielectrons of the neighboring Laughlin phase. The main difference between the two states arises due to an implicit assumption of short-range interaction in the CF approach, which causes a large splitting of the variational energies of the Gaffnian excitations. We thus propose that the Jain phase emerges as an effective Abelian low-energy description of the Gaffnian phase when the Hamiltonian is dominated by two-body interactions of sufficiently short range.
机译：物质的拓扑阶段通过拓扑不变的阶段，例如Chern数和拓扑旋转，这使得它们对电磁电流的响应和环境几何形状的变化量化。有趣的是，在Nu = 2/5分数量子霍尔效应中，突出的理论方法 - 复合码头理论和保形场理论 - 构成了两个不同的状态，耆那教费用（CF）状态和吉安州，其中许多拓扑指数均匀且甚至微观地面波函数在数字尺寸可访问的系统尺寸中具有高重叠。与此同时，这些国家的某些方面预计会非常不同;例如，他们的小学刺激应该具有阿比越（CF）或非阿比越（Gaffnian）统计数据。在本文中，我们通过考虑其基础态度，而且考虑到这两个国家之间的密切关系，也可以考虑到其基础态度，而且还考虑到低能量的带电激动。我们表明，两个阶段的低能量物理被相邻笑型阶段的相同类型的拟电元跨越。由于CF方法中的短距离相互作用的隐含假设，这两个州之间的主要区别产生了，这导致围绕鸟类激动的变分能的大分裂。因此，我们提出了jain阶段作为汉密尔顿人的双体相互作用所占主导地位时，jain阶段作为吉琴阶段的有效低能量描述。

著录项

  • 来源
    《Physical review》 |2019年第24期|245303.1-245303.11|共11页
  • 作者

    Yang Bo; Wu Ying-Hai; Papic Zlatko;

  • 作者单位

    Nanyang Technol Univ Div Phys & Appl Phys Singapore 637371 Singapore|ASTAR Inst High Performance Comp Singapore 138632 Singapore;

    Huazhong Univ Sci & Technol Sch Phys Wuhan 430074 Hubei Peoples R China|Huazhong Univ Sci & Technol Wuhan Natl High Magnet Field Ctr Wuhan 430074 Hubei Peoples R China;

    Univ Leeds Sch Phys & Astron Leeds LS2 9JT W Yorkshire England;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号