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Quantum disorder and local modes of the fully-frustrated transverse field Ising model on a diamond chain

机译：金刚石链上完全受挫横向场伊辛模型的量子无序和局域模

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We investigate the transverse field Ising model on a diamond chain using series expansions about the high-field limit and exact diagonalizations. For the unfrustrated case we accurately determine the quantum critical point and its expected 2d Ising universality separating the polarized and the Z_2 symmetry broken phase. In contrast, we find strong evidence for a disorder by disorder scenario for the fully-frustrated transverse field Ising model, i.e., except for the pure Ising model, having an extensive number of ground states, the system is always in a quantum disordered polarized phase. The low-energy excitations in this polarized phase are understood in terms of exact local modes of the model. Furthermore, an effective low-energy description for an infinitesimal transverse field allows us to pinpoint the quantum disordered nature of the ground state via mapping to an effective transverse field Ising chain and to determine the induced gap to the elementary effective domain wall excitation very accurately.
机译：我们使用关于高场极限和精确对角线化的级数展开研究钻石链上的横向场Ising模型。对于未受挫的情况，我们准确地确定了量子临界点及其预期的2d Ising通用性，它将极化和Z_2对称断裂相分开。相反，对于完全受挫的横向场Ising模型，我们发现了一个由无序情况发生的有力证据，即，除了具有大量基态的纯Ising模型之外，该系统始终处于量子无序极化相。根据模型的精确局部模式，可以了解此极化阶段中的低能激发。此外，对无限小横向场的有效低能描述使我们能够通过映射到有效横向场Ising链来查明基态的量子无序性质，并非常精确地确定与基本有效畴壁激发的感应间隙。

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