Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
复制标题
与无间隙玻色子耦合的一维伊辛量子临界点的命运
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
E. Altman
中科院分区：
文献类型：
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作者：
O. Alberton;J. Ruhman;E. Berg;E. Altman
量子伊辛自由度耦合到无隙玻色子模式的问题在许多一维系统中自然出现，但令人惊讶的是，很少有人知道这种耦合如何影响伊辛量子临界点。我们调查的命运的临界点在一个政权，弱耦合重整化群（RG）表示流向强耦合。使用重整化群分析和数值密度矩阵重整化群（DMRG）计算，我们表明，取决于无隙玻色子模式和伊辛临界波动的速度比，过渡可能保持连续或成为波动驱动的一阶。这两个政权被一个新类型的三临界点分开。
The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one-dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We investigate the fate of the critical point in a regime, where the weak coupling renormalization group (RG) indicates a flow toward strong coupling. Using a renormalization group analysis and numerical density matrix renormalization group (DMRG) calculations we show that, depending on the ratio of velocities of the gapless bosonic mode and the Ising critical fluctuations, the transition may remain continuous or become fluctuation-driven first order. The two regimes are separated by a tricritical point of a novel type.