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arXiv 2402.04657hep-thcond-mat.str-elnucl-th
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全息手征相变中的畴壁与手征边缘流

A domain wall and chiral edge currents in holographic chiral phase transitions

Shuta Ishigaki, Masataka Matsumoto, Ryosuke Yoshii

AI总结:

本文在D3/D7全息模型中数值发现手征相变中的畴壁解,伴随空间调制的电荷密度产生手征边缘流,结果与金兹堡-朗道理论在相变点附近吻合。

摘要:

我们在一个自上而下的全息模型——D3/D7模型中研究了空间非均匀解。该模型在有限外磁场、化学势和温度下提供了手征相变的全息描述。我们在三维空间中数值上找到了一个畴壁(或扭结)解,该解在均匀源下,介于空间无穷远处的手征对称破缺相之间。伴随着手征凝聚的非均匀性,电荷密度也发生空间调制。调制的电荷密度和有限磁场导致了靠近畴壁的手征边缘流。我们探究了这些轮廓在一级和二级相变点附近对化学势和温度的依赖性。我们的结果表明,我们发现的非均匀解与在相变点附近由金兹堡-朗道理论得到的解非常吻合。

英文摘要:

We investigate spatially inhomogeneous solutions in a top-down holographic model: the D3/D7 model which provides a holographic description of the chiral phase transition for a finite external magnetic field, chemical potential, and temperature. We numerically find a domain wall (or kink) solution in the three dimensional space, which incorporates between the chiral symmetry broken phase at the spatial infinity, under the homogeneous sources. Along with the inhomogeneity of the chiral condensate, the charge density is also spatially modulated. The modulated charge density and finite magnetic field lead to the chiral edge current close to the domain wall. We explore the dependences of those profiles on the chemical potential and temperature near the first and second order phase transition points. Our results indicate that the inhomogeneous solutions we found are in good agreement with those obtained by the Ginzburg--Landau theory in the vicinity of the transition points.

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