Analytic fermionic Green’s functions from holography
Analytic fermionic Green’s functions from holography
复制标题
DOI：
10.1103/physrevd.86.046004
复制
发表时间：
2012-04
影响因子：
5
通讯作者：
S. Gubser;Jie Ren
中科院分区：
文献类型：
--
作者：
S. Gubser;Jie Ren
我们找到了AdS_5中带电扩张黑洞背景下带电无质量费米子狄拉克方程的精确解析解。黑洞来自IIB型超重力，它描述了在与世界体积正交的三个独立旋转平面中的两个平面上具有相等角动量的d3膜。强耦合费米子系统在费米表面附近的格林函数可以从零频率非零动量狄拉克方程的精确解中全息地提取出来。可以有几个费米动量，它们的形式是k_F=q-n-1/2（以化学势为单位），其中q是旋量的电荷，n是标记费米曲面的非负整数。与基于Reissner-Nordstrom-AdS_5解的全息费米曲面一样，费米曲面附近激发的色散关系是由接近视界的几何形状决定的，根据k_F的值可以得到费米液体、边缘费米液体和非费米液体的行为。
We find exact, analytic solutions of the Dirac equation for a charged, massless fermion in the background of a charged, dilatonic black hole in AdS_5. The black hole descends from type IIB supergravity, where it describes D3-branes with equal angular momenta in two of the three independent planes of rotation orthogonal to the world-volume. The Green's function near the Fermi surface for a strongly coupled fermionic system can be extracted holographically from an exact solution of the Dirac equation at zero frequency but nonzero momentum. There can be several Fermi momenta, and they take the form k_F=q-n-1/2 (in units of the chemical potential), where q is the charge of the spinor, and n is a non-negative integer that labels the Fermi surfaces. Much as for holographic Fermi surfaces based on the Reissner-Nordstrom-AdS_5 solution, the dispersion relation of the excitations near the Fermi surface is determined by the geometry close to the horizon, and one can obtain Fermi liquid, marginal Fermi liquid, and non-Fermi liquid behaviors depending on the value of k_F.