Disordered holographic systems: Functional renormalization

被引:10
作者
Adams, Allan [1 ]
Yaida, Sho [2 ]
机构
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
来源
PHYSICAL REVIEW D | 2015年 / 92卷 / 12期
关键词
CONDUCTIVITY; DIFFUSION; ABSENCE;
D O I
10.1103/PhysRevD.92.126008
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study quenched disorder in strongly correlated systems via holography, focusing on the thermodynamic effects of mild electric disorder. Disorder is introduced through a random potential which is assumed to self-average on macroscopic scales. Studying the flow of this distribution with energy scale leads us to develop a holographic functional renormalization scheme. We test this scheme by computing thermodynamic quantities and confirming that the Harris criterion for relevance, irrelevance, or marginality of quenched disorder holds.
引用
收藏
页数:10
相关论文
共 31 条
[1]   SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].
ABRAHAMS, E ;
ANDERSON, PW ;
LICCIARDELLO, DC ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676
[2]   Disordered holographic systems: Marginal relevance of imperfection [J].
Adams, Allan ;
Yaida, Sho .
PHYSICAL REVIEW D, 2014, 90 (04)
[3]   HOPPING CONDUCTIVITY IN DISORDERED SYSTEMS [J].
AMBEGAOKAR, V ;
HALPERIN, BI ;
LANGER, JS .
PHYSICAL REVIEW B-SOLID STATE, 1971, 4 (08) :2612-+
[4]  
Anderson P. W., 1970, Comments on Solid State Physics, V2, P193
[5]   ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1958, 109 (05) :1492-1505
[6]  
[Anonymous], ARXIVHEPTH0112258
[7]  
Basko D. M., ARXIVCONDMAT0602510
[8]   Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states [J].
Basko, DM ;
Aleiner, IL ;
Altshuler, BL .
ANNALS OF PHYSICS, 2006, 321 (05) :1126-1205
[9]   THE ANDERSON-MOTT TRANSITION [J].
BELITZ, D ;
KIRKPATRICK, TR .
REVIEWS OF MODERN PHYSICS, 1994, 66 (02) :261-390
[10]   SPIN-GLASSES - EXPERIMENTAL FACTS, THEORETICAL CONCEPTS, AND OPEN QUESTIONS [J].
BINDER, K ;
YOUNG, AP .
REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :801-976