Boundary modes in the Chamon model

被引:7
作者
Fontana, Weslei B. [1 ]
Pereira, Rodrigo G. [1 ,2 ]
机构
[1] Univ Fed Rio Grande do Norte, Int Inst Phys, BR-59078400 Natal, RN, Brazil
[2] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59072970 Natal, RN, Brazil
关键词
QUANTUM; STATES;
D O I
10.21468/SciPostPhys.15.1.010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the fracton phase described by the Chamon model in a manifold with a boundary. The new processess and excitations emerging at the boundary can be understood by means of a diagrammatic framework. From a continuum perspective, the boundary theory is described by a set of scalar fields in similarity with standard K-matrix ChernSimons theory. The continuum theory recovers the gapped boundaries of the lattice model once we include sufficiently strong interactions that break charge conservation. The analysis of the perturbative relevance of the leading interactions reveals a regime in which the Chamon model can have a stable gapless fractonic phase at its boundary.
引用
收藏
页数:27
相关论文
共 66 条
[1]   Topological defect networks for fractons of all types [J].
Aasen, David ;
Bulmash, Daniel ;
Prem, Abhinav ;
Slagle, Kevin ;
Williamson, Dominic J. .
PHYSICAL REVIEW RESEARCH, 2020, 2 (04)
[2]   Topological order and conformal quantum critical points [J].
Ardonne, E ;
Fendley, P ;
Fradkin, E .
ANNALS OF PHYSICS, 2004, 310 (02) :493-551
[3]  
Arouca R., 2022, SciPost Physics Lecture Notes, V62, DOI DOI 10.21468/SCIPOSTPHYSLECTNOTES.62
[4]  
Bravyi SB, 1998, Arxiv, DOI [arXiv:quant-ph/9811052, 10.48550/ARXIV.QUANT-PH/9811052, DOI 10.48550/ARXIV.QUANT-PH/9811052]
[5]   Classification of topological defects in Abelian topological states [J].
Barkeshli, Maissam ;
Jian, Chao-Ming ;
Qi, Xiao-Liang .
PHYSICAL REVIEW B, 2013, 88 (24)
[6]   EFFECTIVE THEORIES OF THE FRACTIONAL QUANTUM HALL-EFFECT AT GENERIC FILLING FRACTIONS [J].
BLOK, B ;
WEN, XG .
PHYSICAL REVIEW B, 1990, 42 (13) :8133-8144
[7]   Topological order in an exactly solvable 3D spin model [J].
Bravyi, Sergey ;
Leemhuis, Bernhard ;
Terhal, Barbara M. .
ANNALS OF PHYSICS, 2011, 326 (04) :839-866
[8]   Braiding and gapped boundaries in fracton topological phases [J].
Bulmash, Daniel ;
Iadecola, Thomas .
PHYSICAL REVIEW B, 2019, 99 (12)
[9]   Topological quantum glassiness [J].
Castelnovo, Claudio ;
Chamon, Claudio .
PHILOSOPHICAL MAGAZINE, 2012, 92 (1-3) :304-323
[10]   Quantum mechanical and information theoretic view on classical glass transitions [J].
Castelnovo, Claudio ;
Chamon, Claudio ;
Sherrington, David .
PHYSICAL REVIEW B, 2010, 81 (18)