Subdimensional criticality: Condensation of lineons and planons in the X-cube model

Lake, Ethan; Hermele, Michael

doi:10.1103/physrevb.104.165121

Subdimensional criticality: Condensation of lineons and planons in the X-cube model

Journal Article · Mon Oct 11 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.104.165121· OSTI ID:1924506

Lake, Ethan ^[1]; Hermele, Michael ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); University of Colorado Boulder
Univ. of Colorado, Boulder, CO (United States)

We study quantum phase transitions out of the fracton ordered phase of the Z_N X-cube model. These phase transitions occur when various types of subdimensional excitations and their composites are condensed. The condensed phases are either trivial paramagnets, or are built from stacks of D = 2 or 3 deconfined gauge theories, where D is the spatial dimension. Here, the nature of the phase transitions depends on the excitations being condensed. Upon condensing dipolar bound states of fractons or lineons, for N ≥ 4 we find stable critical points described by decoupled stacks of D = 2 conformal field theories. Upon condensing lineon excitations, when N > 4 we find a gapless phase intermediate between the X-cube and condensed phases, described as an array of D = 1 conformal field theories. In all these cases, effective subsystem symmetries arise from the mobility constraints on the excitations of the X-cube phase and play an important role in the analysis of the phase transitions.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0014415

OSTI ID:: 1924506

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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