# Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point

@article{Huang2019EmergentSA,
title={Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point},
author={Rui-Zhen Huang and D. Lu and Yi-Zhuang You and Zi Yang Meng and Tao Xiang},
journal={Physical Review B},
year={2019}
}
The deconfined quantum critical point (DQCP) was originally proposed as a continuous transition between two spontaneous symmetry breaking phases in 2D spin-1/2 systems. While great efforts have been spent on the DQCP for 2D systems, both theoretically and numerically, ambiguities among the nature of the transition are still not completely clarified. Here we shift the focus to a recently proposed 1D incarnation of DQCP in a spin-1/2 chain. By solving it with the variational matrix product state… Expand
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#### References

SHOWING 1-10 OF 79 REFERENCES
Deconfined quantum critical points: symmetries and dualities
• Physics
• 2017
The deconfined quantum critical point (QCP), separating the Neel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of ð2 þ 1ÞD criticality fundamentally different fromExpand
Deconfined quantum critical point in one dimension
• Physics
• Physical Review B
• 2019
We perform a numerical study of a spin-1/2 model with $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensionalExpand
Role of Noether's Theorem at the Deconfined Quantum Critical Point.
• Physics, Medicine
• Physical review letters
• 2019
This study demonstrates an elegant yet practical approach to detect emergent symmetry by probing the spin excitation, which could potentially guide the ongoing experimental search for the DQCP in quantum magnets. Expand
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Physics
• 2004
We present the critical theory of a number of zero-temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is theExpand
Scaling dimensions of higher-charge monopoles at deconfined critical points
• Physics
• 2015
The classical cubic dimer model has a columnar ordering transition that is continuous and described by a critical Anderson–Higgs theory containing an SU(2)-symmetric complex field minimally coupledExpand
Intrinsic and emergent anomalies at deconfined critical points
• Physics
• Physical Review B
• 2018
It is well known that theorems of Lieb-Schultz-Mattis type prohibit the existence of a trivial symmetric gapped ground state in certain systems possessing a combination of internal and latticeExpand
Emergent SO(5) Symmetry at the Néel to Valence-Bond-Solid Transition.
• Physics, Medicine
• Physical review letters
• 2015
We show numerically that the "deconfined" quantum critical point between the Néel antiferromagnet and the columnar valence-bond solid, for a square lattice of spin 1/2, has an emergent SO(5)Expand
Duality between the deconfined quantum-critical point and the bosonic topological transition
Recently significant progress has been made in $(2+1)$-dimensional conformal field theories without supersymmetry. In particular, it was realized that different Lagrangians may be related by hiddenExpand
Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry.
• Physics, Medicine
• Physical review letters
• 2017
A model of Dirac fermions in 2+1 dimensions with dynamically generated, anticommuting SO(3) Néel and Z_{2} Kekulé mass terms that permits sign-free quantum Monte Carlo simulations is considered and provides a new framework to study exotic critical phenomena. Expand
Dynamical signature of fractionalization at a deconfined quantum critical point
Author(s): Ma, N; Sun, GY; You, YZ; Xu, C; Vishwanath, A; Sandvik, AW; Meng, ZY | Abstract: © 2018 American Physical Society. Deconfined quantum critical points govern continuous quantum phaseExpand