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We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase…

量子物理 · 物理学 2008-06-07 A. Hamma , W. Zhang , S. Haas , D. A. Lidar

Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a unique playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the…

强关联电子 · 物理学 2021-04-28 Zheng Yan , Yan-Cheng Wang , Nvsen Ma , Yang Qi , Zi Yang Meng

In tensor network representation, the partition function of a generalized two-dimensional XY spin model with topological integer and half-integer vortex excitations is mapped to a tensor product of one-dimensional quantum transfer operator,…

强关联电子 · 物理学 2021-01-27 Feng-Feng Song , Guang-Ming Zhang

We study a continuous quantum phase transition that breaks a $Z_2$ symmetry. We show that the transition is described by a new critical point which does not belong to the Ising universality class, despite the presence of well defined…

强关联电子 · 物理学 2011-07-19 Ying Ran , Xiao-gang Wen

The $\mathbb{Z}_2$ topological phase in the quantum dimer model on the Kagom\'e-lattice is a candidate for the description of the low-energy physics of the anti-ferromagnetic Heisenberg model on the same lattice. We study the extend of the…

强关联电子 · 物理学 2017-12-20 Marc D. Schulz

We consider a family of generalized Rokhsar-Kivelson (RK) Hamiltonians, which are reverse-engineered to have an arbitrary edge-weighted superposition of dimer coverings as their exact ground state at the RK point. We focus on a quantum…

强关联电子 · 物理学 2026-03-17 Laura Shou , Jeet Shah , Matthew Lerner-Brecher , Amol Aggarwal , Alexei Borodin , Victor Galitski

We study the quantum phase transition between the $Z_2$ spin liquid and valence bond solid (VBS) orders on a triangular lattice. With a fully isotropic triangular lattice, the transition from a columnar or resonating-plaquette VBS order can…

强关联电子 · 物理学 2015-06-16 Kevin Slagle , Cenke Xu

We show that the liquid-to-crystal quantum phase transition in the Rokhsar--Kivelson dimer model on the two-dimensional triangular lattice occurs as a condensation of vortex-like excitations called ``visons''. This conclusion is drawn from…

强关联电子 · 物理学 2007-10-25 Arnaud Ralko , Michel Ferrero , Federico Becca , Dmitri Ivanov , Frederic Mila

We present an example for the phase transition between a topological non-trivial solid phase and a trivial solid phase in the quantum dimer model(QDM) on triangular lattice. Such a transition is beyond the Landau's paradigm of phase…

强关联电子 · 物理学 2018-07-10 Jianhua Yang , Tao Li

We study the zero-temperature phase diagram and fractional excitation when a thin film of 3D topological insulator has two competing masses: T- symmetric exciton condensation and T- breaking Zeeman effect. Two topologically distinct phases…

强关联电子 · 物理学 2013-05-29 Gil Young Cho , Joel E. Moore

We present a combined experimental and theoretical investigation of the formation and decay kinetics of vortices in two dimensional, compressible quantum turbulence. We follow the temporal evolution of a quantum fluid of exciton polaritons,…

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

The two-component cold atom systems with anisotropic hopping amplitudes can be phenomenologically described by a two-dimensional Ising-XY coupled model with spatial anisotropy. At low temperatures, theoretical predictions [Phys. Rev. A 72,…

量子气体 · 物理学 2024-05-21 Heyang Ma , Wanzhou Zhang , Yanting Tian , Chengxiang Ding , Youjin Deng

The celebrated work of Berezinskii, Kosterlitz and Thouless in the 1970s revealed exotic phases of matter governed by topological properties of low-dimensional materials such as thin films of superfluids and superconductors. Key to this…

We show that a wide class of unconventional quantum criticality emerges when orbital currents cause quantum phase transitions from zero-gap semiconductors such as Dirac fermions to topological insulator (TI) or Chern insulator (CI). Changes…

强关联电子 · 物理学 2015-03-19 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

The Landau paradigm of classifying phases by broken symmetries was demonstrated to be incomplete when it was realized that different quantum Hall states could only be distinguished by more subtle, topological properties. Today, the role of…

强关联电子 · 物理学 2015-03-18 Sergei V. Isakov , Matthew B. Hastings , Roger G. Melko

We propose an unconventional topological quantum phase transition connecting a higher-order topological insulator (HOTI) and a featureless Mott insulator sharing the same symmetry patterns. We construct an effective theory description of…

强关联电子 · 物理学 2021-01-13 Yizhi You , Julian Bibo , Taylor L. Hughes , Frank Pollmann

Topological qubits based on $SU(N)$-symmetric valence-bond solid models are constructed. A logical topological qubit is the ground subspace with two-fold degeneracy, which is due to the spontaneous breaking of a global parity symmetry. A…

量子物理 · 物理学 2018-05-28 Dong-Sheng Wang , Ian Affleck , Robert Raussendorf

Z2 spin liquids have topological order. One manifestation of this is that a Z2 spin liquid on a torus exhibits a four-fold degeneracy. Recent numerical evidence has argued for the existence of a spin liquid ground state in the Hubbard model…

强关联电子 · 物理学 2013-05-03 Bryan K. Clark

Quantum information theory and strongly correlated electron systems share a common theme of macroscopic quantum entanglement. In both topological error correction codes and theories of quantum materials (spin liquid, heavy fermion and…

强关联电子 · 物理学 2022-10-11 Elio J. König , Piers Coleman , Alexei M. Tsvelik