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The topological defects of Spin($n+1$) nematics in two spatial dimensions, known as disclinations, are characterized by the $\pi_1(\mathbb{R}P^n) = \textrm{Z}_2$ homotopy group for $n\ge2$. We argue that incompressible quantum liquids of…

强关联电子 · 物理学 2024-12-18 Predrag Nikolić

We explore the nature of the quantum phase transition between a magnetically ordered state with collinear spin pattern and a gapless $Z_2$ spin liquid in the Heisenberg-Kitaev model. We construct a slave particle mean field theory for the…

强关联电子 · 物理学 2013-05-30 Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

Motivated by recent numerical discovery of a gapped spin liquid phase in spin-$1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model, we classify symmetric $Z_2$ spin liquids on triangular lattice in the Abrikosov-fermion representation. We…

强关联电子 · 物理学 2016-04-14 Yuan-Ming Lu

The $\nu$-component two-dimensional (2D) Bose liquid is considered. It is shown that the finite temperature phase transition exists in this 2D continuously degenerate multicomponent system. The new type of quasi-long-range order occurs as a…

统计力学 · 物理学 2007-05-23 I. V. Tokatly

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one…

量子气体 · 物理学 2019-05-21 William S. Cole , Junhyun Lee , Khan W. Mahmud , Yahya Alavirad , I. B. Spielman , Jay D. Sau

ZnCr2O4 undergoes a first order spin-Peierls-like phase transition at 12.5 K from a cubic spin liquid phase to a tetragonal Neel state. Using powder diffraction and single crystal polarized neutron scattering, we determined the complex spin…

强关联电子 · 物理学 2009-11-13 S. -H. Lee , W. Ratcliff , Q. Huang , T. H. Kim , S-W. Cheong

We show that laser assisted hopping of hard core bosons in a square optical lattice can be described by an antiferromagnetic $J_{1}$-$J_{2}$ XY model with tunable ratio of $J_{2}/J_{1}$. We numerically investigate the phase diagram of the…

量子气体 · 物理学 2015-06-04 Y. -H. Chan , L. -M. Duan

A quantum phase transition is typically induced by tuning an external parameter that appears as a coupling constant in the Hamiltonian. Another route is to vary the global symmetry of the system, generalizing, e.g., SU(2) to SU(N). In that…

强关联电子 · 物理学 2009-12-14 K. S. D. Beach , Fabien Alet , Matthieu Mambrini , Sylvain Capponi

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two…

强关联电子 · 物理学 2018-11-29 Shintaro Takayoshi , Shunsuke C. Furuya , Thierry Giamarchi

We consider the O(4) symmetric point in the phase diagram of an electron system in which there is a transition between d_{x^2 - y^2} density-wave order and d_{x^2 - y^2} superconductivity. If the pseudospin $SU(2)\subset O(4)$ symmetry is…

强关联电子 · 物理学 2009-10-31 Chetan Nayak

Since strong quantum fluctuations are essential for the emergence of quantum spin liquids, there have been extensive exploration and identification of spin liquid candidates in spin-$1/2$ systems, while such activities are rare in higher…

强关联电子 · 物理学 2023-07-26 Wei-Wei Luo , Yixuan Huang , D. N. Sheng , W. Zhu

The layered spiral magnet Cs2CuCl4 displays several interesting properties that have been suggested as evidence of proximity to a two dimensional quantum spin liquid. In this paper we study a concrete version of this proposal and suggest…

强关联电子 · 物理学 2009-11-11 S. V. Isakov , T. Senthil , Yong Baek Kim

We argue that near a Kondo breakdown critical point, a spin liquid with spatial modulations can form. Unlike its uniform counterpart, we find that this occurs via a second order phase transition. The amount of entropy quenched when ordering…

强关联电子 · 物理学 2011-07-26 C. Pepin , M. R. Norman , S. Burdin , A. Ferraz

Indistinguishable particles in two dimensions can be characterized by anyonic quantum statistics more general than those of bosons or fermions. Such anyons emerge as quasiparticles in fractional quantum Hall states and certain frustrated…

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

The zero and finite temperature spin-Peierls transitions in a quasi-one-dimensional spin-1/2 Heisenberg model coupled to adiabatic bond phonons is investigated using the Stochastic Series Expansion (SSE) Quantum Monte Carlo (QMC) method.…

强关联电子 · 物理学 2013-10-04 Jason Cornelius Pillay , Keola Wierschem , Pinaki Sengupta

Antiferromagnetic quantum spin systems can exhibit a transition between collinear and spiral ground states, driven by frustration. Classically this is a smooth crossover and the crossover point is termed a Lifshitz point. Quantum…

强关联电子 · 物理学 2020-01-15 Yaroslav A. Kharkov , Jaan Oitmaa , Oleg P. Sushkov

Topological orders are exotic phases of matter existing in strongly correlated quantum systems, which are beyond the usual symmetry description and cannot be distinguished by local order parameters. Here we report an experimental quantum…

量子物理 · 物理学 2015-06-22 Xinhua Peng , Zhihuang Luo , Supeng Kou , Dieter Suter , Jiangfeng Du

We study the finite temperature nature of a quantum phase transition between an Abelian and a non-Abelian topological phase in an exactly solvable model of a chiral spin liquid. By virtue of the exact solvability, this model can serve as a…

强关联电子 · 物理学 2010-02-23 Suk Bum Chung , Hong Yao , Taylor L. Hughes , Eun-Ah Kim

The one-dimensional (1D) domain wall of 2D $\mathbb{Z}_{2}$ topological orders is studied theoretically. The Ising domain wall model is shown to have an emergent SU(2)$_{1}$ conformal symmetry because of a hidden nonsymmorphic octahedral…

强关联电子 · 物理学 2026-01-21 Hong-Hao Song , Chen Peng , Rui-Zhen Huang , Long Zhang