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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

We present the linear spin wave theory calculation of the superfluid phase of a hard-core boson $J$-$K$ model with nearest neighbour exchange $J$ and four-particle ring-exchange $K$ at half filling on the triangular lattice, as well as the…

强关联电子 · 物理学 2013-06-25 Solomon A. Owerre

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

强关联电子 · 物理学 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

We have used quantum Monte Carlo methods to calculate the zero-temperature phase diagram of the two-dimensional homogeneous electron gas. We find a transition from a paramagnetic fluid to an antiferromagnetic triangular Wigner crystal at…

介观与纳米尺度物理 · 物理学 2010-03-02 N. D. Drummond , R. J. Needs

We present a multimethod investigation into the nature of the recently reported quantum spin liquid (QSL) phase in the spin-$1/2$ Heisenberg antiferromagnet on the Shastry-Sutherland lattice. A comprehensive projective symmetry group…

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

强关联电子 · 物理学 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

We study the S=1/2 quantum antiferromagnetic XY model on finite triangular lattices with N sites in both longitudinal and transverse magnetic fields. We calculate physical quantities in the ground state using a diagonalization for spins $N…

凝聚态物理 · 物理学 2016-08-31 Nobuo Suzuki , Fumitaka Matsubara

Recently, a number of experiments indicate the possible presence of spin liquid phases in quantum magnets with spin-1/2 and spin-1 moments sitting on triangular-lattice-based structures in Ba3CuSb2O9 and Ba3NiSb2O9 respectively. In relation…

强关联电子 · 物理学 2013-06-04 Kyusung Hwang , Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

We study a frustrated 3D antiferromagnet of stacked $J_1 - J_2$ layers. The intermediate 'quantum spin liquid' phase, present in the 2D case, narrows with increasing interlayer coupling and vanishes at a triple point. Beyond this there is a…

强关联电子 · 物理学 2015-05-27 Onofre Rojas , C. J. Hamer , J. Oitmaa

Thermodynamic properties of chiral spin liquids are investigated for a variant of the Kitaev model defined on a decorated honeycomb lattice. Using the quantum Monte Carlo simulation, we find that the model exhibits a finite-temperature…

强关联电子 · 物理学 2015-08-26 Joji Nasu , Yukitoshi Motome

We study the quantum phase transition of an $S=1/2$ anisotropic $\alpha$ $(\equiv J_z/J_{xy})$ Heisenberg antiferromagnet on a triangular lattice. We calculate the sublattice magnetization and the long-range helical order-parameter and…

强关联电子 · 物理学 2014-11-18 Nobuo Suzuki , Fumitaka Matsubara , Sumiyoshi Fujiki , Takayuki Shirakura

The magnetic phase diagram and the thermodynamic properties of a square lattice containing antiferromagnetically coupled spin-1/2 triangles are studied. A Heisenberg Hamiltonian with three strong intra-triangle exchange coupling constants…

强关联电子 · 物理学 2009-10-31 Stefan Wessel , Stephan Haas

We study the spin-1/2 Heisenberg model on the square lattice with first- and second-neighbor antiferromagnetic interactions J1 and J2, which possesses a nonmagnetic region that has been debated for many years and might realize the…

强关联电子 · 物理学 2015-06-18 Shou-Shu Gong , Wei Zhu , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We study the phase diagram of the antiferromagnetic $J_1$-$J_2$ Heisenberg model on the pyrochlore lattice with $S=1$ spins at zero and finite temperatures. We use a combination of complementary state-of-the-art quantum many-body approaches…

强关联电子 · 物理学 2025-05-28 Imre Hagymási , Nils Niggemann , Johannes Reuther

We present numerical results for the $J_1$-$J_2$ Heisenberg model on a triangular lattice at finite temperatures $T>0$. In contrast to unfrustrated lattices we reach much lower $T \sim 0.15 J_1$. In static quantities the novel feature is a…

强关联电子 · 物理学 2018-07-11 Peter Prelovšek , Jure Kokalj

Triangular lattice quantum antiferromagnet has recently emerged to be a promising playground for realizing Dirac spin liquids (DSLs) -- a class of highly entangled quantum phases hosting emergent gauge fields and gapless Dirac fermions.…

强关联电子 · 物理学 2020-12-18 Vladimir Calvera , Chong Wang

The existance of a spin disordered ground state for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice is reconsidered. It is argued that there is a unique action which is continuous through the whole phase diagram,…

凝聚态物理 · 物理学 2009-10-22 Jaime Ferrer

Following our previous work, we study the quantum phase transitions which spontaneously develop ferromagnetic spin order in helical fermi liquids which breaks continuous spin-space rotation symmetry, with application to the edge states of…

强关联电子 · 物理学 2015-05-14 Cenke Xu

Chiral magnets, such as MnSi, display a rich finite temperature phase diagram in an applied magnetic field. The most unusual of the phases encountered is the so called A-phase characterized by a triangular lattice of skyrmion tubes. Its…

强关联电子 · 物理学 2013-11-27 Stefan Buhrandt , Lars Fritz

The phase diagram of the XXZ spin-1 quantum magnet on the kagome lattice is studied for all cases where the $J_z$ coupling is antiferromagnetic. In the zero magnetic field case, the six previously introduced phases, found using various…

强关联电子 · 物理学 2009-11-13 Cenke Xu , Joel E. Moore