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We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

The ground state properties and phase diagram of the bilayer square-lattice Heisenberg model are studied in a broad parameter space of intralayer exchange couplings, assuming an antiferromagnetic coupling between constituent layers. In the…

Strongly Correlated Electrons · Physics 2009-10-30 Yasuhiro Matsushita , Martin P. Gelfand , Chikara Ishii

The phase diagram of the spin-1 chain with bilinear-biquadratic and next-nearest neighbor inter- actions, recently investigated by Pixley, Shashi and Nevidomskyy [Phys. Rev. B 90, 214426 (2014)], has been revisited in the light of results…

Strongly Correlated Electrons · Physics 2016-11-02 Natalia Chepiga , Ian Affleck , Frederic Mila

We theoretically study an ultra-cold gas of spin-1 polar bosons in a one dimensional continuum which are subject to linear and quadratic Zeeman fields and a Raman induced spin-orbit coupling. Concentrating on the regime in which the…

Quantum Gases · Physics 2019-05-02 E. J. König , J. H. Pixley

Ferromagnetic, in contrast to antiferromagnetic, Heisenberg chains can undergo a Spin-Peierls dimerization only at finite temperatures. They show reentrant behavior as a function of temperature, which might play a role for systems with…

Strongly Correlated Electrons · Physics 2011-10-19 A. Herzog , P. Horsch , A. M. Oles , J. Sirker

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

The zero-temperature properties of the SO(5) bilinear-biquadratic Heisenberg spin chain are investigated by means of a low-energy approach and large scale numerical calculations. In sharp contrast to the spin-1 SO(3) Heisenberg chain, we…

Strongly Correlated Electrons · Physics 2011-05-10 F. Alet , S. Capponi , H. Nonne , P. Lecheminant , I. P. McCulloch

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

We investigate the quantum phases of a frustrated antiferromagnetic Heisenberg spin-1/2 model Hamiltonian on a Kagome-strip chain (KSC), a one-dimensional analogue of the Kagome lattice, and construct its phase diagram in an extended…

Strongly Correlated Electrons · Physics 2024-09-20 Sayan Ghosh , Rajiv R. P. Singh , Manoranjan Kumar

We consider quantum spin systems with dimerization, which at strong coupling have singlet ground states. To account for strong correlations, the excitations are described as dilute Bose gas of degenerate triplets with infinite on-site…

Strongly Correlated Electrons · Physics 2009-10-30 V. N. Kotov , O. Sushkov , Zheng Weihong , J. Oitmaa

Spin one condensates in the polar (antiferromagnetic) phase in two dimensions are shown to undergo a transition of the Ising type, in addition to the expected Kosterlitz--Thouless (KT) transition of half vortices, due to the quadratic…

Quantum Gases · Physics 2015-03-31 A. J. A. James , A. Lamacraft

We study a one-dimensional Hamiltonian consisting of coupled SU(2) spin and orbital degrees of freedom. Using the density matrix renormalization group, we calculate the phase-diagram and the ground state correlation functions for this…

Condensed Matter · Physics 2009-10-31 Swapan K. Pati , Rajiv R. P. Singh , Daniel I. Khomskii

The S=1/2 Heisenberg bilayer spin model at zero temperature is studied in the dimerized phase using analytic triplet-wave expansions and dimer series expansions. The occurrence of two-triplon bound states in the S=0 and S=1 channels, and…

Strongly Correlated Electrons · Physics 2009-11-13 A. Collins , C. J. Hamer

The absence of a critical nematic phase in the vicinity of the $\rm {SU}(3)$ ferromagnetic point for the one-dimensional spin-1 bilinear-biquadratic model is demonstrated by means of the tensor network algorithms. As it turns out, the phase…

Strongly Correlated Electrons · Physics 2023-12-01 Yan-Wei Dai , Qian-Qian Shi , Huan-Qiang Zhou , Ian P. McCulloch

We study the antiferromagnetic spin-half Heisenberg ladder in the presence of an additional frustrating rung spin which is motivated and relevant also for the description of real two-dimensional materials such as the two-dimensional trimer…

Strongly Correlated Electrons · Physics 2021-03-17 Andreas Weichselbaum , Weiguo Yin , Alexei M. Tsvelik

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

We explore several classes of quadrupolar ordering in a system of antiferromagnetically coupled quantum spin-1 dimers, which are stacked in the triangular lattice geometry forming a bilayer. Low-energy properties of this model is described…

Strongly Correlated Electrons · Physics 2020-04-22 Katsuhiro Tanaka , Chisa Hotta

A two-component two-dimensional (2D) dipolar bosonic system in the bilayer geometry is considered. By performing quantum Monte Carlo simulations in a wide range of layer spacings we analyze in detail the pair correlation functions, the…

Quantum Gases · Physics 2016-08-03 Alexey Filinov

The ground state of the square lattice bilayer quantum antiferromagnet with nearest ($J_1$) and next-nearest ($J_2$) neighbour intralayer interaction is studied by means of the dimer expansion method up to the 6-th order in the interlayer…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuo Hida