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We perform a systematic investigation of an asymmetric zig-zag spin ladder with inter-leg exchange $J_1$ and different exchange integrals $J_2 \pm \delta$ on both legs. In the weak limit of frustration, the spin model can be mapped to a…

强关联电子 · 物理学 2016-08-16 Shu Chen , H. Büttner , J. Voit

Synthetic spin-orbit coupling in cold atoms couples the pseudo-spin and spatial degrees of freedom, and therefore the inherent spin symmetry of the system plays an important role. In systems of two pseudo-spin degrees, two particles contain…

量子气体 · 物理学 2025-02-05 Ayaka Usui , Abel Rojo-Francàs , James Schloss , Bruno Juliá-Díaz

We study a generalized quantum hard-core dimer model on the square and honeycomb lattices, allowing for first and second neighbor dimers. At generalized RK points, the exact ground states can be constructed, and ground-state correlation…

强关联电子 · 物理学 2015-06-03 Hong Yao , Steven A. Kivelson

This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric $\delta$-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is…

高能物理 - 理论 · 物理学 2023-06-16 Guglielmo Fucci , César Romaniega Sancho

We consider the ground state energy of the Lieb-Liniger gas with $\delta$ interaction in the weak coupling regime $\gamma\to0$. For bosons with repulsive interaction, previous studies gave the expansion…

统计力学 · 物理学 2017-03-08 Sylvain Prolhac

We investigate the possibility and implications of interlayer coherence in electrically isolated superconducting bilayers. We find that in a mean-field approximation bilayers can have superconducting and excitonic order simultaneously if…

超导电性 · 物理学 2023-01-18 Igor V. Blinov , Allan H. MacDonald

Magnetic phases with quantum entanglement are often expressed in terms of parton wavefunctions. Relatively few examples are known where wavefunctions can be directly written down in the spin basis. In this article, we consider the spin-$S$…

强关联电子 · 物理学 2025-09-29 Alwyn Jose Raja , Rajesh Narayanan , R. Ganesh

In this study, we consider one-dimension (1D) quantum spin systems with the translation and discrete symmetries (spin reversal, space inversion and time reversal symmetries). By combining the continuous U(1) symmetry with the discrete…

统计力学 · 物理学 2017-11-08 Takaichi Isoyama , Kiyohide Nomura

The transmission coefficient for a one dimensional system is given in terms of Chebyshev polynomials using the tight-binding model. This result is applied to a system composed of two impurities located between $N$ sites of a host lattice.…

无序系统与神经网络 · 物理学 2009-11-07 P. Ojeda , R. Huerta Quintanilla , M. Rodriguez-Achach

We introduce a one-dimensional plaquette orbital model with a topology of a ladder and alternating interactions between $x$ and $z$ pseudospin components along both the ladder legs and on the rungs. We show that it is equivalent to an…

强关联电子 · 物理学 2014-08-04 Wojciech Brzezicki , Andrzej M. Oleś

We have studied the anti-ferromagnetic Kitaev model on a honeycomb lattice under the Zeeman field, using an extensive Majorana mean-field analysis. When the magnetic field is along a specific Cartesian axis, we find that the emergent fields…

强关联电子 · 物理学 2026-03-04 Sheikh Moonsun Pervez

In this work we present a method to control chimera states through linear augmentation. Using an ensemble of globally coupled oscillators, we demonstrate that control over the spatial location of the incoherent or coherent regions of a…

混沌动力学 · 物理学 2019-11-12 Anjuman Ara Khatun , Haider Hasan Jafri

The mean-field triplon analysis is developed for spin-S quantum antiferromagnets with dimerized ground states. For the spin-1/2 case, it reduces to the well known bond-operator mean-field theory. It is applied to a coupled-dimer model on…

强关联电子 · 物理学 2010-08-05 Brijesh Kumar

The Kitaev model is a fascinating example of an exactly solvable model displaying a spin-liquid ground state in two dimensions. However, deviations from the original Kitaev model are expected to appear in real materials. In this Letter, we…

强关联电子 · 物理学 2022-07-21 Vitor Dantas , Eric C. Andrade

We study the excitation spectrum of the spin-1 Kitaev model using the symmetric tensor network. By evaluating the virtual order parameters defined on the virtual Hilbert space in the tensor network formalism, we confirm the ground state is…

强关联电子 · 物理学 2023-04-07 Yu-Hsueh Chen , Jozef Genzor , Yong Baek Kim , Ying-Jer Kao

Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this…

We study a set of exactly soluble net spin models. There exist two kinds of ground state, one is a complete dimerized state, and the other one is the ground state of corresponding spin-1 model. For the excitation gap, various phases were…

凝聚态物理 · 物理学 2007-05-23 H. Q. Lin , J. L. Shen

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

The two-layer square lattice quantum antiferromagnet with spins 1/2 shows a zero-field magnetic order-disorder transition at a critical ratio of the inter-plane to intra-plane couplings. Adding a uniform magnetic field tunes the system to…

强关联电子 · 物理学 2009-11-07 Torsten Sommer , Matthias Vojta , Klaus W. Becker

We investigate the ground-state structure of the bilayer quantum Hall system at the filling factor $\nu =2$. Making an exact analysis of the ground state in the SU(4)-invariant limit, we include all other interactions as small perturbation.…

强关联电子 · 物理学 2009-11-11 Z. F. Ezawa , M. Eliashvili , G. Tsitsishvili