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The effect of the spin-orbit coupling on the ground state properties of the square-lattice three-band Hubbard model with a single electron per site is studied by a generalized Hartree-Fock approximation. We calculate the full phase diagram…

Strongly Correlated Electrons · Physics 2024-09-30 Petr A. Igoshev , Danil E. Chizhov , Valentin Yu. Irkhin , Sergey V. Streltsov

Stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is analyzed in both one- and two-dimensional systems. First we show analytically that when the strength of the gain-loss component in the PT lattice…

Optics · Physics 2015-06-03 Sean Nixon , Lijuan Ge , Jianke Yang

Using a three-dimensional mean-field model we study one-dimensional dipolar Bose-Einstein condensate (BEC) solitons on a weak two-dimensional (2D) square and triangular optical lattice (OL) potentials placed perpendicular to the…

Quantum Gases · Physics 2012-06-14 S. K. Adhikari , P. Muruganandam

We explore stability regions for solitons in the nonlinear Schrodinger equation with a spatially confined region carrying a combination of self-focusing cubic and septimal terms, with a quintic one of either focusing or defocusing sign.…

Quantum Gases · Physics 2017-08-02 H. Fabrelli , J. B. Sudharsan , R. Radha , A. Gammal , Boris A. Malomed

We incorporate spin-orbit coupling (SOC) into effective Kugel-Khomskii models for the $n=1$ and $n=2$ members of the Ruddlesden-Popper series Sr$_{n+1}$Cr$_n$O$_{3n+1}$. These model contain interacting spins 1 and pseudospins 1/2 at each…

Strongly Correlated Electrons · Physics 2026-04-01 Cristian Fanjul , A. A. Aligia

We report the crystal growth and structural and magnetic properties of quasi two-dimensional $S=1/2$ quantum magnet Cu[C$_6$H$_2$(COO)$_4$][H$_3$N-(CH$_2$)$_2$-NH$_3$]$\cdot$3H$_2$O. It is found to crystallize in a monoclinic structure with…

Materials Science · Physics 2021-05-26 S. Guchhait , S. Baby , M. Padmanabhan , A. Medhi , R. Nath

We investigate multiple-$Q$ instability on a square lattice at particular ordering wave vectors. We find that a superposition of quadruple-$Q$ spin density waves, which are connected by fourfold rotational and mirror symmetries, gives rise…

Strongly Correlated Electrons · Physics 2024-04-23 Satoru Hayami

Interplay of spin-orbit coupling and vibronic coupling on heavy $d^1$ site of cubic double perovskites is investigated by ab initio calculations. The stabilization energy of spin-orbital-lattice entangled states is found comparable to or…

Strongly Correlated Electrons · Physics 2018-08-23 Naoya Iwahara , Veacheslav Vieru , Liviu F. Chibotaru

We show that spin-orbit coupling (SOC) gives rise to pairing instability in a highly polarized two-dimensional Fermi gas for arbitrary interaction strength. The pairing instability can lead to a Fulde-Ferrell-Larkin-Ovchinnikov-like…

Quantum Gases · Physics 2012-10-08 Wei Yi , Wei Zhang

This concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e., self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison…

Pattern Formation and Solitons · Physics 2023-12-29 Boris A. Malomed

Simple cubic (SC) phase has been long experimentally determined as the high-pressure phase III of elemental calcium (Ca) since 1984. However, recent density functional calculations within semi-local approximation showed that this SC phase…

Materials Science · Physics 2015-06-11 Hanyu Liu , Wenwen Cui , Yanming Ma

We review examples of muon-spin relaxation measurements on molecule-based magnetic coordination polymers, classified by their magnetic dimensionality. These include the one-dimensional s=1/2 spin chain Cu(pyz)(NO3)2 and the two-dimensional…

Strongly Correlated Electrons · Physics 2014-01-17 T. Lancaster , S. J. Blundell , F. L. Pratt

We characterize spin-polarized lasing in a two-dimensional photonic lattice fabricated from a GaAs/InGaAs semiconductor microcavity sample. The lattice is defined by a staggered arrangement of rounded rectangular micrometric mesas that…

We consider a 2+1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U in the 1-direction set to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is non-local. Despite…

High Energy Physics - Lattice · Physics 2009-11-11 Peter Orland

In this paper the spin configurations of the ground state and one- and two-electron excited states of the Hubbard model on the square lattice are studied. We profit from a general rotated-electron description, which is consistent with the…

Strongly Correlated Electrons · Physics 2010-04-13 J. M. P. Carmelo

What is the simplest Hamiltonian which can implement quantum computation without requiring any control operations during the computation process? In a previous paper we have constructed a 10-local finite-range interaction among qubits on a…

Quantum Physics · Physics 2013-05-29 Dominik Janzing

We introduce spatiotemporal solitons of the two-dimensional complex Ginzburg-Landau equation (2D CCQGLE) with cubic and quintic nonlinearities in which asymmetry between space-time variables is included. The 2D CCQGLE is solved by a…

Pattern Formation and Solitons · Physics 2015-10-01 Florent Bérard , Stefan C. Mancas

The phase diagram of binary mixtures of particles interacting via a pair potential of parallel dipoles is computed at zero temperature as a function of composition and the ratio of their magnetic susceptibilities. Using lattice sums, a rich…

Soft Condensed Matter · Physics 2009-11-13 Lahcen Assoud , René Messina , Hartmut Löwen

We introduce the two-dimensional Gross-Pitaevskii/nonlinear-Schrodinger (GP/NLS) equation with the self-focusing nonlinearity confined to two identical circles, separated or overlapped. The model can be realized in terms of Bose-Einstein…

Pattern Formation and Solitons · Physics 2015-05-28 Thawatchai Mayteevarunyoo , Boris A. Malomed , Athikom Reoksabutr

We consider a simplified model of the magnetic structure of the two-dimensional compound $CaV_4O_9$ in terms of interacting square plaquettes of spins with two distinct antiferromagnetic exchange constants. We analyze the competition…

Condensed Matter · Physics 2009-10-28 S. V. Meshkov , D. Foerster
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