Semiclassical dynamics of domain walls in the one-dimensional Ising ferromagnet in a transverse field

Иванов, Б. А.; Mikeska, H. J.

doi:10.1103/physrevb.70.174409

Cited by 16 publications

(12 citation statements)

References 32 publications

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“…The break in the VMC-like DE-GWF curve in figure 3(a) appearing at δ ≈ 4% is related to the phase separation effect present for the SC phase in the t-J model in both (VMC-like) DE-GWF and VMC methods [6,24,50]. Namely, the chemical potential (μ G ) of the SC phase has a maximum as a function of doping for δ ≈ 3-5%.…”

Section: Comparison To Experiments and Discussionmentioning

confidence: 92%

High-temperature superconductivity in the two-dimensionalt–Jmodel: Gutzwiller wavefunction solution

2014

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A systematic diagrammatic expansion for Gutzwiller wavefunctions (DE-GWFs) proposed very recently is used for the description of the superconducting (SC) ground state in the two-dimensional square-lattice t-J model with the hopping electron amplitudes t (and ′ t ) between nearest (and next-nearest) neighbors. For the example of the SC state analysis we provide a detailed comparison of the methodʼs results with those of other approaches. Namely, (i) the truncated DE-GWF method reproduces the variational Monte Carlo (VMC) results and (ii) in the lowest (zeroth) order of the expansion the method can reproduce the analytical results of the standard Gutzwiller approximation (GA), as well as of the recently proposed 'grand-canonical Gutzwiller approximation' (called either GCGA or SGA). We obtain important features of the SC state. First, the SC gap at the Fermi surface resembles a − d x y 2 2 wave only for optimally and overdoped systems, being diminished in the antinodal regions for the underdoped case in a qualitative agreement with experiment. Corrections to the gap structure are shown to arise from the longer range of the real-space pairing. Second, the nodal Fermi velocity is almost constant as a function of doping and agrees semi-quantitatively with experimental results. Third, we compare the Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.doping dependence of the gap magnitude with experimental data. Fourth, we analyze the k-space properties of the model: Fermi surface topology and effective dispersion. The DE-GWF method opens up new perspectives for studying strongly correlated systems, as it (i) works in the thermodynamic limit, (ii) is comparable in accuracy to VMC, and (iii) has numerical complexity comparable to that of the GA (i.e., it provides the results much faster than the VMC approach). Keywords: t-J model, high-temperature superconductivity, Gutzwiller wave function, unconventional superconductivity, variational Monte-Carlo method New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al c n c n 1 , 1 i i i i , , representations. New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al 6 New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al 9 , eff , and Δ i j , eff . We also define an additional convergence parameter. Namely, we New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al 16 New J. Phys. 16 (2014) 073018 J Kaczmarczyk et al 20The work was supported in part by the Foundation for Polish Science (FNP) under the 'TEAM' program, as well as by the project 'MAESTRO' from the National Science Centre (NCN), No DEC-2012/04/A/ST3/003420. Part of the computational work was performed on the Shiva supercomputer (IF UJ). One of the authors (JK) acknowledges the hospitality of the Leibniz Universit...

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Section: Comparison To Experiments and Discussionmentioning

confidence: 92%

High-temperature superconductivity in the two-dimensionalt–Jmodel: Gutzwiller wavefunction solution

2014

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“…However the using of continuous LLBar equations for a description of the evolution of strongly nonuniform states provides an explanation of the recent experimental observations [11]. Additionally the comparative analysis of discrete and continuous models for magnetic vortices [30] and domain walls [31] in highly anisotropic magnets shows quite good agreement even for the characteristic sizes like 1.5-2 lattice constants. So we believe that the use of continuous approximation is a good approach to the problem and significantly simplifies (compared to the use of discrete models) the analysis.…”

Section: Formulation Of the Problemmentioning

confidence: 91%

Size dependence of the relaxation rate for non-equilibrium redistributions of the magnetization in Ni–Fe heterestuctures: Exchange vs. relativistic damping scenarios

Yastremsky

2015

Journal of Magnetism and Magnetic Materials

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“…, where S (0) 3,n corresponds to a certain "reference" kink, 22 which coordinate is chosen as X = 0. The total spin projection onto the axis 3 is conserved, S tot 3 = n S 3 = const; thus, for uniaxial ferromagnets with K 2 = K 1 , dX/dt = 0 and a kink dynamics is impossible.…”

Section: Kink Coordinate and Lattice Pinningmentioning

confidence: 99%

“…It is natural to start with the Bohr-Sommerfeld quantization for the domain wall motion, which is based on the analysis of the classical dynamics. This can be done in the same way as for the transverse-field Ising model (see Ref 22…”

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Chirality tunneling and quantum dynamics for domain walls in mesoscopic ferromagnets

et al. 2008

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We studied the quantum dynamics of ferromagnetic domain walls (topological kink-type solitons) in one dimensional ferromagnetic spin chains. We show that the tunneling probability does not depend on the number of spins in a domain wall; thus, this probability can be large even for a domain wall containing a large number of spins. We also predict that there is a strong interplay between the tunneling of a wall from one lattice site to another (tunneling of the kink coordinate) and the tunneling of the kink topological charge (so-called chirality). Both of these elementary processes are suppressed for kinks in one-dimensional ferromagnets with half-integer spin. The dispersion law (i.e., the domain wall energy versus momentum) is essentially different for chains with either integer or half-integer spins. The predicted quantum effects could be observed for mesoscopic magnetic structures, e.g., chains of magnetic clusters, large-spin molecules, or nanosize magnetic dots.

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Semiclassical dynamics of domain walls in the one-dimensional Ising ferromagnet in a transverse field

Cited by 16 publications

References 32 publications

High-temperature superconductivity in the two-dimensionalt–Jmodel: Gutzwiller wavefunction solution

High-temperature superconductivity in the two-dimensionalt–Jmodel: Gutzwiller wavefunction solution

Size dependence of the relaxation rate for non-equilibrium redistributions of the magnetization in Ni–Fe heterestuctures: Exchange vs. relativistic damping scenarios

Chirality tunneling and quantum dynamics for domain walls in mesoscopic ferromagnets

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