Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory

Wohlfeld, K.; Chen, Cheng-Chien; van Veenendaal, M.; Devereaux, T. P.

doi:10.12693/APhysPolA.127.201

Title: Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory

Full Record
Other Related Research

Abstract

Motivated by the recent success in describing the spin and orbital spectrum of a spin-orbital chain using a large-N mean-field approximation [Phys. Rev. B 91, 165102 (2015)], we apply the same formalism to the case of a spin chain in the external magnetic field. It occurs that in this case, which corresponds to N=2 in the approximation, the large-N mean-field theory cannot qualitatively reproduce the spin excitation spectra at high magnetic fields, which polarize more than 50% of the spins in the magnetic ground state. This, rather counterintuitively, shows that the physics of a spin chain can under some circumstances be regarded as more complex than the physics of a spin-orbital chain.

Authors:

Wohlfeld, K. ^[1]; Chen, Cheng-Chien ^[2]; van Veenendaal, M. ^[3]; Devereaux, T. P. ^[4]

Univ. of Warsaw (Poland). Inst. of Theoretical Physics
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Northern Illinois Univ., DeKalb, IL (United States). Dept. of Physics
SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Inst. for Materials and Energy Sciences

Publication Date:: Sun Feb 01 00:00:00 EST 2015

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Polish National Science Centre (NCN)

OSTI Identifier:: 1193711

Alternate Identifier(s):: OSTI ID: 1222725

Grant/Contract Number:: DE-AC02-76SF00515; DE-AC02-06CH11357; DE- FG02-03ER46097; AC02-76SF00515; AC02-06CH11357; FG02-03ER46097

Resource Type:: Accepted Manuscript

Journal Name:: Acta Physica Polonica, Series A

Additional Journal Information:: Journal Volume: 127; Journal Issue: 2; Journal ID: ISSN 0587-4246

Publisher:: Jagiellonian University

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Wohlfeld, K., Chen, Cheng-Chien, van Veenendaal, M., and Devereaux, T. P. Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory.  United States: N. p., 2015. 
Web.  doi:10.12693/APhysPolA.127.201.

Copy to clipboard


                    Wohlfeld, K., Chen, Cheng-Chien, van Veenendaal, M., & Devereaux, T. P. Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory.  United States.  https://doi.org/10.12693/APhysPolA.127.201

Copy to clipboard


                    Wohlfeld, K., Chen, Cheng-Chien, van Veenendaal, M., and Devereaux, T. P. Sun .  
"Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory".  United States.  https://doi.org/10.12693/APhysPolA.127.201.  https://www.osti.gov/servlets/purl/1193711.

Copy to clipboard


                    
@article{osti_1193711,

  title        = {Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory},

  author       = {Wohlfeld, K. and Chen, Cheng-Chien and van Veenendaal, M. and Devereaux, T. P.},

  abstractNote = {Motivated by the recent success in describing the spin and orbital spectrum of a spin-orbital chain using a large-N mean-field approximation [Phys. Rev. B 91, 165102 (2015)], we apply the same formalism to the case of a spin chain in the external magnetic field. It occurs that in this case, which corresponds to N=2 in the approximation, the large-N mean-field theory cannot qualitatively reproduce the spin excitation spectra at high magnetic fields, which polarize more than 50% of the spins in the magnetic ground state. This, rather counterintuitively, shows that the physics of a spin chain can under some circumstances be regarded as more complex than the physics of a spin-orbital chain.},

  doi          = {10.12693/APhysPolA.127.201},

  journal      = {Acta Physica Polonica, Series A},

  number       = 2,

  volume       = 127,

  place        = {United States},

  year         = {Sun Feb 01 00:00:00 EST 2015},

  month        = {Sun Feb 01 00:00:00 EST 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.12693/APhysPolA.127.201

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory

Journal Article Wohlfeld, K. ; Chen, Cheng-Chien ; van Veenendaal, M. ; ... - Acta Physica Polonica, Series A

Motivated by the recent success in describing the spin and orbital spectrum of a spin-orbital chain using a large-N mean-field approximation, we apply the same formalism to the case of a spin chain in the external magnetic field. It occurs that in this case, which corresponds to N = 2 in the approximation, the large-N mean-field theory cannot qualitatively reproduce the spin excitation spectra at high magnetic fields, which polarize more than 50% of the spins in the magnetic ground state. This, rather counterintuitively, shows that the physics of a spin chain can under some circumstances be regarded as moremore »« less
https://doi.org/10.12693/APhysPolA.127.201
Shell structure of superheavy nuclei in self-consistent mean-field models

Journal Article Bender, M ; Rutz, K ; Maruhn, J A ; ... - Physical Review, C

We study the extrapolation of nuclear shell structure to the region of superheavy nuclei in self-consistent mean-field models[emdash]the Skyrme-Hartree-Fock approach and the relativistic mean-field model[emdash]using a large number of parametrizations which give similar results for stable nuclei but differ in detail. Results obtained with the folded-Yukawa potential which is widely used in macroscopic-macroscopic models are shown for comparison. We focus on differences in the isospin dependence of the spin-orbit interaction and the effective mass between the models and their influence on single-particle spectra. The predictive power of the mean-field models concerning single-particle spectra is discussed for the examples of [supmore »« less
https://doi.org/10.1103/PhysRevC.60.034304
The all configuration mean energy multiconfiguration self-consistent-field method. I. Equal configuration weights

Journal Article Shepard, Ron ; Brozell, Scott R. - Molecular Physics

The All Configuration Mean Energy (ACME) conditions are a special case of state averaging for Multiconfigurational Self-Consistent-Field (MCSCF) orbital optimisation. The method is formulated using the Graphical Unitary Group Approach (GUGA) in which the Configuration State Function (CSF) basis is represented as walks within a Shavitt graph. This graphical formulation leads to efficient recursive algorithms for the energy and reduced density matrices (RDM) that are independent of the CSF dimension and that scale only as O(n2) where n is the number of occupied orbitals. The Hamiltonian matrix diagonalization step is obviated and the CSF expansion coefficients are neither referenced normore »« less
Cited by 7
https://doi.org/10.1080/00268976.2019.1635275

Full Text Available
Bosonic mean-field theory of the spiral phases of Heisenberg antiferromagnets on a chain

Journal Article Rao, S ; Sen, D - Physical Review, B: Condensed Matter; (United States)

We develop a bosonic mean-field theory to describe the spiral phases of a Heisenberg antiferromagnet on a one-dimensional chain, in terms of three bosons at each site. The ground state is disordered, and for large values of the spin [ital S], two different and exponentially small energy gaps are found. The spin-spin correlation function is computed and is shown to decay exponentially at large distances. Our mean-field theory is also shown to be exact in a large-[ital N] generalization.
https://doi.org/10.1103/PhysRevB.48.12763
Mean-field theory for ferroelectricity in Ca3CoMnO6

Journal Article Guo, Y. J. ; Dong, Shuai ; Wang, Kefeng ; ... - Physical Review B

An elastic Ising model for CoMnO6 chain is proposed to explain the ferroelectricity induced by collinear magnetic order in Ca3CoMnO6, and then a mean-field theory with interchain spin interactions based on this model is developed. With inclusion of the dynamics of polarization domains at finite temperature, we address the rationality of our theory by the good agreement of the calculated electric polarization and dielectric susceptibility with the reported data on Ca3Co2 xMnxO6 x 0.96 Y. J. Choi, H. T. Yi, S. Lee, Q. Huang, V. Kiryukhin, and S.-W. Cheong, Phys. Rev. Lett. 100, 047601 2008 , a typical diatomic Isingmore »« less
https://doi.org/10.1103/PhysRevB.79.245107

Similar Records