Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator

Kieburg, Mario; Verbaarschot, Jacobus J. M.; Zafeiropoulos, Savvas

doi:10.1103/PhysRevLett.108.022001

Title: Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator

Full Record
Other Related Research

Authors:: Kieburg, Mario; Verbaarschot, Jacobus J. M.; Zafeiropoulos, Savvas

Publication Date:: Wed Jan 11 00:00:00 EST 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1098926

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 108; Journal Issue: 2; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Kieburg, Mario, Verbaarschot, Jacobus J. M., and Zafeiropoulos, Savvas. Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevLett.108.022001.

Copy to clipboard


                    Kieburg, Mario, Verbaarschot, Jacobus J. M., & Zafeiropoulos, Savvas. Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator.  United States.  https://doi.org/10.1103/PhysRevLett.108.022001

Copy to clipboard


                    Kieburg, Mario, Verbaarschot, Jacobus J. M., and Zafeiropoulos, Savvas. Wed .  
"Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator".  United States.  https://doi.org/10.1103/PhysRevLett.108.022001.

Copy to clipboard


                    
@article{osti_1098926,

  title        = {Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator},

  author       = {Kieburg, Mario and Verbaarschot, Jacobus J. M. and Zafeiropoulos, Savvas},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.108.022001},

  journal      = {Physical Review Letters},

  number       = 2,

  volume       = 108,

  place        = {United States},

  year         = {Wed Jan 11 00:00:00 EST 2012},

  month        = {Wed Jan 11 00:00:00 EST 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.108.022001

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 20 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Approach to the continuum limit of the quenched Hermitian Wilson-Dirac operator

Journal Article Edwards, R G ; Heller, U M ; Narayanan, R - Physical Review, D

We investigate the approach to the continuum limit of the spectrum of the Hermitian Wilson-Dirac operator in the supercritical mass region for pure gauge SU(2) and SU(3) backgrounds. For this we study the spectral flow of the Hermitian Wilson-Dirac operator in the range 0{le}m{le}2. We find that the spectrum has a gap for 0{lt}m{le}m{sub 1} and that the spectral density at zero, {rho}(0;m), is non-zero for m{sub 1}{le}m{le}2We find that m{sub 1}{r_arrow}0 and, for m{ne}0, {rho}(0;m){r_arrow}0 (exponential in the lattice spacing) as one goes to the continuum limit. We also compute the topological susceptibility and the size distribution of themore »« less
https://doi.org/10.1103/PhysRevD.60.034502
Density-matrix renormalization-group algorithms with nonorthogonal orbitals and non-Hermitian operators, and applications to polyenes

Journal Article Chan, Garnet Kin-Lic ; Van Voorhis, Troy ; Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307 - Journal of Chemical Physics

We describe the theory and implementation of two extensions to the density-matrix renormalization-group (DMRG) algorithm in quantum chemistry: (i) to work with an underlying nonorthogonal one-particle basis (using a biorthogonal formulation) and (ii) to use non-Hermitian and complex operators and complex wave functions, which occur naturally in biorthogonal formulations. Using these developments, we carry out ground-state calculations on ethene, butadiene, and hexatriene, in a polarized atomic-orbital basis. The description of correlation in these systems using a localized nonorthogonal basis is improved over molecular-orbital DMRG calculations, and comparable to or better than coupled-cluster calculations, although we encountered numerical problems associated withmore »« less
https://doi.org/10.1063/1.1899124
An improved Jacobi-Davidson algorithm applied to non-Hermitian electromagnetic eigenvalue problems

Conference Cooke, S J ; Mondelli, A ; Nelson, E ; ...

An implementation of the Jacobi-Davidson method for solving non-Hermitian eigen problems in electromagnetics will be presented. The standard jacobi-Davidson algorithm has been extended to reduce memory requirements and to improve computational speed through the use of a multi-grid approach. Algorithmic details particular to the types of problem typically encountered in design applications will be described, including the capability to handle highly glossy materials and the need for many degrees of freedom to accurately represent an electromagnetic field. The classes of eigenproblem to which this method has been applied include periodic and lossy structures, discretized on both structured and unstructured meshes.more »« less
A NEW VARIATION METHOD FOR APPROXIMATE CALCULATION OF EIGENVALUES OF HERMITIAN OPERATORS (in German)

Journal Article Maehly, H J - Helvetica Physica Acta (Switzerland)
Nodal arc of disordered Dirac fermions and non-Hermitian band theory

Journal Article Papaj, Michał ; Isobe, Hiroki ; Fu, Liang - Physical Review B
Cited by 78
https://doi.org/10.1103/PhysRevB.99.201107

Similar Records