skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Numerical investigation of spin excitations in a doped spin chain

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [1];  [5]
  1. Univ. of Alabama at Birmingham, Birmingham, AL (United States)
  2. Harvard Univ., Cambridge, MA (United States)
  3. Stanford Univ., Menlo Park, CA (United States)
  4. Stanford Univ., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
  5. Univ. of Warsaw, Warsaw (Poland)

We study the doping evolution of spin excitations in a one-dimensional (1D) Hubbard model and its downfolded spin Hamiltonians, by using exact diagonalization combined with cluster perturbation theory. In all models we observe hardening (softening) of spin excitations upon electron (hole) doping, which are reminiscent of recent experiments on two-dimensional (2D) cuprate materials. We also find that the three-site and even higher-order terms are crucial for the low-energy effective spin models to reproduce the magnetic spectra of doped Hubbard systems at a quantitative level. To interpret the numerical results, we further employ a strong coupling slave-boson mean-field theory. The mean-field theory provides an intuitive understanding of the overall compact support of dynamic spin structure factors, including the shift of zero-energy modes and change of spin excitation bandwidth with doping. In conclusion, our results can serve as predictive benchmarks for future inelastic x-ray or neutron scattering experiments on doped 1D antiferromagnetic Mott insulators.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-76SF00515; AC02-05CH11231; 2016/22/E/ST3/00560; 2016/23/B/ST3/00839
OSTI ID:
1526412
Alternate ID(s):
OSTI ID: 1510141
Journal Information:
Physical Review. B, Vol. 99, Issue 20; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (109)

Influence of magnetism and correlation on the spectral properties of doped Mott insulators journal March 2018
Correlation of the superconducting critical temperature with spin and orbital excitations in ( Ca x La 1 x ) ( Ba 1.75 x La 0.25 + x ) Cu 3 O y as measured by resonant inelastic x-ray scattering journal September 2015
Canonical perturbation expansion of the Hubbard model journal October 1978
Angle-resolved photoemission in high T c cuprates from theoretical viewpoints journal March 2000
Spin–orbital separation in the quasi-one-dimensional Mott insulator Sr2CuO3 journal April 2012
Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg t t J ladder journal June 2018
Density Matrix Embedding: A Simple Alternative to Dynamical Mean-Field Theory journal November 2012
Influence of apical oxygen on the extent of in-plane exchange interaction in cuprate superconductors journal August 2017
Angle-resolved photoemission study of Sr 2 CuO 3 journal March 1999
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm journal September 2012
What is the spin of a spin wave? journal October 1981
Exact two-spinon dynamic structure factor of the one-dimensional s = 1 2 Heisenberg-Ising antiferromagnet journal May 1998
Kinetic exchange interaction in a narrow S-band journal May 1977
Spin dynamics of edge-sharing spin chains in SrC a 13 C u 24 O 41 journal November 2018
Density matrix formulation for quantum renormalization groups journal November 1992
Effective Hamiltonian for the superconducting Cu oxides journal March 1988
Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems journal October 1995
High-energy spin and charge excitations in electron-doped copper oxide superconductors journal April 2014
Fractionalization, entanglement, and separation: Understanding the collective excitations in a spin-orbital chain journal April 2015
Thermodynamics and excitations of the one-dimensional Hubbard model journal July 2000
Effect of covalent bonding on magnetism and the missing neutron intensity in copper oxide compounds journal October 2009
Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering journal February 2014
Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3 journal December 2018
The Resonating Valence Bond State in La2CuO4 and Superconductivity journal March 1987
Single-particle excitations in a quantum antiferromagnet journal February 1990
Comparison of the electronic structure of the Hubbard and t J models within the cluster perturbation theory journal December 2014
Observation of Spin-Charge Separation in One-Dimensional SrCu O 2 journal November 1996
Angle-resolved photoemission studies of the cuprate superconductors journal April 2003
Spintronics: Fundamentals and applications journal April 2004
Collective Magnetic Excitations in the Spin Ladder Sr 14 Cu 24 O 41 Measured Using High-Resolution Resonant Inelastic X-Ray Scattering journal July 2009
Spin liquids in frustrated magnets journal March 2010
Single-particle spectra of charge-transfer insulators by cluster perturbation theory: The correlated band structure of NiO journal January 2005
Charge and spin excitation spectra in the one-dimensional Hubbard model with next-nearest-neighbor hopping journal March 2008
Origin of strong dispersion in Hubbard insulators journal August 2015
Spintronics: A Spin-Based Electronics Vision for the Future journal November 2001
The density-matrix renormalization group journal April 2005
Dynamically Dominant Excitations of String Solutions in the Spin- 1 / 2 Antiferromagnetic Heisenberg Chain in a Magnetic Field journal January 2009
Paradeisos: A perfect hashing algorithm for many-body eigenvalue problems journal March 2018
Correlated electrons in high-temperature superconductors journal July 1994
Single-Particle and Optical Excitations in Doped Mott- Hubbard Insulators journal March 1992
Self-energy effects in electronic Raman spectra of doped cuprates due to magnetic fluctuations journal June 2013
Relation between the Anderson and Kondo Hamiltonians journal September 1966
Effect of pair hopping and magnitude of intra-atomic interaction on exchange-mediated superconductivity journal January 1988
Distinct spinon and holon dispersions in photoemission spectral functions from one-dimensional SrCuO2 journal May 2006
Theoretical understanding of photon spectroscopies in correlated materials in and out of equilibrium journal August 2018
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette journal March 1931
Pairing in a dry Fermi sea journal June 2016
Generalized t - t ′- J model: Parameters and single-particle spectrum for electrons and holes in copper oxides journal January 1996
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension journal June 1968
A common thread: The pairing interaction for unconventional superconductors journal October 2012
Topological insulators and superconductors journal October 2011
One-dimensional Fermi liquids journal September 1995
Quantum dynamics of charged and neutral magnetic solitons: Spin-charge separation in the one-dimensional Hubbard model journal April 2000
Replica exchange molecular dynamics optimization of tensor network states for quantum many-body systems journal February 2015
Spinon confinement: Dynamics of weakly coupled Hubbard chains journal August 2013
The four-spinon dynamical structure factor of the Heisenberg chain journal December 2006
Real-Space Visualization of Remnant Mott Gap and Magnon Excitations journal April 2014
ARPACK Users' Guide book January 1998
Multispinon Continua at Zero and Finite Temperature in a Near-Ideal Heisenberg Chain journal September 2013
Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity journal September 2018
Dispersion of Magnetic Excitations in the Cuprate La 2 CuO 4 and CaCuO 2 Compounds Measured Using Resonant X-Ray Scattering journal April 2009
Theory of giant magnetoresistance effects in magnetic layered structures with antiferromagnetic coupling journal August 1989
Quantum cluster theories journal October 2005
Asymmetry of collective excitations in electron- and hole-doped cuprate superconductors journal October 2014
Density-matrix algorithms for quantum renormalization groups journal October 1993
Multireference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model journal May 2014
Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model journal November 2017
Derivation of a single-band model for CuO 2 planes by a cell-perturbation method journal April 1992
Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal journal August 2013
Cluster perturbation theory for Hubbard models journal August 2002
Manifestation of Spin-Charge Separation in the Dynamic Dielectric Response of One-Dimensional Sr 2 Cu O 3 journal July 1998
Scattering matrix and excitation spectrum of the Hubbard model journal February 1994
Spectral Weight of the Hubbard Model through Cluster Perturbation Theory journal January 2000
Spin polarons in the t - t ′- J model journal August 1995
Two-spinon dynamic structure factor of the one-dimensional s= Heisenberg antiferromagnet journal May 1997
Spin and Charge Dynamics of the t J Model journal February 1995
Spectral properties of the Hubbard bands journal December 1994
Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain journal June 2013
Theory for Slightly Doped Antiferromagnetic Mott Insulators journal February 2003
Pairing symmetry in cuprate superconductors journal October 2000
Spectral functions of strongly correlated extended systems via an exact quantum embedding journal April 2015
The density-matrix renormalization group in the age of matrix product states journal January 2011
Magnetic excitation spectra of strongly correlated quasi-one-dimensional systems: Heisenberg versus Hubbard-like behavior journal November 2016
Spectroscopic Signatures of Spin-Charge Separation in the Quasi-One-Dimensional Organic Conductor TTF-TCNQ journal February 2002
Spin-Wave Spectrum of the Antiferromagnetic Linear Chain journal December 1962
Spin and charge dynamics for the one-dimensional t - J model journal August 1992
Dynamical correlation functions using the density matrix renormalization group journal July 1999
Multi-spinon and antiholon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets journal July 2018
Doping dependence of magnetic excitations of one-dimensional cuprates as probed by resonant inelastic x-ray scattering journal June 2011
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Spectral properties near the Mott transition in the two-dimensional t J model journal August 2015
SU(2) × SU(2)-invariant scattering matrix of the Hubbard model journal September 1994
Elementary Excitations of One-Dimensional t J Model with Inverse-Square Exchange journal November 1994
Fermi surface evolution in the antiferromagnetic state for the electron-doped t t t J model journal June 2004
Charge and spin dynamics in the one-dimensional t- J z and t-J models journal March 1997
Hubbard model versus t - J model: The one-particle spectrum journal November 1996
Competition between stripes and pairing in a t t J model journal July 1999
Intense paramagnon excitations in a large family of high-temperature superconductors journal July 2011
Spectral Properties of the One-Dimensional Hubbard Model journal August 1994
Range of the t - J model parameters for CuO 2 planes: Experimental data constraints journal November 1994
Consistent low-energy reduction of the three-band model for copper oxides with O-O hopping to the effective t - J model journal April 1994
How to detect fluctuating stripes in the high-temperature superconductors journal October 2003
Signatures of strong correlation effects in resonant inelastic x-ray scattering studies on cuprates journal August 2016
Spin fluctuations in iron pnictides and chalcogenides: From antiferromagnetism to superconductivity journal January 2016
Spin-Exchange Dynamical Structure Factor of the S = 1 / 2 Heisenberg Chain journal April 2011
Magnon Splitting Induced by Charge Transfer in the Three-Orbital Hubbard Model journal June 2018
Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas journal September 2018
Stripe stability in the extended t J model on planes and four-leg ladders journal May 1999
Gas diffusion electrode producing perhydroxyl ions: Calculation of concentration distribution of oxygen and HO2- ions in porous electrode particles journal January 1977

Similar Records

Numerical investigation of spin excitations in a doped spin chain
Journal Article · Wed May 01 00:00:00 EDT 2019 · Physical Review. B · OSTI ID:1526412

Mobile orbitons in Ca2CuO3: Crucial role of Hund's exchange
Journal Article · Tue May 12 00:00:00 EDT 2020 · Physical Review B · OSTI ID:1526412

Prediction of orbital-selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain Ce2O2FeSe2 under hole and electron doping
Journal Article · Tue Feb 08 00:00:00 EST 2022 · Physical Review. B · OSTI ID:1526412