Magnetic properties of alternating Hubbard ladders

Essalah, Kaouther; Benali, Ali; Abdelwahab, Anas; Jeckelmann, Eric; Scalettar, Richard T.

doi:10.1103/physrevb.103.165127

Magnetic properties of alternating Hubbard ladders

Journal Article · Thu Apr 22 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.165127· OSTI ID:1851970

Essalah, Kaouther ^[1]; ^[2]; ^[3]; ^[3]; Scalettar, Richard T. ^[4]

University of Tunis El-Manar (Tunisia); OSTI
University of Tunis El-Manar (Tunisia)
Leibniz University, Hannover (Germany)
Univ. of California, Davis, CA (United States)

We explore the Hubbard Hamiltonian on ladders where the number of sites per rung alternates between two and three. These geometries are bipartite with nonequal or equal number of sites on the two sublattices. Thus they share a key feature of the Hubbard model in a class of lattices which Lieb has shown analytically to exhibit long-range ferrimagnetic order while being amenable to powerful numeric approaches developed for quasi-one-dimensional geometries. The density matrix renormalization group (DMRG) method is used to obtain the groundstate properties, e.g., excitation gaps, charge and spin densities as well as their correlation functions at half filling. We show the existence of long-range ferrimagnetic order in the one-dimensional ladder geometries. Our work provides detailed quantitative results which complement the general theorem of Lieb for generalized bipartite lattices. It also addresses the issue of how the alternation between quasi-long-range order and spin liquid behavior for uniform ladders with odd and even numbers of legs might be affected by a regular alternation pattern.

View Accepted Manuscript (DOE)

Research Organization:: University of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0014671

OSTI ID:: 1851970

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 103; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (47)

Absence of pair binding in the U=? Hubbard model Chakravarty, S.; Chayes, L.; Kivelson, S. A. Letters in Mathematical Physics, Vol. 23, Issue 4 https://doi.org/10.1007/bf00398823	journal	December 1991
Superconductivity in ladders and coupled planes Dagotto, E.; Riera, J.; Scalapino, D. Physical Review B, Vol. 45, Issue 10 https://doi.org/10.1103/physrevb.45.5744	journal	March 1992
Stripes in a three-chain Hubbard ladder: A comparison of density-matrix renormalization group and constrained-path Monte Carlo results Bonča, J.; Gubernatis, J. E.; Guerrero, M. Physical Review B, Vol. 61, Issue 5 https://doi.org/10.1103/physrevb.61.3251	journal	February 2000
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials Dagotto, E.; Rice, T. M. Science, Vol. 271, Issue 5249 https://doi.org/10.1126/science.271.5249.618	journal	February 1996
Electron Energy-Loss Spectroscopy in the Electron Microscope Egerton, R. F. https://doi.org/10.1007/978-1-4419-9583-4	book	January 2011
Absence of pair binding in the U=? Hubbard model Chakravarty, S.; Chayes, L.; Kivelson, S. A. Letters in Mathematical Physics, Vol. 23, Issue 4 https://doi.org/10.1007/BF00398823	journal	December 1991
The One-Dimensional Hubbard Model Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank Cambridge University Press https://doi.org/10.1017/CBO9780511534843	book	January 2009
Ferromagnetism in one-dimensional monatomic metal chains Gambardella, P.; Dallmeyer, A.; Maiti, K. Nature, Vol. 416, Issue 6878 https://doi.org/10.1038/416301a	journal	March 2002
Optical lattices Greiner, Markus; Fölling, Simon Nature, Vol. 453, Issue 7196 https://doi.org/10.1038/453736a	journal	June 2008
Ultracold quantum gases in optical lattices Bloch, Immanuel Nature Physics, Vol. 1, Issue 1 https://doi.org/10.1038/nphys138	journal	October 2005
Atomic spin-chain realization of a model for quantum criticality Toskovic, R.; van den Berg, R.; Spinelli, A. Nature Physics, Vol. 12, Issue 7 https://doi.org/10.1038/nphys3722	journal	April 2016
Experimental realization and characterization of an electronic Lieb lattice Slot, Marlou R.; Gardenier, Thomas S.; Jacobse, Peter H. Nature Physics, Vol. 13, Issue 7 https://doi.org/10.1038/nphys4105	journal	April 2017
Spin- and charge-density waves in the Hartree–Fock ground state of the two-dimensional Hubbard model Xu, Jie; Chang, Chia-Chen; Walter, Eric J. Journal of Physics: Condensed Matter, Vol. 23, Issue 50 https://doi.org/10.1088/0953-8984/23/50/505601	journal	November 2011
A density matrix renormalization group approach to interacting quantum systems on Cayley trees Friedman, Barry Journal of Physics: Condensed Matter, Vol. 9, Issue 42 https://doi.org/10.1088/0953-8984/9/42/016	journal	October 1997
Phase diagram of the Hubbard model: A variational wave-function approach Coppersmith, S. N.; Yu, Clare C. Physical Review B, Vol. 39, Issue 16 https://doi.org/10.1103/PhysRevB.39.11464	journal	June 1989
Superconductivity in ladders and coupled planes Dagotto, E.; Riera, J.; Scalapino, D. Physical Review B, Vol. 45, Issue 10 https://doi.org/10.1103/PhysRevB.45.5744	journal	March 1992
Density-matrix algorithms for quantum renormalization groups White, Steven R. Physical Review B, Vol. 48, Issue 14 https://doi.org/10.1103/PhysRevB.48.10345	journal	October 1993
Superconductivity in a quasi-one-dimensional spin liquid Sigrist, M.; Rice, T. M.; Zhang, F. C. Physical Review B, Vol. 49, Issue 17 https://doi.org/10.1103/PhysRevB.49.12058	journal	May 1994
Inelastic-neutron-scattering study of the spin dynamics in the Haldane-gap system Ni( C 2 H 8 N 2 ) 2 NO 2 ClO 4 Regnault, L. P.; Zaliznyak, I.; Renard, J. P. Physical Review B, Vol. 50, Issue 13 https://doi.org/10.1103/PhysRevB.50.9174	journal	October 1994
Density-matrix renormalization-group method in momentum space Xiang, T. Physical Review B, Vol. 53, Issue 16 https://doi.org/10.1103/PhysRevB.53.R10445	journal	April 1996
Low-lying excited states and low-temperature properties of an alternating spin-1–spin-1/2 chain: A density-matrix renormalization-group study Pati, Swapan K.; Ramasesha, S.; Sen, Diptiman Physical Review B, Vol. 55, Issue 14 https://doi.org/10.1103/PhysRevB.55.8894	journal	April 1997
Elementary excitations of Heisenberg ferrimagnetic spin chains Yamamoto, Shoji; Brehmer, S.; Mikeska, H. -J. Physical Review B, Vol. 57, Issue 21 https://doi.org/10.1103/PhysRevB.57.13610	journal	June 1998
Alternating-spin ladders Fukui, Takahiro; Kawakami, Norio Physical Review B, Vol. 57, Issue 1 https://doi.org/10.1103/PhysRevB.57.398	journal	January 1998
Thermodynamic properties of Heisenberg ferrimagnetic spin chains: Ferromagnetic-antiferromagnetic crossover Yamamoto, Shoji; Fukui, Takahiro Physical Review B, Vol. 57, Issue 22 https://doi.org/10.1103/PhysRevB.57.R14008	journal	June 1998
Spin-wave series for quantum one-dimensional ferrimagnets Ivanov, N. B. Physical Review B, Vol. 57, Issue 22 https://doi.org/10.1103/PhysRevB.57.R14024	journal	June 1998
Comparison of different ladder models Jeckelmann, E.; Scalapino, D. J.; White, S. R. Physical Review B, Vol. 58, Issue 14 https://doi.org/10.1103/PhysRevB.58.9492	journal	October 1998
Stripes in a three-chain Hubbard ladder: A comparison of density-matrix renormalization group and constrained-path Monte Carlo results Bonča, J.; Gubernatis, J. E.; Guerrero, M. Physical Review B, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevB.61.3251	journal	February 2000
Alternating-spin ladders in a magnetic field: Formation of magnetization plateaux Langari, A.; Martín-Delgado, M. A. Physical Review B, Vol. 62, Issue 17 https://doi.org/10.1103/PhysRevB.62.11725	journal	November 2000
Strong correlation effects in the fullerene C 20 studied using a one-band Hubbard model Lin, Fei; Sørensen, Erik S.; Kallin, Catherine Physical Review B, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevB.76.033414	journal	July 2007
Frustrated spin ladder with alternating spin-1 and spin- 1 2 rungs Chandra, V. Ravi; Ivanov, N. B.; Richter, J. Physical Review B, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevB.81.024409	journal	January 2010
Ground-state and spectral properties of an asymmetric Hubbard ladder Abdelwahab, Anas; Jeckelmann, Eric; Hohenadler, Martin Physical Review B, Vol. 91, Issue 15 https://doi.org/10.1103/PhysRevB.91.155119	journal	April 2015
Two theorems on the Hubbard model Lieb, Elliott H. Physical Review Letters, Vol. 62, Issue 10 https://doi.org/10.1103/PhysRevLett.62.1201	journal	March 1989
High-field magnetization of a quasi-one-dimensional S=1 antiferromagnet Ni( C 2 H 8 N 2 ) 2 NO 2 ( ClO 4 : Observation of the Haldane gap Ajiro, Yoshitami; Goto, Tsuneaki; Kikuchi, Hikomitsu Physical Review Letters, Vol. 63, Issue 13 https://doi.org/10.1103/PhysRevLett.63.1424	journal	September 1989
Ferrimagnetic long-range order of the Hubbard model Shen, Shun-Qing; Qiu, Zhao-Ming; Tian, Guang-Shan Physical Review Letters, Vol. 72, Issue 8 https://doi.org/10.1103/PhysRevLett.72.1280	journal	February 1994
Observation of a Spin Gap in Sr Cu 2 O 3 Comprising Spin-½ Quasi-1D Two-Leg Ladders Azuma, M.; Hiroi, Z.; Takano, M. Physical Review Letters, Vol. 73, Issue 25 https://doi.org/10.1103/PhysRevLett.73.3463	journal	December 1994
Resonating Valence Bond Theory of Coupled Heisenberg Chains White, S. R.; Noack, R. M.; Scalapino, D. J. Physical Review Letters, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevLett.73.886	journal	August 1994
Dynamics in the S = 1 One-Dimensional Antiferromagnet AgV P 2 S 6 via 31 P and 51 V NMR Takigawa, M.; Asano, T.; Ajiro, Y. Physical Review Letters, Vol. 76, Issue 12 https://doi.org/10.1103/PhysRevLett.76.2173	journal	March 1996
Experimental Evidence of a Haldane Gap in an S = 2 Quasi-Linear-Chain Antiferromagnet Granroth, G. E.; Meisel, M. W.; Chaparala, M. Physical Review Letters, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevLett.77.1616	journal	August 1996
Monte Carlo Study of Correlations in Quantum Spin Ladders Greven, M.; Birgeneau, R. J.; Wiese, U. -J. Physical Review Letters, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevLett.77.1865	journal	August 1996
The Anderson-Mott transition Belitz, D.; Kirkpatrick, T. R. Reviews of Modern Physics, Vol. 66, Issue 2 https://doi.org/10.1103/RevModPhys.66.261	journal	April 1994
The density-matrix renormalization group Schollwöck, U. Reviews of Modern Physics, Vol. 77, Issue 1 https://doi.org/10.1103/RevModPhys.77.259	journal	April 2005
Many-body physics with ultracold gases Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.885	journal	July 2008
Highly parallel scanning tunneling microscope based hydrogen depassivation lithography Randall, John N.; Owen, James H. G.; Lake, Joseph Journal of Vacuum Science & Technology B, Vol. 36, Issue 6 https://doi.org/10.1116/1.5047939	journal	November 2018
Electronic Correlation Effects and Superconductivity in Doped Fullerenes Chakravarty, S.; Gelfand, M. P.; Kivelson, S. Science, Vol. 254, Issue 5034 https://doi.org/10.1126/science.254.5034.970	journal	November 1991
Neutron Scattering in Condensed Matter Physics Furrer, Albert; Mesot, Joël; Strässle, Thierry Series on Neutron Techniques and Applications https://doi.org/10.1142/4870	book	May 2009
Three-Leg Antiferromagnetic Heisenberg Ladder with Frustrated Boundary Condition; Ground State Properties Kawano, Kenro; Takahashi, Minoru Journal of the Physical Society of Japan, Vol. 66, Issue 12 https://doi.org/10.1143/JPSJ.66.4001	journal	December 1997
The Doped Two-Chain Hubbard Model Noack, R. M.; White, S. R.; Scalapino, D. J. Europhysics Letters (EPL), Vol. 30, Issue 3 https://doi.org/10.1209/0295-5075/30/3/007	journal	April 1995

Similar Records

Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]

Journal Article · Wed May 30 20:00:00 EDT 2018 · Physical Review. B · OSTI ID:1440816

Orbital currents and charge density waves in a generalized Hubbard ladder

Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Annals of Physics (New York) · OSTI ID:20767003

Frustrated mixed-spin ladders: Evidence for a bond-order wave phase between rung-singlet and Haldane phases

Journal Article · Thu Nov 17 19:00:00 EST 2022 · Physical Review. B · OSTI ID:2421191

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Density matrix renormalization group
Ferrimagnetism
Hubbard model
Magnetic order
Magnetism
Materials Science
Physics
Strongly correlated systems

Magnetic properties of alternating Hubbard ladders

Citation Formats

References (47)

Similar Records

Related Subjects