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Thakur T, Szafran B. Nagaoka ferromagnetism in an array of phosphorene quantum dots. Sci Rep 2023; 13:18796. [PMID: 37914768 PMCID: PMC10620429 DOI: 10.1038/s41598-023-45860-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2023] [Accepted: 10/25/2023] [Indexed: 11/03/2023] Open
Abstract
We consider an array of four quantum dots defined in phosphorene containing three excess electrons, i.e., in the conditions of near half filling when itinerant Nagaoka ferromagnetism is expected to appear in a square array with isotropic interdot hopping. The interdot hopping in the array arranged in a square inherits the anisotropy from the form of the phosphorene conduction band. We apply the configuration interaction method for discussion of the appearance and stability of the spin-polarized ground state and discuss the compensation of the effective mass anisotropy by the geometry of the quantum dot array. Our study shows strong stability of Nagaoka ferromagnetism for optimized geometry of the array, with the Nagaoka gap as large as ∼ 230 µeV. A phase diagram for the ground-state spin ordering versus the geometric parameters of the array is presented. We study the suppression of the ferromagnetism in a transition of the [Formula: see text] array to a quasi-1D chain and indicate that the shift of one of the quantum dots away from the array center is enough to transform the system to a quantum dot chain. A shift in the zigzag crystal direction induces the low-spin ground state more effectively than a shift along the armchair direction. We also discuss the robustness of the spin ordering against detuning one of the dots. The ferromagnetic ground-state survives as long as the detuning is not large enough to trap one of the electrons within a single quantum dot (for positive detuning) or remove one of the quantum dots of the accessible energy range (for negative detuning).
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Affiliation(s)
- Tanmay Thakur
- Faculty of Physics and Applied Computer Science, AGH University of Krakow, al. Mickiewicza 30, 30-059, Kraków, Poland
| | - Bartłomiej Szafran
- Faculty of Physics and Applied Computer Science, AGH University of Krakow, al. Mickiewicza 30, 30-059, Kraków, Poland.
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Klein DJ, Ferrer M, Elguero J, Bytautas L, Oliva-Enrich JM. Hückeloid model for planar boranes. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02752-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Huang T, Zhang L, Ma T. Antiferromagnetically ordered Mott insulator and d+id superconductivity in twisted bilayer graphene: a quantum Monte Carlo study. Sci Bull (Beijing) 2019; 64:310-314. [PMID: 36659594 DOI: 10.1016/j.scib.2019.01.026] [Citation(s) in RCA: 88] [Impact Index Per Article: 17.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2019] [Revised: 01/29/2019] [Accepted: 01/30/2019] [Indexed: 01/21/2023]
Abstract
Using exact quantum Monte Carlo method, we examine the recent novel electronic states seen in magic-angle graphene superlattices. From the Hubbard model on a double-layer honeycomb lattice with a rotation angle θ=1.08°, we reveal that an antiferromagnetically ordered Mott insulator emerges beyond a critical Uc at half filling, and with a small doping, the pairing with d+id symmetry dominates over other pairings at low temperature. The effective d+id pairing interaction strongly increases as the on-site Coulomb interaction increases, indicating that the superconductivity is driven by electron-electron correlation. Our non-biased numerical results demonstrate that the twisted bilayer graphene shares the similar superconducting mechanism of high temperature superconductors, which is a new and ideal platform for further investigating the strongly correlated phenomena.
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Affiliation(s)
- Tongyun Huang
- Department of Physics, Beijing Normal University, Beijing 100875, China
| | - Lufeng Zhang
- Department of Physics, Beijing Normal University, Beijing 100875, China
| | - Tianxing Ma
- Department of Physics, Beijing Normal University, Beijing 100875, China.
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Corboz P, Rice TM, Troyer M. Competing states in the t-J model: uniform D-wave state versus stripe state. PHYSICAL REVIEW LETTERS 2014; 113:046402. [PMID: 25105638 DOI: 10.1103/physrevlett.113.046402] [Citation(s) in RCA: 61] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/18/2014] [Indexed: 06/03/2023]
Abstract
Variational studies of the t-J model on the square lattice based on infinite projected-entangled pair states confirm an extremely close competition between a uniform d-wave superconducting state and different stripe states. The site-centered stripe with an in-phase d-wave order has an equal or only slightly lower energy than the stripe with antiphase d-wave order. The optimal stripe filling is not constant but increases with J/t. A nematic anisotropy reduces the pairing amplitude and the energies of stripe phases are lowered relative to the uniform state with increasing nematicity.
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Affiliation(s)
- Philippe Corboz
- Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland and Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485, 1090 GL Amsterdam, Netherlands
| | - T M Rice
- Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
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Yunoki S, Dagotto E, Sorella S. Role of strong correlation in the recent angle-resolved photoemission spectroscopy experiments on cuprate superconductors. PHYSICAL REVIEW LETTERS 2005; 94:037001. [PMID: 15698307 DOI: 10.1103/physrevlett.94.037001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2004] [Indexed: 05/24/2023]
Abstract
Motivated by recent photoemission experiments on cuprates, the low-lying excitations of a strongly correlated superconducting state are studied numerically. It is observed that along the nodal direction these low-lying one-particle excitations show a linear momentum dependence for a wide range of excitation energies and, thus, they do not present a kinklike structure. The nodal Fermi velocity v(F), as well as other observables, are systematically evaluated directly from the calculated dispersions, and they are found to compare well with experiments. It is argued that the parameter dependence of v(F) is quantitatively explained by a simple picture of a renormalized Fermi velocity.
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Affiliation(s)
- S Yunoki
- Istituto Nazionale per la Fisica della Materia and International School for Advanced Studies, via Beirut 4, 34014 Trieste, Italy
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Sorella S, Martins GB, Becca F, Gazza C, Capriotti L, Parola A, Dagotto E. Superconductivity in the two-dimensional t-J model. PHYSICAL REVIEW LETTERS 2002; 88:117002. [PMID: 11909422 DOI: 10.1103/physrevlett.88.117002] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2001] [Indexed: 05/23/2023]
Abstract
Using computational techniques, it is shown that pairing is a robust property of hole-doped antiferromagnetic insulators. In one dimension and for two-leg ladder systems, a BCS-like variational wave function with long-bond spin singlets and a Jastrow factor provides an accurate representation of the ground state of the t-J model, even though strong quantum fluctuations destroy the off-diagonal superconducting long-range order in this case. However, in two dimensions it is argued-and numerically confirmed using several techniques, especially quantum Monte Carlo-that quantum fluctuations are not strong enough to suppress superconductivity.
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Affiliation(s)
- S Sorella
- Istituto Nazionale per la Fisica della Materia, and SISSA, I-34014 Trieste, Italy
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Fehrenbacher R. Coupling to Optical Phonons in the One-Dimensional t-J Model: Effects on the Superconducting Fluctuations and Phase Separation. PHYSICAL REVIEW LETTERS 1996; 77:2288-2291. [PMID: 10061906 DOI: 10.1103/physrevlett.77.2288] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Zhu JX, Wang ZD, Tang HX. Bound states and Josephson current in mesoscopic s-wave superconductor-normal-metal-d-wave superconductor junctions. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:7354-7359. [PMID: 9984358 DOI: 10.1103/physrevb.54.7354] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Riera J, Koval S, Poilblanc D, Pantigny F. Pair breaking by impurities in the two-dimensional t-J model. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:7441-7444. [PMID: 9984369 DOI: 10.1103/physrevb.54.7441] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Simón ME, Aligia AA, Batista CD, Gagliano ER, Lema F. Excitons in insulating cuprates. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R3780-R3783. [PMID: 9986371 DOI: 10.1103/physrevb.54.r3780] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Nazarenko A, Moreo A, Dagotto E, Riera J. dx2-y2 superconductivity in a model of correlated fermions. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R768-R771. [PMID: 9985430 DOI: 10.1103/physrevb.54.r768] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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12
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Kuroki K, Aoki H. Quantum Monte Carlo evidence for superconductivity in the three-band hubbard Model in Two Dimensions. PHYSICAL REVIEW LETTERS 1996; 76:4400-4403. [PMID: 10061280 DOI: 10.1103/physrevlett.76.4400] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Simón ME, Aligia AA. Phase separation and valence instabilities in cuprate superconductors: Effective one-band-model approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:15327-15334. [PMID: 9983331 DOI: 10.1103/physrevb.53.15327] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Coffey D, Coffey L. Quasiparticle lifetimes and signatures of the superconductor order-parameter symmetry in phonon linewidths. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:15292-15299. [PMID: 9983326 DOI: 10.1103/physrevb.53.15292] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Béal-Monod MT, Maki K. Anisotropic superconductivity: (s+d)-wave model, (d+s)-wave model and the effect of normal impurities. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:5775-5794. [PMID: 9984185 DOI: 10.1103/physrevb.53.5775] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dobry A, Greco A, Koval S, Riera J. Exact diagonalization study of the two-dimensional t-J-Holstein model. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:13722-13725. [PMID: 9980573 DOI: 10.1103/physrevb.52.13722] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Poilblanc D. Phase diagram of the two-dimensional t-J model at low doping. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:9201-9204. [PMID: 9979960 DOI: 10.1103/physrevb.52.9201] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Poilblanc D, Scalapino DJ, Hanke W. Spin and charge modes of the t-J ladder. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:6796-6800. [PMID: 9981908 DOI: 10.1103/physrevb.52.6796] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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19
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Biagini M. High-Tc superconductivity of iodine-intercalated Bi2Sr2CaCu2Ox: An interlayer-coupling model. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:7715-7719. [PMID: 9979717 DOI: 10.1103/physrevb.52.7715] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Shi Y. Constraints on pairings in the Hubbard model. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:16619-16626. [PMID: 9978665 DOI: 10.1103/physrevb.51.16619] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Eder R, Ohta Y. Spin and charge dynamics of the two-dimensional t-J model at intermediate electron densities: Absence of spin-charge separation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:11683-11689. [PMID: 9977905 DOI: 10.1103/physrevb.51.11683] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Haas S, Dagotto E, Nazarenko A, Riera J. Liaison between superconductivity and phase separation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:5989-5993. [PMID: 9979514 DOI: 10.1103/physrevb.51.5989] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dagotto E, Nazarenko A, Moreo A. Antiferromagnetic and van Hove scenarios for the cuprates: Taking the best of both worlds. PHYSICAL REVIEW LETTERS 1995; 74:310-313. [PMID: 10058356 DOI: 10.1103/physrevlett.74.310] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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24
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van Dongen PGJ. Phase Separation in the Extended Hubbard Model at Weak Coupling. PHYSICAL REVIEW LETTERS 1995; 74:182-185. [PMID: 10057729 DOI: 10.1103/physrevlett.74.182] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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25
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Assaad FF, Hanke W, Scalapino DJ. Temperature derivative of the superfluid density and flux quantization as criteria for superconductivity in two-dimensional Hubbard models. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:12835-12850. [PMID: 9975452 DOI: 10.1103/physrevb.50.12835] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Tikofsky AM, Laughlin RB. Response function of the t-J model calculated using anyon techniques. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:10165-10189. [PMID: 9975101 DOI: 10.1103/physrevb.50.10165] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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27
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Riera J, Dagotto E. Superconductivity in the multiband Hubbard model with long-range Coulomb repulsion. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:3215-3220. [PMID: 9976570 DOI: 10.1103/physrevb.50.3215] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ohta Y, Shimozato T, Eder R, Maekawa S. Bogoliubov quasiparticle excitations in the two-dimensional t-J model. PHYSICAL REVIEW LETTERS 1994; 73:324-327. [PMID: 10057141 DOI: 10.1103/physrevlett.73.324] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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29
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Batista CD, Aligia AA. Effect of the Cu-Cu superexchange on the stability of Zhang-Rice singlets. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:16048-16051. [PMID: 10010746 DOI: 10.1103/physrevb.49.16048] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Prelovsek P, Sega I. t-Jz model on the Cayley tree and the square lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:15241-15247. [PMID: 10010632 DOI: 10.1103/physrevb.49.15241] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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31
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Poilblanc D, Riera J, Dagotto E. d-wave bound state of holes in an antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:12318-12321. [PMID: 10010119 DOI: 10.1103/physrevb.49.12318] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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32
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Hu CR. Midgap surface states as a novel signature for dxa2-xb2-wave superconductivity. PHYSICAL REVIEW LETTERS 1994; 72:1526-1529. [PMID: 10055631 DOI: 10.1103/physrevlett.72.1526] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Riera JA. Phase separation and pairing in coupled chains and planes. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:3629-3632. [PMID: 10011242 DOI: 10.1103/physrevb.49.3629] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dagotto E, Riera J, Chen YC, Moreo A, Nazarenko A, Alcaraz F, Ortolani F. Superconductivity near phase separation in models of correlated electrons. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:3548-3565. [PMID: 10011223 DOI: 10.1103/physrevb.49.3548] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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35
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Fortunelli A, Painelli A. Interacting electrons in the solid state: the role of orbital relaxation. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)85657-a] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Riera J, Dagotto E. Cluster diagonalization in systematically expanded Hilbert spaces: Application to models of correlated electrons. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:9515-9523. [PMID: 10007193 DOI: 10.1103/physrevb.48.9515] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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37
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Chen C. Superconductivity in the fcc negative-U Hubbard model: From two to three dimensions. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:6683-6686. [PMID: 10009232 DOI: 10.1103/physrevb.48.6683] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Troyer M, Tsunetsugu H, Rice TM, Riera J, Dagotto E. Spin gap and superconductivity in the one-dimensional t-J model with Coulomb repulsion. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:4002-4013. [PMID: 10008850 DOI: 10.1103/physrevb.48.4002] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Moreo A. Magnetic susceptibility of the two-dimensional Hubbard model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:3380-3382. [PMID: 10008766 DOI: 10.1103/physrevb.48.3380] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Uhrig GS, Vlaming R. Inhibition of phase separation and appearance of new phases for interacting spinless fermions. PHYSICAL REVIEW LETTERS 1993; 71:271-274. [PMID: 10054907 DOI: 10.1103/physrevlett.71.271] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Riera J, Dagotto E. Many-body basis-set reduction applied to the two-dimensional t-Jz model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15346-15349. [PMID: 10005923 DOI: 10.1103/physrevb.47.15346] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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