Biexciton Condensation in Electron-Hole-Doped Hubbard Bilayers: A Sign-Problem-Free Quantum Monte&nbsp;Carlo Study

Huang, Xu-Xin; Claassen, Martin; Huang, Edwin W.; Moritz, Brian; Devereaux, Thomas P.

doi:10.1103/physrevlett.124.077601

Biexciton Condensation in Electron-Hole-Doped Hubbard Bilayers: A Sign-Problem-Free Quantum Monte Carlo Study

Journal Article · Tue Feb 18 23:00:00 EST 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.124.077601· OSTI ID:1591887

^[1]; Claassen, Martin ^[2]; Huang, Edwin W. ^[1]; Moritz, Brian ^[3]; Devereaux, Thomas P. ^[1]

Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Simons Foundation, New York, NY (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of North Dakota, Grand Forks, ND (United States)

The bilayer Hubbard model with electron-hole doping is an ideal platform to study excitonic orders due to suppressed recombination via spatial separation of electrons and holes. However, suffering from the sign problem, previous quantum Monte Carlo studies could not arrive at an unequivocal conclusion regarding the presence of phases with clear signatures of excitonic condensation in bilayer Hubbard models. Here, we develop a determinant quantum Monte Carlo algorithm for the bilayer Hubbard model that is sign-problem-free for equal and opposite doping in the two layers and study excitonic order and charge and spin density modulations as a function of chemical potential difference between the two layers, on-site Coulomb repulsion, and interlayer interaction. In the intermediate coupling regime and in proximity to the SU(4)-symmetric point, we find a biexcitonic condensate phase at finite electron-hole doping, as well as a competing (π, π) charge density wave state. In this study, we extract the Berezinskii-Kosterlitz-Thouless transition temperature from superfluid density and a finite-size scaling analysis of the correlation functions and explain our results in terms of an effective biexcitonic hard-core boson model.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1591887

Alternate ID(s):: OSTI ID: 1601056

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 124; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (51)

Shell model Monte Carlo methods Koonin, S. E.; Dean, D. J.; Langanke, K. Physics Reports, Vol. 278, Issue 1 https://doi.org/10.1016/S0370-1573(96)00017-8	journal	January 1997
Condensation of Excitons in a Trap High, A. A.; Leonard, J. R.; Remeika, M. Nano Letters, Vol. 12, Issue 5 https://doi.org/10.1021/nl300983n	journal	April 2012
Bose–Einstein condensation of excitons in bilayer electron systems Eisenstein, J. P.; MacDonald, A. H. Nature, Vol. 432, Issue 7018 https://doi.org/10.1038/nature03081	journal	December 2004
Excitonic superfluid phase in double bilayer graphene Li, J. I. A.; Taniguchi, T.; Watanabe, K. Nature Physics, Vol. 13, Issue 8 https://doi.org/10.1038/nphys4140	journal	May 2017
Electron-hole Superconductivity (Review) Fil, D. V.; Shevchenko, S. I. Low Temperature Physics, Vol. 44, Issue 9 https://doi.org/10.1063/1.5052674	journal	September 2018
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
The critical properties of the two-dimensional xy model Kosterlitz, J. M. Journal of Physics C: Solid State Physics, Vol. 7, Issue 6 https://doi.org/10.1088/0022-3719/7/6/005	journal	March 1974
Excitonic condensation in systems of strongly correlated electrons Kuneš, Jan Journal of Physics: Condensed Matter, Vol. 27, Issue 33 https://doi.org/10.1088/0953-8984/27/33/333201	journal	July 2015
Phase diagram of a symmetric electron–hole bilayer system: a variational Monte Carlo study Sharma, Rajesh O.; Saini, L. K.; Bahuguna, Bhagwati Prasad Journal of Physics: Condensed Matter, Vol. 30, Issue 18 https://doi.org/10.1088/1361-648X/aab81c	journal	April 2018
Exciton formation in strongly correlated electron-hole systems near the semimetal-semiconductor transition Zenker, B.; Ihle, D.; Bronold, F. X. Journal of Physics: Conference Series, Vol. 529 https://doi.org/10.1088/1742-6596/529/1/012030	journal	August 2014
Bose-Einstein Condensation of Excitons Blatt, John M.; Böer, K. W.; Brandt, Werner Physical Review, Vol. 126, Issue 5 https://doi.org/10.1103/PhysRev.126.1691	journal	June 1962
Relation between the Anderson and Kondo Hamiltonians Schrieffer, J. R.; Wolff, P. A. Physical Review, Vol. 149, Issue 2 https://doi.org/10.1103/PhysRev.149.491	journal	September 1966
Numerical study of the two-dimensional Hubbard model White, S. R.; Scalapino, D. J.; Sugar, R. L. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.506	journal	July 1989
Insulator, metal, or superconductor: The criteria Scalapino, Douglas J.; White, Steven R.; Zhang, Shoucheng Physical Review B, Vol. 47, Issue 13 https://doi.org/10.1103/PhysRevB.47.7995	journal	April 1993
Magnetization process of the spin- 1 2 XXZ models on square and cubic lattices Kohno, Masanori; Takahashi, Minoru Physical Review B, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevB.56.3212	journal	August 1997
Effect of symmetry-breaking perturbations in the one-dimensional SU ( 4 ) spin-orbital model Azaria, P.; Boulat, E.; Lecheminant, P. Physical Review B, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevB.61.12112	journal	May 2000
Critical temperature for the two-dimensional attractive Hubbard model Paiva, Thereza; dos Santos, Raimundo R.; Scalettar, R. T. Physical Review B, Vol. 69, Issue 18 https://doi.org/10.1103/PhysRevB.69.184501	journal	May 2004
Sufficient condition for absence of the sign problem in the fermionic quantum Monte Carlo algorithm Wu, Congjun; Zhang, Shou-Cheng Physical Review B, Vol. 71, Issue 15 https://doi.org/10.1103/PhysRevB.71.155115	journal	April 2005
Magnetic and transport properties of a coupled Hubbard bilayer with electron and hole doping Bouadim, K.; Batrouni, G. G.; Hébert, F. Physical Review B, Vol. 77, Issue 14 https://doi.org/10.1103/PhysRevB.77.144527	journal	April 2008
Analysis of the exciton-exciton interaction in semiconductor quantum wells Schindler, Christoph; Zimmermann, Roland Physical Review B, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevB.78.045313	journal	July 2008
Exciton-exciton interaction and biexciton formation in bilayer systems Lee, R. M.; Drummond, N. D.; Needs, R. J. Physical Review B, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevB.79.125308	journal	March 2009
Excitonic insulator state in the two-orbital Hubbard model: Variational cluster approach Kaneko, T.; Seki, K.; Ohta, Y. Physical Review B, Vol. 85, Issue 16 https://doi.org/10.1103/PhysRevB.85.165135	journal	April 2012
Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model Johnston, S.; Nowadnick, E. A.; Kung, Y. F. Physical Review B, Vol. 87, Issue 23 https://doi.org/10.1103/PhysRevB.87.235133	journal	June 2013
Exact-diagonalization study of exciton condensation in electron bilayers Kaneko, T.; Ejima, S.; Fehske, H. Physical Review B, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevB.88.035312	journal	July 2013
Determinant quantum Monte Carlo study of exciton condensation in the bilayer Hubbard model Rademaker, Louk; Johnston, Steve; Zaanen, Jan Physical Review B, Vol. 88, Issue 23 https://doi.org/10.1103/PhysRevB.88.235115	journal	December 2013
Exciton condensation in strongly correlated electron bilayers Rademaker, Louk; van den Brink, Jeroen; Zaanen, Jan Physical Review B, Vol. 88, Issue 23 https://doi.org/10.1103/PhysRevB.88.235127	journal	December 2013
Phase diagram of exciton condensate in doped two-band Hubbard model Kuneš, Jan Physical Review B, Vol. 90, Issue 23 https://doi.org/10.1103/PhysRevB.90.235140	journal	December 2014
Superfluidity and density order in a bilayer extended Hubbard model Vanhala, Tuomas I.; Baarsma, Jildou E.; Heikkinen, Miikka O. J. Physical Review B, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevB.91.144510	journal	April 2015
Solving the fermion sign problem in quantum Monte Carlo simulations by Majorana representation Li, Zi-Xiang; Jiang, Yi-Fan; Yao, Hong Physical Review B, Vol. 91, Issue 24 https://doi.org/10.1103/PhysRevB.91.241117	journal	June 2015
Charge- 4 e superconductors: A Majorana quantum Monte Carlo study Jiang, Yi-Fan; Li, Zi-Xiang; Kivelson, Steven A. Physical Review B, Vol. 95, Issue 24 https://doi.org/10.1103/PhysRevB.95.241103	journal	June 2017
Excitonic density waves, biexcitons, and orbital-selective pairing in two-orbital correlated chains Yang, Chun; Feiguin, Adrian E. Physical Review B, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevB.98.035128	journal	July 2018
Monte Carlo calculations of coupled boson-fermion systems. I Blankenbecler, R.; Scalapino, D. J.; Sugar, R. L. Physical Review D, Vol. 24, Issue 8 https://doi.org/10.1103/PhysRevD.24.2278	journal	October 1981
Excitons and biexcitons in symmetric electron-hole bilayers Maezono, Ryo; López Ríos, Pablo; Ogawa, Tetsuo Physical Review Letters, Vol. 110, Issue 21 https://doi.org/10.1103/PhysRevLett.110.216407	journal	May 2013
Entanglement of Interacting Fermions in Quantum Monte Carlo Calculations Grover, Tarun Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.130402	journal	September 2013
Majorana Positivity and the Fermion Sign Problem of Quantum Monte Carlo Simulations Wei, Z. C.; Wu, Congjun; Li, Yi Physical Review Letters, Vol. 116, Issue 25 https://doi.org/10.1103/PhysRevLett.116.250601	journal	June 2016
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Universal Jump in the Superfluid Density of Two-Dimensional Superfluids Nelson, David R.; Kosterlitz, J. M. Physical Review Letters, Vol. 39, Issue 19 https://doi.org/10.1103/PhysRevLett.39.1201	journal	November 1977
Two-dimensional negative- U Hubbard model Moreo, A.; Scalapino, D. J. Physical Review Letters, Vol. 66, Issue 7 https://doi.org/10.1103/PhysRevLett.66.946	journal	February 1991
Meron-Cluster Solution of Fermion Sign Problems Chandrasekharan, Shailesh; Wiese, Uwe-Jens Physical Review Letters, Vol. 83, Issue 16 https://doi.org/10.1103/PhysRevLett.83.3116	journal	October 1999
Phase Separation in Supersolids Batrouni, G. G.; Scalettar, R. T. Physical Review Letters, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevLett.84.1599	journal	February 2000
Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions Schmid, Guido; Todo, Synge; Troyer, Matthias Physical Review Letters, Vol. 88, Issue 16 https://doi.org/10.1103/PhysRevLett.88.167208	journal	April 2002
Excitonic Condensation in a Symmetric Electron-Hole Bilayer De Palo, S.; Rapisarda, F.; Senatore, Gaetano Physical Review Letters, Vol. 88, Issue 20 https://doi.org/10.1103/PhysRevLett.88.206401	journal	May 2002
Dynamical Symmetry Enlargement versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model Assaraf, R.; Azaria, P.; Boulat, E. Physical Review Letters, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevLett.93.016407	journal	July 2004
Non-Fermi Liquid at ( 2 + 1 ) D Ferromagnetic Quantum Critical Point Xu, Xiao Yan; Sun, Kai; Schattner, Yoni Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031058	journal	September 2017
Coherent order parameter oscillations in the ground state of the excitonic insulator Ta ₂ NiSe ₅ Werdehausen, Daniel; Takayama, Tomohiro; Höppner, Marc Science Advances, Vol. 4, Issue 3 https://doi.org/10.1126/sciadv.aap8652	journal	March 2018
Sign-Problem-Free Quantum Monte Carlo of the Onset of Antiferromagnetism in Metals Berg, E.; Metlitski, M. A.; Sachdev, S. Science, Vol. 338, Issue 6114 https://doi.org/10.1126/science.1227769	journal	December 2012
Signatures of exciton condensation in a transition metal dichalcogenide Kogar, Anshul; Rak, Melinda S.; Vig, Sean Science, Vol. 358, Issue 6368 https://doi.org/10.1126/science.aam6432	journal	December 2017
Path-Integral Renormalization Group Method for Numerical Study of Strongly Correlated Electron Systems Imada, Masatoshi; Kashima, Tsuyoshi Journal of the Physical Society of Japan, Vol. 69, Issue 9 https://doi.org/10.1143/JPSJ.69.2723	journal	September 2000
Correlations in the low-temperature phase of the two-dimensional XY model Berche, B.; Sanchez, A. I. Fariñas; V., R. Paredes Europhysics Letters (EPL), Vol. 60, Issue 4 https://doi.org/10.1209/epl/i2002-00252-0	journal	November 2002
Introduction to quantum Monte Carlo simulations for fermionic systems Santos, Raimundo R. dos Brazilian Journal of Physics, Vol. 33, Issue 1 https://doi.org/10.1590/S0103-97332003000100003	journal	January 2003
Excitonic Order and Superconductivity in the Two-Orbital Hubbard Model: Variational Cluster Approach Fujiuchi, Ryo; Sugimoto, Koudai; Ohta, Yukinori Journal of the Physical Society of Japan, Vol. 87, Issue 6 https://doi.org/10.7566/JPSJ.87.063705	journal	June 2018

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