Bibliography
- 1
Silas R. Beane, Gianluca Bertaina, Roland C. Farrell, and William R. Marshall. Toward precision Fermi liquid theory in flatland. Phys. Rev. A, 107:043314, Apr 2023. URL: https://link.aps.org/doi/10.1103/PhysRevA.107.043314, arXiv:2212.05177, doi:10.1103/PhysRevA.107.043314.
- 2
R. Jackiw. Delta function potentials in two-dimensional and three-dimensional quantum mechanics. In A. Ali and P. Hoodbhoy, editors, M.A.B. Bég Memorial Volume, 35–53. World Scientific, January 1991.
- 3
Sadhan K. Adhikari. Quantum scattering in two dimensions. American Journal of Physics, 54(4):362–367, 1986. URL: https://doi.org/10.1119/1.14623, doi:10.1119/1.14623.
- 4
S. K. Adhikari, W. G. Gibson, and T. K. Lim. Effective‐range theory in two dimensions. The Journal of Chemical Physics, 85(10):5580–5583, 1986. URL: https://doi.org/10.1063/1.451572, doi:10.1063/1.451572.
- 5
N. N. Khuri, Andre Martin, Jean-Marc Richard, and Tai Tsun Wu. Low-energy potential scattering in two and three dimensions. J. Math. Phys., 50:072105, 2009. arXiv:0812.4054, doi:10.1063/1.3167803.
- 6
Alexander Galea, Tash Zielinski, Stefano Gandolfi, and Alexandros Gezerlis. Fermions in Two Dimensions: Scattering and Many-Body Properties. J. Low Temp. Phys., 189(5-6):451–469, 2017. arXiv:1705.09310, doi:10.1007/s10909-017-1803-1.
- 7
Christopher Körber, Evan Berkowitz, and Thomas Luu. Renormalization of a Contact Interaction on a Lattice. arXiv only, 12 2019. arXiv:1912.04425.
- 8
Jan-Lukas Wynen, Evan Berkowitz, Christopher Körber, Timo A. Lähde, and Thomas Luu. Avoiding Ergodicity Problems in Lattice Discretizations of the Hubbard Model. Phys. Rev. B, 100(7):075141, 2019. arXiv:1812.09268, doi:10.1103/PhysRevB.100.075141.
- 9
C.N. Gilbreth and Y. Alhassid. Stabilizing canonical-ensemble calculations in the auxiliary-field monte carlo method. Computer Physics Communications, 188:1–6, 2015. URL: https://www.sciencedirect.com/science/article/pii/S0010465514003075, doi:https://doi.org/10.1016/j.cpc.2014.09.002.
- 10
Simon Duane, A.D. Kennedy, Brian J. Pendleton, and Duncan Roweth. Hybrid monte carlo. Physics Letters B, 195(2):216–222, 1987. URL: https://www.sciencedirect.com/science/article/pii/037026938791197X, doi:https://doi.org/10.1016/0370-2693(87)91197-X.
- 11
Sam Foreman, Xiao-Yong Jin, and James C. Osborn. LeapfrogLayers: A Trainable Framework for Effective Topological Sampling. PoS, LATTICE2021:508, 2022. arXiv:2112.01582, doi:10.22323/1.396.0508.
- 12
I. P. Omelyan, I. M. Mryglod, and R. Folk. Optimized verlet-like algorithms for molecular dynamics simulations. Phys. Rev. E, 65:056706, May 2002. URL: https://link.aps.org/doi/10.1103/PhysRevE.65.056706, doi:10.1103/PhysRevE.65.056706.
- 13
Stefan Krieg, Thomas Luu, Johann Ostmeyer, Philippos Papaphilippou, and Carsten Urbach. Accelerating Hybrid Monte Carlo simulations of the Hubbard model on the hexagonal lattice. Comput. Phys. Commun., 236:15–25, 2019. arXiv:1804.07195, doi:10.1016/j.cpc.2018.10.008.
- 14
Nicholas Metropolis, Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller. Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6):1087–1092, 1953. URL: https://doi.org/10.1063/1.1699114, arXiv:https://doi.org/10.1063/1.1699114, doi:10.1063/1.1699114.
- 15
W. K. Hastings. Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57(1):97–109, 04 1970. URL: https://doi.org/10.1093/biomet/57.1.97, arXiv:https://academic.oup.com/biomet/article-pdf/57/1/97/23940249/57-1-97.pdf, doi:10.1093/biomet/57.1.97.
- 16
Ulli Wolff. Monte Carlo errors with less errors. Comput. Phys. Commun., 156:143–153, 2004. [Erratum: Comput.Phys.Commun. 176, 383 (2007)]. arXiv:hep-lat/0306017, doi:10.1016/S0010-4655(03)00467-3.
- 17
Hao Shi, Simone Chiesa, and Shiwei Zhang. Ground-state properties of strongly interacting fermi gases in two dimensions. Phys. Rev. A, 92:033603, Sep 2015. URL: https://link.aps.org/doi/10.1103/PhysRevA.92.033603, doi:10.1103/PhysRevA.92.033603.
- 18
Yuan-Yao He, Hao Shi, and Shiwei Zhang. Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems. Phys. Rev. Lett., 123:136402, Sep 2019. URL: https://link.aps.org/doi/10.1103/PhysRevLett.123.136402, doi:10.1103/PhysRevLett.123.136402.
- 19
Yuan-Yao He, Hao Shi, and Shiwei Zhang. Precision many-body study of the Berezinskii-Kosterlitz-Thouless transition and temperature-dependent properties in the two-dimensional Fermi gas. Phys. Rev. Lett., 129:076403, Aug 2022. URL: https://link.aps.org/doi/10.1103/PhysRevLett.129.076403, doi:10.1103/PhysRevLett.129.076403.
- 20
G. Bertaina and S. Giorgini. Bcs-bec crossover in a two-dimensional fermi gas. Phys. Rev. Lett., 106:110403, Mar 2011. URL: https://link.aps.org/doi/10.1103/PhysRevLett.106.110403, doi:10.1103/PhysRevLett.106.110403.
- 21
Gianluca Bertaina. Two-dimensional short-range interacting attractive and repulsive fermi gases at zero temperature. The European Physical Journal Special Topics, 217(1):153–162, 2013.
- 22
I. Boettcher, L. Bayha, D. Kedar, P. A. Murthy, M. Neidig, M. G. Ries, A. N. Wenz, G. Zürn, S. Jochim, and T. Enss. Equation of state of ultracold fermions in the 2d bec-bcs crossover region. Phys. Rev. Lett., 116:045303, Jan 2016. URL: https://link.aps.org/doi/10.1103/PhysRevLett.116.045303, doi:10.1103/PhysRevLett.116.045303.
- 23
S. Pilati, G. Orso, and G. Bertaina. Quantum Monte Carlo simulations of two-dimensional repulsive Fermi gases with population imbalance. Phys. Rev. A, 103:063314, Jun 2021. URL: https://link.aps.org/doi/10.1103/PhysRevA.103.063314, arXiv:2103.13251, doi:10.1103/PhysRevA.103.063314.
- 24
Alexander Galea, Hillary Dawkins, Stefano Gandolfi, and Alexandros Gezerlis. Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases. Phys. Rev. A, 93(2):023602, 2016. arXiv:1511.05123, doi:10.1103/PhysRevA.93.023602.