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- W3033804589 abstract "The realization of antiferromagnetic (AF) correlations in ultracold fermionic atoms on an optical lattice is a significant achievement. Experiments have been carried out in one, two, and three dimensions, and have also studied anisotropic configurations with stronger tunneling in some lattice directions. Such anisotropy is relevant to the physics of cuprate superconductors and other strongly correlated materials. Moreover, this anisotropy might be harnessed to enhance AF order. Here we numerically investigate, using Determinant Quantum Monte Carlo, a simple realization of anisotropy in the 3D Hubbard model in which the tunneling between planes, $t_perp$, is unequal to the intraplane tunneling $t$. This model interpolates between the three-dimensional isotropic ($t_perp = t$) and two-dimensional ($t_perp =0$) systems. We show that at fixed interaction strength to tunneling ratio ($U/t$), anisotropy can enhance the magnetic structure factor relative to both 2D and 3D results. However, this enhancement occurs at interaction strengths below those for which the N'eel temperature $T_{rm Nacute{e}el}$ is largest, in such a way that the structure factor cannot be made to exceed its value in isotropic 3D systems at the optimal $U/t$. We characterize the 2D-3D crossover in terms of the magnetic structure factor, real space spin correlations, number of doubly-occupied sites, and thermodynamic observables. An interesting implication of our results stems from the entropy's dependence on anisotropy. As the system evolves from 3D to 2D, the entropy at a fixed temperature increases. Correspondingly, at fixed entropy, the temperature will decrease going from 3D to 2D. This suggests a cooling protocol in which the dimensionality is adiabatically changed from 3D to 2D." @default.
- W3033804589 created "2020-06-12" @default.
- W3033804589 creator A5002310019 @default.
- W3033804589 creator A5013912096 @default.
- W3033804589 creator A5015679073 @default.
- W3033804589 creator A5028549002 @default.
- W3033804589 creator A5036242744 @default.
- W3033804589 creator A5059171328 @default.
- W3033804589 date "2020-09-29" @default.
- W3033804589 modified "2023-10-12" @default.
- W3033804589 title "Thermodynamics and magnetism in the two-dimensional to three-dimensional crossover of the Hubbard model" @default.
- W3033804589 cites W1484203288 @default.
- W3033804589 cites W1514715786 @default.
- W3033804589 cites W1561748652 @default.
- W3033804589 cites W1610240012 @default.
- W3033804589 cites W1806616717 @default.
- W3033804589 cites W1967205858 @default.
- W3033804589 cites W1969336814 @default.
- W3033804589 cites W1972532088 @default.
- W3033804589 cites W1986769666 @default.
- W3033804589 cites W1987612825 @default.
- W3033804589 cites W1989709650 @default.
- W3033804589 cites W1991800363 @default.
- W3033804589 cites W1993194497 @default.
- W3033804589 cites W1995140877 @default.
- W3033804589 cites W1999287981 @default.
- W3033804589 cites W2006051991 @default.
- W3033804589 cites W2012081753 @default.
- W3033804589 cites W2018427770 @default.
- W3033804589 cites W2029204819 @default.
- W3033804589 cites W2029960903 @default.
- W3033804589 cites W2031636151 @default.
- W3033804589 cites W2033878800 @default.
- W3033804589 cites W2034006854 @default.
- W3033804589 cites W2035383975 @default.
- W3033804589 cites W2035967444 @default.
- W3033804589 cites W2038455326 @default.
- W3033804589 cites W2038790528 @default.
- W3033804589 cites W2047962602 @default.
- W3033804589 cites W2048547816 @default.
- W3033804589 cites W2049102819 @default.
- W3033804589 cites W2049961383 @default.
- W3033804589 cites W2050691245 @default.
- W3033804589 cites W2051029549 @default.
- W3033804589 cites W2056511881 @default.
- W3033804589 cites W2058804204 @default.
- W3033804589 cites W2060308565 @default.
- W3033804589 cites W2065240517 @default.
- W3033804589 cites W2067825331 @default.
- W3033804589 cites W2070358122 @default.
- W3033804589 cites W2073574320 @default.
- W3033804589 cites W2080640331 @default.
- W3033804589 cites W2087449785 @default.
- W3033804589 cites W2094180306 @default.
- W3033804589 cites W2095340206 @default.
- W3033804589 cites W2101817811 @default.
- W3033804589 cites W2105221346 @default.
- W3033804589 cites W2106170850 @default.
- W3033804589 cites W2116090472 @default.
- W3033804589 cites W2132778344 @default.
- W3033804589 cites W2136112092 @default.
- W3033804589 cites W2151392186 @default.
- W3033804589 cites W2163204379 @default.
- W3033804589 cites W2167977891 @default.
- W3033804589 cites W2172568165 @default.
- W3033804589 cites W2179503675 @default.
- W3033804589 cites W2243618533 @default.
- W3033804589 cites W2261108647 @default.
- W3033804589 cites W2276595334 @default.
- W3033804589 cites W2290313738 @default.
- W3033804589 cites W2301524134 @default.
- W3033804589 cites W2353349651 @default.
- W3033804589 cites W2438200359 @default.
- W3033804589 cites W2519102568 @default.
- W3033804589 cites W2612879532 @default.
- W3033804589 cites W2614689190 @default.
- W3033804589 cites W2618411197 @default.
- W3033804589 cites W2625979356 @default.
- W3033804589 cites W2728871493 @default.
- W3033804589 cites W2752346050 @default.
- W3033804589 cites W2758914079 @default.
- W3033804589 cites W2761856013 @default.
- W3033804589 cites W2779842081 @default.
- W3033804589 cites W2788712136 @default.
- W3033804589 cites W2806667241 @default.
- W3033804589 cites W2886123166 @default.
- W3033804589 cites W2891384293 @default.
- W3033804589 cites W2902689649 @default.
- W3033804589 cites W3027129360 @default.
- W3033804589 cites W3054876477 @default.
- W3033804589 cites W3099410964 @default.
- W3033804589 cites W3099723983 @default.
- W3033804589 cites W3100601456 @default.
- W3033804589 cites W3101352999 @default.
- W3033804589 cites W3101411880 @default.
- W3033804589 cites W3103241069 @default.
- W3033804589 cites W3103827175 @default.
- W3033804589 cites W3104616080 @default.
- W3033804589 cites W3104707181 @default.
- W3033804589 cites W3105364241 @default.