In: Physical Review B, 2020, vol. 101, no. 19, p. 195117
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In: Physical Review B, 2019, vol. 99, no. 23, p. 235152
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In: Physical Review B, 2017, vol. 96, no. 3, p. 035116
A repulsive Hubbard model with both spin-asymmetric hopping (t↑≠t↓) and a staggered potential (of strength Δ) is studied in one dimension. The model is a compound of the mass-imbalanced (t↑≠t↓,Δ=0) and ionic (t↑=t↓,Δ>0) Hubbard models, and may be realized by cold atoms in engineered optical lattices. We use mostly mean-field theory to determine the phases and phase transitions...
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In: Physical Review B, 2014, vol. 89, no. 13, p. 134521
The exact ground state of the reduced BCS Hamiltonian is investigated numerically for large system sizes and compared with the BCS ansatz. A “canonical” order parameter is found to be equal to the largest eigenvalue of Yang's reduced density matrix in the thermodynamic limit. Moreover, the limiting values of the exact analysis agree with those obtained for the BCS ground state. Exact results...
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In: Physical Review A, 2014, vol. 88, no. 5, p. 053801
We study the dynamics of a driven Dicke model, where the collective spin is rotated with a constant velocity around a fixed axis. The time evolution of the mean photon number and of the atomic inversion is calculated using, on the one hand, a numerical technique for the quantum dynamics of a small number of two-level atoms and, on the other hand, time-dependent mean-field theory for the limit of...
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In: Physical Review B, 2013, vol. 88, no. 10, p. 104110
We have measured the temperature dependence of the direct band gap Eg in SrTiO₃ and BaTiO₃ and related materials with quantum-paraelectric and ferroelectric properties using optical spectroscopy. We show that Eg exhibits an anomalous temperature dependence with pronounced changes in the vicinity of the ferroelectric transition that can be...
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In: Annalen der Physik, 2012, vol. 523, no. 8-9, p. 724–731
Variational wave functions are very useful for describing the panoply of ground states found in interacting many-electron systems. Some particular trial states are “adiabatically” linked to a reference state, from which they borrow the essential properties. A prominent example is the Gutzwiller ansatz, where one starts with the filled Fermi sea. A simple soluble example, the anisotropic XY...
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In: Journal of Superconductivity and Novel Magnetism, 2011, vol. 24, no. 3, p. 1157-1159
The two-dimensional repulsive Hubbard model has been investigated by a variety of methods, from small to large U. Superconductivity with d-wave symmetry is consistently found close to half filling. After a brief review of the various methods a variational many-electron state is discussed in more detail. This trial state is a natural extension of the Gutzwiller ansatz and provides a...
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In: New Journal of Physics, 2009, vol. 11, p. 075010
Recent refinements of analytical and numerical methods have improved our understanding of the ground-state phase diagram of the two-dimensional (2D) Hubbard model. Here, we focus on variational approaches, but comparisons with both quantum cluster and Gaussian Monte Carlo methods are also made. Our own ansatz leads to an antiferromagnetic ground state at half filling with a slightly reduced...
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In: Physical Review B, 2009, vol. 79, no. 16, p. 165109
We investigate the neutral-to-ionic insulator-insulator transition in one-dimensional materials by treating a strong-coupling effective model based on the ionic Hubbard model using the density-matrix renormalization group and finite-size scaling. The effective model, formulated in a spin-one representation, contains a single parameter. We carry out an extensive finite-size scaling analysis of the...
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