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We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show…

量子气体 · 物理学 2025-08-18 Rajashri Parida , Diptiman Sen , Tapan Mishra

We review a recent approach for the simulation of many-body interacting systems based on an efficient generalization of the Lanczos method for Quantum Monte Carlo simulations. This technique allows to perform systematic corrections to a…

强关联电子 · 物理学 2007-05-23 Sandro Sorella

A definition of topological phases of density matrices is presented. The topological invariants in case of both noninteracting and interacting systems are extended to nonzero temperatures. Influence of electron interactions on topological…

强关联电子 · 物理学 2015-09-03 Damian Zdulski , Krzysztof Byczuk

Time-reversal symmetric topological insulator is a novel state of matter that a bulk-insulating state carries dissipationless spin transport along the surfaces, embedded by the $Z_2$ topological invariant. In the noninteracting limit, this…

强关联电子 · 物理学 2015-03-12 Hsin-Hua Lai , Hsiang-Hsuan Hung

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

介观与纳米尺度物理 · 物理学 2025-03-04 Tanay Nag , Saptarshi Mandal

We investigate the Hubbard model on the honeycomb lattice with intrinsic spin orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions. Applying a combination of Hartree-Fock theory,…

强关联电子 · 物理学 2015-03-13 Stephan Rachel , Karyn Le Hur

We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice. The interplay between the superlattice potential depth $\Delta/t$ and the onsite interaction $U/t$ gives rise to…

量子气体 · 物理学 2025-06-10 Wei-Wei Wang , Jin Yang , Jian-Ping Lv , Chao Zhang

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine…

介观与纳米尺度物理 · 物理学 2020-03-24 Grazia Salerno , Giandomenico Palumbo , Nathan Goldman , Marco Di Liberto

We investigate the phase diagram of spinless fermions with nearest and next-nearest neighbour density-density interactions on the honeycomb lattice at half-filling. Using Exact Diagonalization techniques of the full Hamiltonian and…

强关联电子 · 物理学 2015-08-28 Sylvain Capponi , Andreas M. Läuchli

We investigate the competition between the spin-orbit interaction of itinerant electrons and their Kondo coupling with local moments densely distributed on the honeycomb lattice. We find that the model at half-filling displays a quantum…

强关联电子 · 物理学 2013-08-09 Xiao-Yong Feng , Jianhui Dai , Chung-Hou Chung , Qimiao Si

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied…

强关联电子 · 物理学 2021-11-23 Tian-Cheng Yi , Shijie Hu , Eduardo V. Castro , Rubem Mondaini

Topological phase transitions in free fermion systems can be characterized by closing of single-particle gap and change in topological invariants. However, in the presence of electronic interactions, topological phase transitions are more…

强关联电子 · 物理学 2016-06-08 Yuan-Yao He , Han-Qing Wu , Zi Yang Meng , Zhong-Yi Lu

We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a one-dimensional optical superlattice. We show…

量子气体 · 物理学 2020-02-17 Yu-Lian Chen , Guo-Qing Zhang , Dan-Wei Zhang , Shi-Liang Zhu

We have simulated a half-filled $1D$ $p$-wave periodic Anderson model with numerically exact projector quantum Monte Carlo technique, and the system is indeed located in the Haldane-like state as detected in previous works on the $p$-wave…

强关联电子 · 物理学 2017-08-01 Yin Zhong , Yu Liu , Hong-Gang Luo

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

介观与纳米尺度物理 · 物理学 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

We develop a stochastic description of the topological properties in an interacting Chern insulator. We confirm the Mott transition's first-order nature in the interacting Haldane model on the honeycomb geometry, from a mean-field…

强关联电子 · 物理学 2021-01-20 Philipp W. Klein , Adolfo G. Grushin , Karyn Le Hur

We consider extended Hubbard models with repulsive interactions on a Honeycomb lattice and the transitions from the semi-metal phase at half-filling to Mott insulating phases. In particular, due to the frustrating nature of the…

介观与纳米尺度物理 · 物理学 2009-11-13 S. Raghu , Xiao-Liang Qi , C. Honerkamp , Shou-Cheng Zhang

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

强关联电子 · 物理学 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…

We investigate the nonequilibrium dynamics of the spinless Haldane model with nearest-neighbor interactions on the honeycomb lattice by employing an unbiased numerical method. In this system, a first-order transition from the Chern…

强关联电子 · 物理学 2021-09-29 Can Shao , P. D. Sacramento , Rubem Mondaini