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The effect of spatially modulated interaction on quantum phase transition in one-dimensional interacting spinless fermion system is theoretically investigated by exact diagonalization and density matrix renormalization group method. Our…

强关联电子 · 物理学 2020-08-27 Zheng-Wei Zuo , Da-wei Kang , Liben Li

Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible…

We engineer topological insulating phases in a fermion-fermion mixture on the honeycomb lattice, without resorting to artificial gauge fields or spin-orbit couplings and considering only local interactions. Essentially, upon integrating out…

强关联电子 · 物理学 2016-05-26 Tianhan Liu , Benoît Douçot , Karyn Le Hur

We unveil a topological phase of interacting fermions on a two-leg ladder of unequal parity orbitals, derived from the experimentally realized double-well lattices by dimension reduction. $Z_2$ topological invariant originates simply from…

量子气体 · 物理学 2013-03-04 Xiaopeng Li , Erhai Zhao , W. Vincent Liu

Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard…

强关联电子 · 物理学 2018-11-27 Tian-sheng Zeng , W. Zhu , D. N. Sheng

We study classification of interacting fermionic symmetry-protected topological (SPT) phases with both rotation symmetry and Abelian internal symmetries in one, two, and three dimensions. By working out this classification, on the one hand,…

强关联电子 · 物理学 2022-06-01 Meng Cheng , Chenjie Wang

Nonlocal interaction between ultracold atoms trapped in optical lattices can give rise to interesting quantum many-body phenomena. However, its realization usually demands unconventional techniques, for example the artificial gauge fields…

量子气体 · 物理学 2023-04-11 Yu-Biao Wu , Zhen Zheng , Xiang-Gang Qiu , Lin Zhuang , Guang-Can Guo , Xu-Bo Zou , Wu-Ming Liu

The interplay between many-body interactions and the kinetic energy gives rise to rich phase diagrams hosting, among others, interaction-induced topological phases. These phases are characterized by both a local order parameter and a global…

In this paper we show how the classification of topological phases in insulators and superconductors is changed by interactions, in the case of 1D systems. We focus on the TR-invariant Majorana chain (BDI symmetry class). While the band…

强关联电子 · 物理学 2013-05-29 Lukasz Fidkowski , Alexei Kitaev

Motivated by recent progress in crystalline symmetry protected topological (SPT) phases of interacting bosons, we study topological crystalline insulators/superconductors (TCIs) of strongly interacting fermions. We construct a class of…

强关联电子 · 物理学 2018-10-31 Alex Rasmussen , Yuan-Ming Lu

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

超导电性 · 物理学 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

We describe in detail a counterexample to the topological classification of free fermion systems. We deal with a one dimensional chain of Majorana fermions with an unusual T symmetry. The topological invariant for the free fermion…

强关联电子 · 物理学 2013-05-29 Lukasz Fidkowski , Alexei Kitaev

We investigate the topological properties of spin polarized fermionic polar molecules loaded in a multi-layer structure with the electric dipole moment polarized to the normal direction. When polar molecules are paired by attractive…

量子气体 · 物理学 2019-05-01 Ching-Yu Huang , Yen-Ting Lin , Hao Lee , Daw-Wei Wang

While free fermion topological crystalline insulators have been largely classified, the analogous problem in the strongly interacting case has been only partially solved. In this paper, we develop a characterization and classification of…

强关联电子 · 物理学 2024-02-26 Naren Manjunath , Vladimir Calvera , Maissam Barkeshli

The Hubbard chain and spinless fermion chain are paradigms of strongly correlated systems, very well understood using Bethe ansatz, Density Matrix Renormalization Group (DMRG) and field theory/renormalization group (RG) methods. They have…

强关联电子 · 物理学 2015-12-18 Armin Rahmani , Xiaoyu Zhu , Marcel Franz , Ian Affleck

The results of numerical simulation of the interaction of topological solitons (2+1)-dimensional O(3) non-linear sigma model in reversed time are presented. At the first stage, models of interactions of topological vortices are developed,…

斑图形成与孤子 · 物理学 2022-11-29 Farhod Shokir

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

介观与纳米尺度物理 · 物理学 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2…

量子气体 · 物理学 2021-11-10 Guo-Qing Zhang , Ling-Zhi Tang , Ling-Feng Zhang , Dan-Wei Zhang , Shi-Liang Zhu

Recently there has been much effort in understanding topological phases of matter with gapless bulk excitations, which are characterized by topological invariants and protected intrinsic boundary states. Here we show that topological…

强关联电子 · 物理学 2015-03-19 Robert Schaffer , Eric Kin-Ho Lee , Yuan-Ming Lu , Yong Baek Kim

Crystalline symmetry and time-reversal symmetry are commonly present in real superconducting materials. However, the topological classification of systems respecting these symmetries, particularly for interacting fermions, remains…

强关联电子 · 物理学 2026-02-25 Yi-Ming Liu , Wei-Qiang Chen , Zheng-Cheng Gu