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We study a two-band model of fermions in a 1d chain with an antisymmetric hybridization that breaks inversion symmetry. We find that for certain values of its parameters, the $sp$-chain maps formally into a $p$-wave superconducting chain,…

Superconductivity · Physics 2015-06-19 Mucio A. Continentino , Heron Caldas , David Nozadze , Nandini Trivedi

The importance of models with an exact solution for the study of materials with non-trivial topological properties has been extensively demonstrated. Among these, the Kitaev model of a one-dimensional $p$-wave superconductor plays a guiding…

Strongly Correlated Electrons · Physics 2015-11-10 T. O. Puel , P. D. Sacramento , M. A. Continentino

The topological properties of periodically driven many-body systems often have no static analogs and defy a simple description based on the effective Hamiltonian. To explore the emergent edge modes in driven p-wave superconductors in two…

Superconductivity · Physics 2016-10-19 Erhai Zhao

Modeling the spin-triplet superconductor Sr2RuO4 through a three-orbital tight-binding model we investigate topological properties and edge states assuming chiral p-wave pairing. In concordance with experiments the three Fermi surfaces…

Superconductivity · Physics 2013-10-16 Yoshiki Imai , Katsunori Wakabayashi , Manfred Sigrist

We show that a large class of two-dimensional spinless fermion models exhibit topological superconducting phases characterized by a non-zero Chern number. More specifically, we consider a generic one-band Hamiltonian of spinless fermions…

Strongly Correlated Electrons · Physics 2010-01-27 Meng Cheng , Kai Sun , Victor Galitski , S. Das Sarma

We numerically investigate the ground state of the extended $t$-$J$ Hamiltonian with periodic local modulations in one dimension by using the density-matrix renormalization group method. Examining charge and spin excitation gaps, as well as…

Strongly Correlated Electrons · Physics 2023-07-12 Yong-Feng Yang , Jing Chen , Chen Cheng , Hong-Gang Luo

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Arghya Sil , Asim Kumar Ghosh

We study the two-band model of spinless fermions in one dimension for weak repulsive interactions. In this case, the model is equivalent to the weakly interacting spinless two-leg ladder. We obtain analytic expressions for the…

Strongly Correlated Electrons · Physics 2009-10-31 Urs Ledermann , Karyn Le Hur

We investigate the effect of introducing nearest-neighbor $p$-wave superconducting pairing to both the static and kicked extended Harper model with two periodic phase parameters acting as artificial dimensions to simulate three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2017-02-24 Huaiqiang Wang , Mengnan Chen , Raditya Weda Bomantara , Jiangbin Gong , Dingyu Xing

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a 1D p-wave superconductor: those involving (i) longer range hopping and superconductivity and (ii) inhomogeneous…

Superconductivity · Physics 2013-10-08 Wade DeGottardi , Manisha Thakurathi , Smitha Vishveshwara , Diptiman Sen

We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum…

Superconductivity · Physics 2019-03-22 Kunliang Zhang , Peng Wang , Zhi Song

We theoretically study a one-dimensional quasi-periodic Fermi system with topological $p$-wave superfluidity, which can be deduced from a topologically non-trivial tight-binding model on the square lattice in a uniform magnetic field and…

Quantum Gases · Physics 2016-03-23 Jun Wang , Xia-Ji Liu , Gao Xianlong , Hui Hu

Motivated by exploring the effect of interactions on Chern insulators, and by recent experiments realizing topological bands for ultracold atoms in synthetic gauge fields, we study the honeycomb lattice Haldane-Hubbard model of spin-$1/2$…

Strongly Correlated Electrons · Physics 2016-03-08 V. S. Arun , R. Sohal , C. Hickey , A. Paramekanti

We present a detailed study of the gap symmetry and the quasiparticle wave function topology in two-dimensional superconductors without inversion center. The strong spin-orbit coupling of electrons with the crystal lattice makes it…

Superconductivity · Physics 2015-12-09 K. V. Samokhin

Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

Quantum Physics · Physics 2026-04-28 Rishabh Jha

The topological characteristics of the $p$-wave Kitaev chains on a square lattice with nearest-neighbor and next-nearest-neighbor inter-chains hopping and pairing are investigated. Besides gapless exact zero-energy modes, this model…

Other Condensed Matter · Physics 2024-10-08 S. Srinidhi , Aayushi Agrawal , Jayendra N. Bandyopadhyay

We study the phase diagram of the Hubbard model in the weak-coupling limit for coexisting spin-density-wave order and spin-fluctuation-mediated superconductivity. Both longitudinal and transverse spin fluctuations contribute significantly…

Superconductivity · Physics 2016-06-03 A. T. Roemer , I. Eremin , P. J. Hirschfeld , B. M. Andersen

In this letter we present, in a number conserving framework, a model of interacting fermions in a two-wire geometry supporting non-local zero-energy Majorana-like edge excitations. The model has an exactly solvable line, on varying the…

Strongly Correlated Electrons · Physics 2015-10-12 Fernando Iemini , Leonardo Mazza , Davide Rossini , Rosario Fazio , Sebastian Diehl

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

We study the spin-fluctuation-mediated superconducting pairing gap in a weak-coupling approach to the Hubbard model for a two dimensional square lattice in the paramagnetic state. Performing a comprehensive theoretical study of the phase…

Superconductivity · Physics 2015-09-10 A. T. Romer , A. Kreisel , I. Eremin , M. A. Malakhov , T. A. Maier , P. J. Hirschfeld , B. M. Andersen
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