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The interaction effects in ultracold Fermi gases with SU($N$) symmetry are studied non-perturbatively in half-filled one-dimensional lattices by employing quantum Monte Carlo simulations.We find that as $N$ increases, weak and strong…

Strongly Correlated Electrons · Physics 2018-11-01 Shenglong Xu , Julio Barreiro , Yu Wang , Congjun Wu

We propose a family of free fermion lattice models that have "Dirac loops", closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy. Those lattices all possess the planar trigonal…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 Kieran Mullen , Bruno Uchoa , Daniel T. Glatzhofer

We explore higher order topological superconductivity in an artificial Dirac material with intrinsic spin-orbit coupling, which is a doped $\mathbb{Z}_2$ topological insulator in the normal state. A mechanism for superconductivity due to…

Superconductivity · Physics 2022-06-01 Harley D. Scammell , Julian Ingham , Max Geier , Tommy Li

The kagome lattice based on 3d transition metals is a versatile platform for novel topological phases hosting symmetry-protected electronic excitations and exotic magnetic ground states. However, the paradigmatic states of the idealized…

The interplay between localized magnetic moments and itinerant electrons gives rise to exotic quantum states in condensed matter systems. Two-dimensional moire superlattices offer a powerful platform for engineering heavy fermion states…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 Le Zhang , Wenqiang Zhou , Xinjie Fang , Zhen Zhan , Kenji Watanabe , Takashi Taniguchi , Yi-feng Yang , Shuigang Xu

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

We study RF-spectroscopy of ultracold Fermi gas by going beyond the linear response in the field-matter interaction. Higher order perturbation theory allows virtual processes and energy conservation beyond the single particle level. We…

Strongly Correlated Electrons · Physics 2009-11-11 J. Kinnunen , P. Torma

Topological nodal superconductors possess gapless low energy excitations that are characterized by point or line nodal Fermi surfaces. In this work, using a coupled wire construction, we study topological nodal superconductors that have…

Strongly Correlated Electrons · Physics 2018-11-28 Moon Jip Park , Syed Raza , Matthew J. Gilbert , Jeffrey C. Y. Teo

We study low temperature properties of an atomic spinless interacting Fermi gas in the trimerized Kagom\'e lattice for the case of two fermions per trimer. The system is described by a quantum spin 1/2 model on the triangular lattice with…

Other Condensed Matter · Physics 2009-11-10 B. Damski , H. -U. Everts , A. Honecker , H. Fehrmann , L. Santos , M. Lewenstein

The recent realization of mixed-dimensional systems of cold atoms has attracted much attention from both experimentalists and theorists. Different effective interactions and novel correlated quantum many-body phases may be engineered in…

Quantum Gases · Physics 2013-04-01 Wen-Min Huang , Kyle Irwin , Shan-Wen Tsai

We study the dynamics of two strongly-interacting fermions moving in 2D lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon.…

Quantum Gases · Physics 2019-11-22 Miguel Bello , Charles E. Creffield , Gloria Platero

Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with…

Strongly Correlated Electrons · Physics 2025-07-15 Gabriel Rein , Marcin Raczkowski , Zhenjiu Wang , Toshihiro Sato , Fakher F. Assaad

We consider a prime example of simulating interacting relativistic QFT with cold atoms: the realisation of the sine-Gordon model by tunnel-coupled quasi-1D Bose gases. While experiments have shown that it can realise the sine-Gordon model…

Quantum Gases · Physics 2025-12-17 B. Fitos , G. Takács

Measurement science now connects strongly with engineering of quantum coherence, many-body states, and entanglement. To scale up the performance of an atomic clock using a degenerate Fermi gas loaded in a three-dimensional optical lattice,…

Recently, higher-order topological matter and 3D quantum Hall effects have attracted great attention. The Fermi-arc mechanism of the 3D quantum Hall effect proposed in Weyl semimetals is characterized by the one-sided hinge states, which do…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Rui Chen , Tianyu Liu , C. M. Wang , Hai-Zhou Lu , X. C. Xie

We propose two experimental setups for fermionic atoms in a high-finesse optical resonator in which either a superconducting state with s-wave symmetry of the pairs or a 4k F charge density wave can self-organize. In order to stabilize the…

Quantum Gases · Physics 2019-05-29 Ameneh Sheikhan , Corinna Kollath

We study the phase diagram of a two-dimensional ultracold Fermi gas with the synthetic spin-orbit coupling (SOC) that has recently been realized at NIST. Due to the coexistence of anisotropic SOC and effective Zeeman fields in the NIST…

Quantum Gases · Physics 2013-03-15 Fan Wu , Guang-Can Guo , Wei Zhang , Wei Yi

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

Quantum Gases · Physics 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

The spin-momentum locking of topological states offers an ideal platform to explore novel magneto-electric effects. These intimately depend on the ability to manipulate the spin texture in a controlled way. Here, we combine scanning…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Paolo Sessi , Felix Reis , Thomas Bathon , Konstantin A. Kokh , Oleg. E. Tereshchenko , Matthias Bode

The physical properties of arbitrary half-integer spins F = N - 1/2 fermionic cold atoms loaded into a one-dimensional optical lattice are investigated by means of a conformal field theory approach. We show that for attractive interactions…

Strongly Correlated Electrons · Physics 2009-11-13 P. Lecheminant , P. Azaria , E. Boulat