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We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows…

Strongly Correlated Electrons · Physics 2024-05-09 Clemens Kuhlenkamp , Wilhelm Kadow , Atac Imamoglu , Michael Knap

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka

We propose to realize one-dimensional topological phases protected by SU($N$) symmetry using alkali or alkaline-earth atoms loaded into a bichromatic optical lattice. We derive a realistic model for this system and investigate it…

Strongly Correlated Electrons · Physics 2019-02-20 P. Fromholz , S. Capponi , P. Lecheminant , D. J. Papoular , K. Totsuka

We present a fermionic gauge theory for deconfined quantum criticality on the Shastry-Sutherland lattice and reveal its shared low-energy field-theoretic structure with the square lattice. Starting from an SU(2) $\pi$-flux parent state, we…

Strongly Correlated Electrons · Physics 2026-01-29 Andreas Feuerpfeil , Leyna Shackleton , Atanu Maity , Ronny Thomale , Subir Sachdev , Yasir Iqbal

We propose a critical spin liquid ground state for S=1/2 antiferromagnets on the square lattice. In a renormalization group analysis of the `staggered flux' algebraic spin liquid, we examine perturbations, present in the antiferromagnet,…

Strongly Correlated Electrons · Physics 2009-11-13 Cenke Xu , Subir Sachdev

Gapped quantum spin chains with symmetry PSU(N)=SU(N)/Z(N) are known to possess N distinct symmetry protected topological phases. Besides the trivial phase, there are N-1 Haldane phases which are distinguished by the occurrence of massless…

Strongly Correlated Electrons · Physics 2018-05-02 Abhishek Roy , Thomas Quella

We study $SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions in the presence of quark chemical potential $\mu$. A recent exact result that in the strong coupling limit (vanishing inverse gauge coupling…

High Energy Physics - Theory · Physics 2015-07-06 E. T. Tomboulis

We describe the chiral phase transition for vector-like SU(N) gauge theories as a function of the number of quark flavors Nf by making use of an anomaly-induced effective potential. The potential depends explicitly on the full beta-function…

High Energy Physics - Phenomenology · Physics 2010-12-13 Francesco Sannino

We study $S=1$ spin liquid states on the kagome lattice constructed by Gutzwiller-projected $p_x+ip_y$ superconductors. We show that the obtained spin liquids are either non-Abelian or Abelian topological phases, depending on the topology…

Strongly Correlated Electrons · Physics 2018-06-01 Zheng-Xin Liu , Hong-Hao Tu , Ying-Hai Wu , Rong-Qiang He , Xiong-Jun Liu , Yi Zhou , Tai-Kai Ng

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

Strongly Correlated Electrons · Physics 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang

Supersolid phases, in which a superfluid component coexists with conventional crystalline long range order, have recently attracted a great deal of attention in the context of both solid helium and quantum spin systems. Motivated by recent…

Strongly Correlated Electrons · Physics 2010-06-11 Luis Seabra , Nic Shannon

We discuss the Hubbard model in an applied magnetic field and analyze the properties of neutral spin-1/2 fermions within the so-called statistically consistent Gutzwiller approximation (SGA). The magnetization curve reproduces in a…

Strongly Correlated Electrons · Physics 2014-07-28 Marcin M. Wysokinski , Jozef Spalek

In this paper we generalize the fermionic representation for $S=1/2$ spins to arbitrary spins. Within a mean field theory we obtain several spin liquid states for spin $S=1$ antiferromagnets on triangular lattices, including gapless f-wave…

Strongly Correlated Electrons · Physics 2010-06-11 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

Employing large-scale quantum Monte Carlo simulations, we study the extended $XXZ$ model on the kagome lattice. A $\mathbb Z_2$ quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance…

Strongly Correlated Electrons · Physics 2018-08-06 Yan-Cheng Wang , Xue-Feng Zhang , Frank Pollmann , Meng Cheng , Zi Yang Meng

We present a scheme that produces a strong U(1)-like gauge field on cold atoms confined in a two-dimensional square optical lattice. Our proposal relies on two essential features, a long-lived metastable excited state that exists for…

Quantum Gases · Physics 2014-12-19 Fabrice Gerbier , Jean Dalibard

We study the zero temperature phase diagram of a class of two-dimensional SU(N) antiferromagnets. These models are characterized by having the same type of SU(N) spin placed at each site of the lattice, and share the property that, in…

Strongly Correlated Electrons · Physics 2011-12-05 Michael Hermele , Victor Gurarie

Using ultracold alkaline-earth atoms in optical lattices, we construct a quantum simulator for U(N) and SU(N) lattice gauge theories with fermionic matter based on quantum link models. These systems share qualitative features with QCD,…

Quantum Gases · Physics 2013-03-26 D. Banerjee , M. Bögli , M. Dalmonte , E. Rico , P. Stebler , U. -J. Wiese , P. Zoller

We derive a microscopic theory of the composite fermions describing the low-lying edge excitations in the fractional quantum Hall liquid. Using the composite fermion transformation, one finds that the edge states of the $\nu=1/m$ system in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yue Yu , Wenjun Zheng , Zhongyuan Zhu

We identify a non Fermi Liquid (NFL) class of fixed points describing the infrared behaviour of interacting chiral fermions in one dimension. The thermodynamic properties and asymptotic correlation functions are characterized by universal…

Strongly Correlated Electrons · Physics 2007-05-23 Natan Andrei , Michael R. Douglas , Andres Jerez

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with SU(4)-symmetric interactions at half…

Quantum Gases · Physics 2017-03-09 A. Golubeva , A. Sotnikov , A. Cichy , J. Kuneš , W. Hofstetter
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