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Chiral gauge groups acting on a lattice fermion field are constructed such that all fermion modes (doublers) have the same charge. Details are given for an abelian axial gauge group within a perturbative framework. An action based on this…

高能物理 - 格点 · 物理学 2007-05-23 Alan Horowitz

In a Hamiltonian formalism we study chiral symmetry for lattice Fermions formulated in terms of Shockley surface states bound to a wall in an extra spatial dimension. For hadronic physics this provides a natural scheme for taking quark…

高能物理 - 格点 · 物理学 2009-10-22 Michael Creutz , Ivan Horvath

In this work we study one family of liquid states of k-orbital SU(N) spin systems, focusing on the case of k = 2 which can be realized by ultracold alkaline earth atoms trapped in optical lattices, with N as large as 10. Five different…

强关联电子 · 物理学 2015-05-13 Cenke Xu

We show the spin-orbital coupling induced by an artificial light-induced gauge field can fully restore superfluidity suppressed by population imbalance in a two-dimensional (2D) Fermi gas, leading to unconventional superfluid states either…

量子气体 · 物理学 2011-10-12 J. -N. Zhang , Y. -H. Chan , L. -M. Duan

We explore the phase diagram of the strongly correlated Hubbard model with intrinsic spin orbit coupling on the honeycomb lattice. We obtain the low energy effective model describing the spin degree of freedom. We study the resulting model…

强关联电子 · 物理学 2012-11-20 Abolhassan Vaezi , Mahdi Mashkoori , Mehdi Hosseini

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

强关联电子 · 物理学 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

We investigate the nature of quantum phases arising in chiral interacting Hamiltonians recently realized in Rydberg atom arrays. We classify all possible fermionic chiral spin liquids with $\mathrm{U}(1)$ global symmetry using parton…

强关联电子 · 物理学 2023-08-09 Poetri Sonya Tarabunga , Giuliano Giudici , Titas Chanda , Marcello Dalmonte

We suggest a class of two-dimensional lattice spin Hamiltonians describing non-Abelian SU(2) chiral spin liquids - spin-analogues of fractional non-Abelian quantum Hall states- with gapped bulk and gapless chiral edge excitations described…

强关联电子 · 物理学 2017-05-03 P. Lecheminant , A. M. Tsvelik

We present a field theory description of a quantum phase transition in two spatial dimensions between a $U(1)$ algebraic spin liquid with $N$ flavors of gapless two-component Dirac fermionic spinons and a gapped $\mathbb{Z}_2$ spin liquid.…

强关联电子 · 物理学 2018-07-26 Rufus Boyack , Chien-Hung Lin , Nikolai Zerf , Ahmed Rayyan , Joseph Maciejko

We solve the attractive Hubbard model for arbitrary interaction strengths within dynamical mean-field theory. We compute the transition temperature for superconductivity and analyze electron pairing in the normal phase. The normal state is…

强关联电子 · 物理学 2009-11-07 M. Keller , W. Metzner , U. Schollwoeck

We present a numerical treatment of a novel non-perturbative lattice regularization of a $1+1d$ $SU(2)$ Chiral Gauge Theory. Our approach follows recent proposals that exploit the newly discovered connection between anomalies and…

高能物理 - 格点 · 物理学 2017-06-16 Michael DeMarco , Xiao-Gang Wen

The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

We discuss a new approach for putting gauge theories on the lattice. The gauge fields are defined on the lattice only, but are interpolated to the interior of the lattice cells, where they couple to continuum fermions. The purpose of this…

高能物理 - 格点 · 物理学 2007-05-23 Christof Gattringer

Motivated by the continued interest in Fermi-surface reconstruction without symmetry breaking, we present an analytically tractable microscopic model of a fractionalized Fermi liquid (FL$^*$) on a square lattice and discuss its potential…

强关联电子 · 物理学 2026-04-08 Piers Coleman , Elio J. König , Aaditya Panigrahi , Alexei Tsvelik

Gauge theories are powerful tools in theoretical physics, allowing complex phenomena to be reduced to simple principles, and are used in both high-energy and condensed matter physics. In the latter context, gauge theories are becoming…

Spin liquids are novel states of matter with fractionalized excitations. A recent numerical study of Hubbard model on a honeycomb lattice\cite{Meng2010} indicates that a gapped spin liquid phase exists close to the Mott transition. Using…

强关联电子 · 物理学 2011-07-25 Yuan-Ming Lu , Ying Ran

We introduce a quasi-phase-matched technique in quadratic nonlinear crystals, constructing an artificial gauge field by changing the inclination angle of stripes, which is realized by the positive and negative polarization directions of…

The strongly coupled lattice gauge models with confined fermion and scalar matter fields, which in a certain phase break dynamically a global chiral symmetry, are reconsidered from the point of view of the existence of heavy fermions. If…

高能物理 - 格点 · 物理学 2009-10-28 Christoph Frick , Jiri Jersak

A number of experiments on the hyperkagome iridate, Na$_4$Ir$_3$O$_8$, suggest existence of a gapless quantum spin liquid state at low temperature. Circumventing the slave particle approach commonly used in theoretical analyses of…

强关联电子 · 物理学 2016-12-07 Yuan Wan , Yong Baek Kim

At a fixed lattice spacing, as determined by say m_\rho, adding additional fermion flavors to a dynamical simulation produces rougher gauge field configurations at the lattice scale. For domain wall fermions, these rough configurations lead…

高能物理 - 格点 · 物理学 2009-11-13 Meifeng Lin