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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.…

Strongly Correlated Electrons · Physics 2018-07-26 Rufus Boyack , Chien-Hung Lin , Nikolai Zerf , Ahmed Rayyan , Joseph Maciejko

By using the variational Monte Carlo technique, we study the spin-$1/2$ XXZ antiferromagnetic model (with easy-plane anisotropy) on the kagome lattice. A class of Gutzwiller projected fermionic states with a spin Jastrow factor is…

Strongly Correlated Electrons · Physics 2015-11-18 Wen-Jun Hu , Shou-Shu Gong , Federico Becca , D. N. Sheng

Spin foam models, loop quantum gravity and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity inspired models with finite groups,…

General Relativity and Quantum Cosmology · Physics 2011-04-01 Benjamin Bahr , Bianca Dittrich , James P. Ryan

We formulate a Euclidean lattice theory of interacting elementary spin-half electric and magnetic charges, which we refer to as electrons and magnetic monopoles respectively. The model uses the polymer representation of the fermion…

High Energy Physics - Lattice · Physics 2009-10-28 Simon Hands , John B. Kogut

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 study spin dynamics of a normal Fermi liquid taking into account the demagnetizing field produced by the spin system itself. Linear solutions of the spin dynamics equations in the form of standing spin waves in a finite volume of liquid…

Condensed Matter · Physics 2009-11-07 P. L. Krotkov , V. P. Mineev , G. A. Vermeulen

The spin-polarized ferromagnetic state of a cold Fermi gas is investigated for interacting and non-interacting charge-neutral and $\beta$-equilibrated gases. The standard minimal couplings between the magnetic field and the fermions'…

Nuclear Theory · Physics 2020-11-25 J. P. W. Diener , F. G. Scholtz

In the context of the U(1) slave boson theory we derive a critical field theory near the quantum critical point of the Kondo lattice model in two spatial dimensions. First we argue that strong gauge fluctuations in the U(1) slave boson…

Strongly Correlated Electrons · Physics 2009-11-10 Ki-Seok Kim

We present a theory of spinor superfluidity in a two-species heteronuclear ultracold fermionic atomic gas consisting of arbitrary half-integer spin and one-half spin atoms. In particular, we focus on the magnetism of the superfluid phase…

Statistical Mechanics · Physics 2009-11-13 D. B. M. Dickerscheid , Y. Kawaguchi , M. Ueda

Spin liquids are exotic phases of quantum matter challenging Landau's paradigm of symmetry-breaking phase transitions. Despite strong exchange interactions, spins do not order or freeze down to zero temperature. While well-established for…

Strongly Correlated Electrons · Physics 2020-04-22 P. Khuntia , M. Velazquez , Q. Barthélemy , F. Bert , E. Kermarrec , A. Legros , B. Bernu , L. Messio , A. Zorko , P. Mendels

We study the damping rate of massless Dirac fermions due to the U(1) gauge field in (2+1)-dimensional quantum electrodynamics. In the absence of a Maxwell term for the gauge field, the fermion damping rate $\mathrm{Im}\Sigma(\omega,T)$ is…

Superconductivity · Physics 2010-11-11 Jing-Rong Wang , Guo-Zhu Liu

It is well-known that macroscopically-normalizable zero-energy wavefunctions of spin-$\frac{1}{2}$ particles in a two-dimensional inhomogeneous magnetic field are spin-polarized and exactly calculable with degeneracy equaling the number of…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Vo Tien Phong , Eugene J. Mele

Fractionalised excitations that emerge from a many body system have revealed rich physics and concepts, from composite fermions in two-dimensional electron systems, revealed through the fractional quantum Hall effect, to spinons in…

Strongly Correlated Electrons · Physics 2016-03-17 S. Petit , E. Lhotel , B. Canals , M. Ciomaga-Hatnean , J. Ollivier , H. Mutka , E. Ressouche , A. R. Wildes , M. R. Lees , G. Balakrishnan

Recent work has used a U(1) gauge theory to describe the physics of Fermi pockets in the presence of fluctuating spin density wave order. We generalize this theory to an arbitrary band structure and ordering wavevector. The transition to…

Strongly Correlated Electrons · Physics 2009-10-24 Subir Sachdev , Max A. Metlitski , Yang Qi , Cenke Xu

Quantum magnets on kagome lattice geometries in two and three spatial dimensions are archetypal examples of spin systems in which geometric frustration inhibits conventional magnetic ordering and instead benefits the emergence of long-range…

Strongly Correlated Electrons · Physics 2016-12-16 Finn Lasse Buessen , Simon Trebst

Quantum spin liquid represents an intriguing state where electron spins are highly entangled yet spin fluctuation persists even at 0 K. Recently, the hexaaluminates \textit{R}MgAl$_{11}$O$_{19}$ (\textit{R} = rare earth) have been proposed…

Strongly Correlated Electrons · Physics 2025-04-01 Yantao Cao , Akihiro Koda , M. D. Le , V. Pomjakushin , Benqiong Liu , Zhendong Fu , Zhiwei Li , Jinkui Zhao , Zhaoming Tian , Hanjie Guo

The Schwinger-boson theory of the frustrated square lattice antiferromagnet yields a stable, gapped $\mathbb{Z}_2$ spin liquid ground state with time-reversal symmetry, incommensurate spin correlations and long-range Ising-nematic order. We…

Strongly Correlated Electrons · Physics 2016-07-12 Shubhayu Chatterjee , Yang Qi , Subir Sachdev , Julia Steinberg

The correlations in the ground state of interacting electrons in a two-dimensional quantum dot in a high magnetic field are known to undergo a qualitative change from liquid-like to crystal-like as the total angular momentum becomes large.…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

Motivated by inelastic neutron scattering data on Cs_2CuCl_4, we explore spin-1/2 triangular lattice antiferromagnets with both spatial and easy-plane exchange anisotropies, the latter due to an observed Dzyaloshinskii-Moriya interaction.…

Strongly Correlated Electrons · Physics 2009-11-11 Jason Alicea , Olexei I. Motrunich , Matthew P. A. Fisher

Fractional excitations provide a key to identifying sought-after topological quantum spin liquid states in realistic materials. Their single-particle dynamics already presents a challenging many-body problem on account of the coupling to…

Strongly Correlated Electrons · Physics 2025-10-14 Masafumi Udagawa , Roderich Moessner