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Related papers: Absence of U(1) spin liquids in two dimensions

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The compact U(1) gauge field occurs in many fractionalized descriptions of low dimensional quantum magnetism and heavy fermion systems. In this respect a fundamental question about the gauge field is whether it is confined or not in the…

Strongly Correlated Electrons · Physics 2012-04-23 Yin Zhong , Ke Liu , Yong-Qiang Wang , Hong-Gang Luo

We study the stability of the 2+1 dimensional U(1) spin liquid state against proliferation of instantons in the presence of spinon Fermi surface. By mapping the spinon Fermi surface into an infinite set of 1+1 dimensional chiral fermions,…

Strongly Correlated Electrons · Physics 2008-08-26 Sung-Sik Lee

We establish that spin liquids described in terms of gapless fermionic (Dirac) spinons and gapless U(1) gauge fluctuations can be stable in two dimensions, at least when the physical SU(2) spin symmetry is generalized to SU(N).…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hermele , T. Senthil , Matthew P. A. Fisher , Patrick A. Lee , Naoto Nagaosa , Xiao-Gang Wen

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet…

Strongly Correlated Electrons · Physics 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

Using a SU(2)x U(1) gauge theory for a t-J model around a node of the Fermi surface, we discuss patterns of dynamical symmetry breaking, which may lead to a pseudogap phase and to the appearance of narrow one-dimensional spatial structures,…

Condensed Matter · Physics 2007-05-23 Nick E. Mavromatos , Sarben Sarkar

We present a theory of three dimensional fractionalized topological insulators in the form of U(1) spin liquids with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-1/2…

Strongly Correlated Electrons · Physics 2012-06-27 Subhro Bhattacharjee , Yong Baek Kim , Sung-Sik Lee , Dung-Hai Lee

Effective gauge theories based on slave particle construction are widely used to describe quantum number fractionalization in strongly correlated electron systems. However, even setting aside the intense debates on the confinement issue of…

Strongly Correlated Electrons · Physics 2021-10-12 Tao Li

Quantum spin liquids are exotic states of matter that may be realized in frustrated quantum magnets and feature fractionalized excitations and emergent gauge fields. Here, we consider a gapless U(1) spin liquid with spinon Fermi pockets in…

Strongly Correlated Electrons · Physics 2021-10-25 Wilhelm G. F. Krüger , Lukas Janssen

Starting from a microscopic t-J like model and a SU(2) spin-charge separation ansatz, a relativistic continuum gauge lagrangian is obtained in the vicinity of a nodal point of the Fermi surface. The excitations in the pseudogap phase are…

Strongly Correlated Electrons · Physics 2008-11-26 Nick E. Mavromatos , Sarben Sarkar

We study the transverse dynamical spin susceptibility of the two dimensional U(1) spinon Fermi surface spin liquid in a small applied Zeeman field. We show that both short-range interactions, present in a generic Fermi liquid, as well as…

Strongly Correlated Electrons · Physics 2020-01-15 Leon Balents , Oleg A. Starykh

We consider the SU(2) gauge theory for spin fluctuations in the two-dimensional Hubbard model, where the electron field is fractionalized in terms of spinons and chargons. In this theory, spinons are described by a non-linear sigma model,…

Strongly Correlated Electrons · Physics 2025-11-06 Demetrio Vilardi , Pietro M. Bonetti

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.…

Strongly Correlated Electrons · Physics 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

U(1) gauge theory of non-relativistic fermions interacting via compact U(1) gauge fields in the presence of a Fermi surface appears as an effective field theory in low dimensional quantum antiferromagnetism and heavy fermion liquids. We…

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

Quantum spin liquids are topological states of matter that arise in frustrated quantum magnets at low temperatures. At low energies, such states exhibit emergent gauge fields and fractionalized quasiparticles and can also possess enhanced…

Strongly Correlated Electrons · Physics 2021-12-20 Vir B. Bulchandani , Benjamin Hsu , Christopher P. Herzog , S. L. Sondhi

We present an SU(2) gauge theory of fluctuating stripe order in the two-dimensional Hubbard model. The theory is based on a fractionalization of the electron operators in fermionic chargons with a pseudospin degree of freedom, and charge…

Strongly Correlated Electrons · Physics 2026-05-08 Henrik Müller-Groeling , Pietro M. Bonetti , Paulo Forni , Walter Metzner

We revisit the fermionic parton approach to S = 1/2 quantum spin liquids with SU(2) spin rotation symmetry, and the associated projective symmetry group (PSG) classification. We point out that the existing PSG classification is incomplete;…

Strongly Correlated Electrons · Physics 2012-03-19 Gang Chen , Andrew Essin , Michael Hermele

In spatial dimensions d >= 2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, non-magnetic state (FL*) with a Fermi surface of sharp electron-like quasiparticles, enclosing a volume quantized by…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Subir Sachdev , Matthias Vojta

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

Despite rapid progress in understanding gapped topological states, much less is known about gapless topological phases of matter, especially in strongly correlated electrons. In this work we discuss a large class of robust gapless quantum…

Strongly Correlated Electrons · Physics 2018-03-23 Yuan-Ming Lu

Compact quantum electrodynamics in 2+1 dimensions often arises as an effective theory for a Mott insulator, with the Dirac fermions representing the low-energy spinons. An important and controversial issue in this context is whether a…

Strongly Correlated Electrons · Physics 2007-05-23 Flavio S. Nogueira , Hagen Kleinert
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