skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Universality classes of order parameters composed of many-body bound states

Journal Article · · Physical Review B
 [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.

This theoretical paper discusses microscopic models giving rise to special types of order in which conduction electrons are bound together with localized spins to create composite order parameters. It is shown that composite order is related to the formation of a spin liquid with gapped excitations carrying quantum numbers which are a fraction of those of electron. These spin liquids are special in the sense that their formation necessarily involves spin degrees of freedom of both the conduction and the localized electrons and can be characterized by nonlocal order parameters. A detailed description of such spin liquid states is presented with a special care given to a demonstration of their robustness against local perturbations preserving the Lie group symmetry and the translational invariance.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC00112704; FOA-0001276
OSTI ID:
1336214
Alternate ID(s):
OSTI ID: 1333586
Report Number(s):
BNL-113234-2016-JA; PRBMDO; R&D Project: PO015; KC0202030
Journal Information:
Physical Review B, Vol. 94, Issue 20; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (29)

Non-Abelian topological spin liquids from arrays of quantum wires or spin chains journal May 2016
Anyons in an exactly solved model and beyond journal January 2006
Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La 1.875 Ba 0.125 CuO 4 journal August 2007
Kondo effect in real metals journal January 1980
Majorana fermions, exact mapping between quantum impurity fixed points with four bulk fermion species, and solution of the “unitarity puzzle” journal December 1997
Exact solution of the one-dimensional isotropic Heisenberg chain with arbitrary spins S journal August 1982
Quantum field theory and the two-dimensional Ising model journal May 1977
Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results journal March 1989
Exact solution of the multichannel Kondo problem, scaling, and integrability journal January 1985
Field-theory treatment of the Heisenberg spin-1 chain journal December 1990
Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains journal April 1996
Dynamical Layer Decoupling in a Stripe-Ordered High- T c Superconductor journal September 2007
N -chain Hubbard model in weak coupling journal September 1997
Quantum Field Theory in Condensed Matter Physics book January 2010
Current algebra and Wess-Zumino model in two dimensions journal December 1984
Evidence for unusual superconducting correlations coexisting with stripe order in La 1.875 Ba 0.125 CuO 4 journal November 2008
Critical theory of quantum spin chains journal October 1987
Fractionalized Fermi liquid in a Kondo-Heisenberg model journal October 2016
Fermi- and Non-Fermi-Liquid Behavior in the Anisotropic Multichannel Kondo Model: Bethe Ansatz Solution journal May 1995
Solution of then-channel Kondo problem (scaling and integrability) journal September 1984
Derivation of the chiral Gross-Neveu spectrum for arbitrary SU(N) symmetry journal February 1980
Bipairing and the stripe phase in four-leg Hubbard ladders journal August 2007
Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice journal April 2000
One-dimensional electron gas interacting with a Heisenberg spin-1/2 chain journal June 2001
Solution of the Multichannel Kondo Problem journal January 1984
SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects journal February 2004
Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors journal September 2009
Effects of interactions on the topological classification of free fermion systems journal April 2010
The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins journal February 1982

Similar Records

Many-Body Scars as a Group Invariant Sector of Hilbert Space
Journal Article · Tue Dec 01 00:00:00 EST 2020 · Physical Review Letters · OSTI ID:1336214

Coupled Cluster Downfolding Theory: towards universal many-body algorithms for dimensionality reduction of composite quantum systems in chemistry and materials science
Journal Article · Sat May 07 00:00:00 EDT 2022 · Materials Theory · OSTI ID:1336214

Many-body chaos in the antiferromagnetic quantum critical metal
Journal Article · Mon Dec 02 00:00:00 EST 2019 · Physical Review B · OSTI ID:1336214