Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Hook, Anson; Kachru, Shamit; Torroba, Gonzalo; Wang, Huajia

doi:10.1007/JHEP08(2014)031

Title: Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Abstract

We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the abelian Higgs model but now including fermionic fields, we see many dynamical phenomena conjectured to be of relevance in condensed matter systems. In particular, we find examples of the emergence of a Fermi surface at low energies from hybridization of fermions localized at magnetic defects at high energies, as well as fractionalization of charged fermions into spinon-holon pairs with the concomitant appearance of emergent gauge fields. We also find dual descriptions for Fermi surfaces coupled to critical bosons, which give rise to non-Fermi liquids.

Authors:

Hook, Anson ^[1]; Kachru, Shamit ^[2]; Torroba, Gonzalo ^[3]; Wang, Huajia ^[3]

Inst. for Advanced Study, Princeton, NJ (United States)
Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics

Publication Date:: Wed Aug 06 00:00:00 EDT 2014

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:: 1598533

Grant/Contract Number:: SC0009988; FG02-90ER40542; AC02-76SF00515; PHY-0756174

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2014; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetry and Duality; Duality in Gauge Field Theories

Citation Formats


                    Hook, Anson, Kachru, Shamit, Torroba, Gonzalo, and Wang, Huajia. Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED.  United States: N. p., 2014. 
Web.  doi:10.1007/JHEP08(2014)031.

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                    Hook, Anson, Kachru, Shamit, Torroba, Gonzalo, & Wang, Huajia. Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED.  United States.  https://doi.org/10.1007/JHEP08(2014)031

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                    Hook, Anson, Kachru, Shamit, Torroba, Gonzalo, and Wang, Huajia. Wed .  
"Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED".  United States.  https://doi.org/10.1007/JHEP08(2014)031.  https://www.osti.gov/servlets/purl/1598533.

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@article{osti_1598533,

  title        = {Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED},

  author       = {Hook, Anson and Kachru, Shamit and Torroba, Gonzalo and Wang, Huajia},

  abstractNote = {We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the abelian Higgs model but now including fermionic fields, we see many dynamical phenomena conjectured to be of relevance in condensed matter systems. In particular, we find examples of the emergence of a Fermi surface at low energies from hybridization of fermions localized at magnetic defects at high energies, as well as fractionalization of charged fermions into spinon-holon pairs with the concomitant appearance of emergent gauge fields. We also find dual descriptions for Fermi surfaces coupled to critical bosons, which give rise to non-Fermi liquids.},

  doi          = {10.1007/JHEP08(2014)031},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 8,

  volume       = 2014,

  place        = {United States},

  year         = {Wed Aug 06 00:00:00 EDT 2014},

  month        = {Wed Aug 06 00:00:00 EDT 2014}

}

Copy to clipboard

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Works referencing / citing this record:

Is the Composite Fermion a Dirac Particle?
text, January 2015

Son, Dam Thanh
arXiv
DOI: 10.48550/arxiv.1502.03446

The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
text, January 2015

Tong, David; Turner, Carl
arXiv
DOI: 10.48550/arxiv.1508.00580

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Similar Records

Title: Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Abstract

Citation Formats

Gauge-invariant response functions of fermions coupled to a gauge field journal, December 1994

d -wave correlated critical Bose liquids in two dimensions journal, June 2007

Field Theories of Condensed Matter Physics book, January 2013

Dynamics of N = 2 supersymmetric gauge theories in three dimensions journal, September 1997

Low-energy properties of fermions with singular interactions journal, November 1994

Quantum superconducting criticality in graphene and topological insulators journal, January 2013

Aspects of N = 2 supersymmetric gauge theories in three dimensions journal, August 1997

Critical Behavior in (2+1)-Dimensional QED journal, June 1988

Controlled expansion for certain non-Fermi-liquid metals journal, July 2010

Dynamics of Script N = 2 supersymmetric Chern-Simons theories journal, June 2000

Mirror symmetry in three dimensional gauge theories journal, October 1996

Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics journal, May 1997

Mirror symmetry in three-dimensional gauge theories, quivers and D-branes journal, May 1997

Vortices and impurities journal, January 2014

Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase journal, April 2014

D-Brane probes of Special Holonomy Manifolds, and Dynamics of Script N = 1 Three-Dimensional Gauge Theories journal, April 2002

Supersymmetric defect models and mirror symmetry journal, November 2013

Non-Fermi-liquid behavior of large- N B quantum critical metals journal, April 2014

Non-Fermi-liquid fixed point in a Wilsonian theory of quantum critical metals journal, September 2013

Doping a Mott insulator: Physics of high-temperature superconductivity journal, January 2006

Phase Transition in a Lattice Model of Superconductivity journal, November 1981

Emergence of supersymmetry on the surface of three-dimensional topological insulators journal, January 2014

Mirror symmetry in three-dimensional gauge theories, and D-brane moduli spaces journal, May 1997

Supersymmetric Color Superconductivity journal, March 2004

Low-energy dynamics of the spinon-gauge system journal, July 1994

Mandelstam-'t Hooft duality in abelian lattice models journal, July 1978

Branes and mirror symmetry in N = 2 supersymmetric gauge theories in three dimensions journal, September 1997

Emergence of supersymmetry at a critical point of a lattice model journal, August 2007

Quantum phase transitions of metals in two spatial dimensions. I. Ising-nematic order journal, August 2010

Critical Fermi surfaces and non-Fermi liquid metals journal, July 2008

On mirror symmetry in three dimensional Abelian gauge theories journal, April 1999

Perturbative non-Fermi liquids from dimensional regularization journal, December 2013

Is the Composite Fermion a Dirac Particle? text, January 2015

The Quantum Hall Effect in Supersymmetric Chern-Simons Theories text, January 2015

Gauge-invariant response functions of fermions coupled to a gauge field
journal, December 1994

$d$ -wave correlated critical Bose liquids in two dimensions
journal, June 2007

Field Theories of Condensed Matter Physics
book, January 2013

Dynamics of N = 2 supersymmetric gauge theories in three dimensions
journal, September 1997

Low-energy properties of fermions with singular interactions
journal, November 1994

Quantum superconducting criticality in graphene and topological insulators
journal, January 2013

Aspects of N = 2 supersymmetric gauge theories in three dimensions
journal, August 1997

Critical Behavior in (2+1)-Dimensional QED
journal, June 1988

Controlled expansion for certain non-Fermi-liquid metals
journal, July 2010

Dynamics of Script N = 2 supersymmetric Chern-Simons theories
journal, June 2000

Mirror symmetry in three dimensional gauge theories
journal, October 1996

Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics
journal, May 1997

Mirror symmetry in three-dimensional gauge theories, quivers and D-branes
journal, May 1997

Vortices and impurities
journal, January 2014

Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
journal, April 2014

D-Brane probes of Special Holonomy Manifolds, and Dynamics of Script N = 1 Three-Dimensional Gauge Theories
journal, April 2002

Supersymmetric defect models and mirror symmetry
journal, November 2013

Non-Fermi-liquid behavior of large- $N_{B}$ quantum critical metals
journal, April 2014

Non-Fermi-liquid fixed point in a Wilsonian theory of quantum critical metals
journal, September 2013

Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006

Phase Transition in a Lattice Model of Superconductivity
journal, November 1981

Emergence of supersymmetry on the surface of three-dimensional topological insulators
journal, January 2014

Mirror symmetry in three-dimensional gauge theories, and D-brane moduli spaces
journal, May 1997

Supersymmetric Color Superconductivity
journal, March 2004

Low-energy dynamics of the spinon-gauge system
journal, July 1994

Mandelstam-'t Hooft duality in abelian lattice models
journal, July 1978

Branes and mirror symmetry in N = 2 supersymmetric gauge theories in three dimensions
journal, September 1997

Emergence of supersymmetry at a critical point of a lattice model
journal, August 2007

Quantum phase transitions of metals in two spatial dimensions. I. Ising-nematic order
journal, August 2010

Critical Fermi surfaces and non-Fermi liquid metals
journal, July 2008

On mirror symmetry in three dimensional Abelian gauge theories
journal, April 1999

Perturbative non-Fermi liquids from dimensional regularization
journal, December 2013

Is the Composite Fermion a Dirac Particle?
text, January 2015

The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
text, January 2015