Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

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

doi:10.1007/JHEP08(2014)031

Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Journal Article · Wed Aug 06 00:00:00 EDT 2014 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2014)031· OSTI ID:1598533

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

Inst. for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
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

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.

View Accepted Manuscript (DOE)

Research Organization:: Inst. for Advanced Study, Princeton, NJ (United States)

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

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

OSTI ID:: 1598533

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2014; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

Vortices and impurities Tong, David; Wong, Kenny Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)090	journal	January 2014
Supersymmetric defect models and mirror symmetry Hook, Anson; Kachru, Shamit; Torroba, Gonzalo Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)004	journal	November 2013
Mandelstam-'t Hooft duality in abelian lattice models Peskin, Michael E. Annals of Physics, Vol. 113, Issue 1 https://doi.org/10.1016/0003-4916(78)90252-X	journal	July 1978
Mirror symmetry in three dimensional gauge theories Intriligator, K.; Seiberg, N. Physics Letters B, Vol. 387, Issue 3 https://doi.org/10.1016/0370-2693(96)01088-X	journal	October 1996
Low-energy dynamics of the spinon-gauge system Polchinski, Joseph Nuclear Physics B, Vol. 422, Issue 3 https://doi.org/10.1016/0550-3213(94)90449-9	journal	July 1994
Mirror symmetry in three-dimensional gauge theories, and D-brane moduli spaces de Boer, Jan; Hori, Kentaro; Ooguri, Hirosi Nuclear Physics B, Vol. 493, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00115-6	journal	May 1997
Mirror symmetry in three-dimensional gauge theories, quivers and D-branes de Boer, Jan; Hori, Kentaro; Ooguri, Hirosi Nuclear Physics B, Vol. 493, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00125-9	journal	May 1997
Aspects of N = 2 supersymmetric gauge theories in three dimensions Aharony, O.; Hanany, A.; Intriligator, K. Nuclear Physics B, Vol. 499, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00323-4	journal	August 1997
Dynamics of N = 2 supersymmetric gauge theories in three dimensions de Boer, Jan; Hori, Kentaro; Oz, Yaron Nuclear Physics B, Vol. 500, Issue 1-3 https://doi.org/10.1016/S0550-3213(97)00328-3	journal	September 1997
Branes and mirror symmetry in N = 2 supersymmetric gauge theories in three dimensions de Boer, Jan; Hori, Kentaro; Yaron, O. Z. Nuclear Physics B, Vol. 502, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00444-6	journal	September 1997
Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics Hanany, Amihay; Witten, Edward Nuclear Physics B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80030-2	journal	May 1997
Field Theories of Condensed Matter Physics Fradkin, Eduardo Cambridge University Press https://doi.org/10.1017/CBO9781139015509	book	January 2013
On mirror symmetry in three dimensional Abelian gauge theories Kapustin, Anton; Strassler, Matthew J. Journal of High Energy Physics, Vol. 1999, Issue 04 https://doi.org/10.1088/1126-6708/1999/04/021	journal	April 1999
Dynamics of Script N = 2 supersymmetric Chern-Simons theories Tong, David Journal of High Energy Physics, Vol. 2000, Issue 07 https://doi.org/10.1088/1126-6708/2000/07/019	journal	June 2000
D-Brane probes of Special Holonomy Manifolds, and Dynamics of Script N = 1 Three-Dimensional Gauge Theories Gukov, Sergei; Tong, David Journal of High Energy Physics, Vol. 2002, Issue 04 https://doi.org/10.1088/1126-6708/2002/04/050	journal	April 2002
Supersymmetric Color Superconductivity Harnik, Roni; Larson, Daniel T.; Murayama, Hitoshi Journal of High Energy Physics, Vol. 2004, Issue 03 https://doi.org/10.1088/1126-6708/2004/03/049	journal	March 2004
Emergence of supersymmetry on the surface of three-dimensional topological insulators Ponte, Pedro; Lee, Sung-Sik New Journal of Physics, Vol. 16, Issue 1 https://doi.org/10.1088/1367-2630/16/1/013044	journal	January 2014
Low-energy properties of fermions with singular interactions Altshuler, B. L.; Ioffe, L. B.; Millis, A. J. Physical Review B, Vol. 50, Issue 19 https://doi.org/10.1103/PhysRevB.50.14048	journal	November 1994
Gauge-invariant response functions of fermions coupled to a gauge field Kim, Yong Baek; Furusaki, Akira; Wen, Xiao-Gang Physical Review B, Vol. 50, Issue 24 https://doi.org/10.1103/PhysRevB.50.17917	journal	December 1994
d -wave correlated critical Bose liquids in two dimensions Motrunich, Olexei I.; Fisher, Matthew P. A. Physical Review B, Vol. 75, Issue 23 https://doi.org/10.1103/PhysRevB.75.235116	journal	June 2007
Emergence of supersymmetry at a critical point of a lattice model Lee, Sung-Sik Physical Review B, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevB.76.075103	journal	August 2007
Critical Fermi surfaces and non-Fermi liquid metals Senthil, T. Physical Review B, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevB.78.035103	journal	July 2008
Controlled expansion for certain non-Fermi-liquid metals Mross, David F.; McGreevy, John; Liu, Hong Physical Review B, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevB.82.045121	journal	July 2010
Quantum phase transitions of metals in two spatial dimensions. I. Ising-nematic order Metlitski, Max A.; Sachdev, Subir Physical Review B, Vol. 82, Issue 7 https://doi.org/10.1103/PhysRevB.82.075127	journal	August 2010
Quantum superconducting criticality in graphene and topological insulators Roy, Bitan; Juričić, Vladimir; Herbut, Igor F. Physical Review B, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevB.87.041401	journal	January 2013
Non-Fermi-liquid fixed point in a Wilsonian theory of quantum critical metals Fitzpatrick, A. Liam; Kachru, Shamit; Kaplan, Jared Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125116	journal	September 2013
Perturbative non-Fermi liquids from dimensional regularization Dalidovich, Denis; Lee, Sung-Sik Physical Review B, Vol. 88, Issue 24 https://doi.org/10.1103/PhysRevB.88.245106	journal	December 2013
Non-Fermi-liquid behavior of large- N B quantum critical metals Fitzpatrick, A. Liam; Kachru, Shamit; Kaplan, Jared Physical Review B, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevB.89.165114	journal	April 2014
Phase Transition in a Lattice Model of Superconductivity Dasgupta, C.; Halperin, B. I. Physical Review Letters, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevLett.47.1556	journal	November 1981
Critical Behavior in (2+1)-Dimensional QED Appelquist, Thomas; Nash, Daniel; Wijewardhana, L. C. R. Physical Review Letters, Vol. 60, Issue 25 https://doi.org/10.1103/PhysRevLett.60.2575	journal	June 1988
Doping a Mott insulator: Physics of high-temperature superconductivity Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.17	journal	January 2006
Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase Grover, T.; Sheng, D. N.; Vishwanath, A. Science, Vol. 344, Issue 6181 https://doi.org/10.1126/science.1248253	journal	April 2014

Cited By (4)

Quantum Hall effect in supersymmetric Chern-Simons theories Tong, David; Turner, Carl Physical Review B, Vol. 92, Issue 23 https://doi.org/10.1103/physrevb.92.235125	journal	December 2015
Is the Composite Fermion a Dirac Particle? Son, Dam Thanh Physical Review X, Vol. 5, Issue 3 https://doi.org/10.1103/physrevx.5.031027	journal	September 2015
Is the Composite Fermion a Dirac Particle? Son, Dam Thanh arXiv https://doi.org/10.48550/arxiv.1502.03446	text	January 2015
The Quantum Hall Effect in Supersymmetric Chern-Simons Theories Tong, David; Turner, Carl arXiv https://doi.org/10.48550/arxiv.1508.00580	text	January 2015

Similar Records

Non-Abelian descendant of Abelian duality in a two-dimensional frustrated quantum magnet

Journal Article · Fri May 01 00:00:00 EDT 2009 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:21287014

Phase structure of an Abelian two-Higgs model and high-temperature superconductors

Journal Article · Tue Feb 28 23:00:00 EST 2006 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:20787986

Dualities in M-theory and Born-Infeld Theory

Thesis/Dissertation · Sun Dec 31 23:00:00 EST 2000 · OSTI ID:791786

Related Subjects

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

Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Citation Formats

References (32)

Cited By (4)

Similar Records

Related Subjects