Built on

J. M. Leinaas and J. Myrheim, “On the theory of identical particles,” Nuovo Cim. B 37
1977
Earlier work this paper cites.
H. U. Yee, “A Note on AdS / CFT dual of SL(2,Z) action on 3-D conformal field theories with U(1) symmetry,” Phys. Lett. B 598
2004
Earlier work this paper cites.
A. Karch and A. O’Bannon, “Metallic AdS/CFT,” JHEP 0709
Original
2007
Earlier work this paper cites.
P. Kovtun and A. Ritz, “Universal conductivity and central charges,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
A. Karch, D. T. Son and A. O. Starinets, “Holographic Quantum Liquid,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
J. Mas, J. P. Shock and J. Tarrio, “A Note on conductivity and charge diffusion in holographic flavour systems,” JHEP 0901
Original
2009
Earlier work this paper cites.
C. Hoyos-Badajoz, A. O’Bannon and J. M. S. Wu, “Zero Sound in Strange Metallic Holography,” JHEP 1009
Original
2010
Earlier work this paper cites.
C. Hoyos and P. Koroteev, “On the Null Energy Condition and Causality in Lifshitz Holography,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.
B. H. Lee and D. W. Pang, “Notes on Properties of Holographic Strange Metals,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.

Similar

M. Kaminski, K. Landsteiner, J. Mas, J. P. Shock and J. Tarrio, “Holographic Operator Mixing and Quasinormal Modes on the Brane,” JHEP 1002
Original
2010
Cited alongside, same era.
O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, “Striped instability of a holographic Fermi-like liquid,” JHEP 1110
Original
2011
Cited alongside, same era.
S. A. Hartnoll and A. Tavanfar, “Electron stars for holographic metallic criticality,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
S. A. Hartnoll and P. Petrov, “Electron star birth: A continuous phase transition at nonzero density,” Phys. Rev. Lett. 106
Original
2011
Cited alongside, same era.
V. G. M. Puletti, S. Nowling, L. Thorlacius and T. Zingg, “Holographic metals at finite temperature,” JHEP 1101

Then

M. Edalati and J. F. Pedraza, “Aspects of Current Correlators in Holographic Theories with Hyperscaling Violation,” Phys. Rev. D 88
Original
2013
Later among the works it cites.
N. Jokela, G. Lifschytz and M. Lippert, “Holographic anyonic superfluidity,” JHEP 1310
Original
2013
Later among the works it cites.
D. Tong and K. Wong, “Fluctuation and Dissipation at a Quantum Critical Point,” Phys. Rev. Lett. 110
Original
2013
Later among the works it cites.
N. Jokela, M. Järvinen and M. Lippert, “Fluctuations and instabilities of a holographic metal,” JHEP 1302
Original
2013
Later among the works it cites.
D. K. Brattan and G. Lifschytz, “Holographic plasma and anyonic fluids,” JHEP 1402

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2016

Non-relativistic anyons from holography

Jokela, Niko, Järvelä, Jarkko, Ramallo, Alfonso V.

Understand

We study generic types of holographic matter residing in Lifshitz invariant defect field theory as modeled by adding probe D-branes in the bulk black hole spacetime characterized by dynamical exponent $z$ and with hyperscaling violation exponent $\theta$.

Our main focus will be on the collective excitations of the dense matter in the presence of an external magnetic field.
Constraining the defect field theory to 2+1 dimensions, we will also allow the gauge fields become dynamical and study the properties of a strongly coupled anyonic fluid.
We will deduce the universal properties of holographic matter and find that the Einstein relation always holds.

Built on

J. M. Leinaas and J. Myrheim, “On the theory of identical particles,” Nuovo Cim. B 37
1977
Earlier work this paper cites.
H. U. Yee, “A Note on AdS / CFT dual of SL(2,Z) action on 3-D conformal field theories with U(1) symmetry,” Phys. Lett. B 598
2004
Earlier work this paper cites.
A. Karch and A. O’Bannon, “Metallic AdS/CFT,” JHEP 0709
Original
2007
Earlier work this paper cites.
P. Kovtun and A. Ritz, “Universal conductivity and central charges,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
A. Karch, D. T. Son and A. O. Starinets, “Holographic Quantum Liquid,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
J. Mas, J. P. Shock and J. Tarrio, “A Note on conductivity and charge diffusion in holographic flavour systems,” JHEP 0901
Original
2009
Earlier work this paper cites.
C. Hoyos-Badajoz, A. O’Bannon and J. M. S. Wu, “Zero Sound in Strange Metallic Holography,” JHEP 1009
Original
2010
Earlier work this paper cites.
C. Hoyos and P. Koroteev, “On the Null Energy Condition and Causality in Lifshitz Holography,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.
B. H. Lee and D. W. Pang, “Notes on Properties of Holographic Strange Metals,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.

Similar

M. Kaminski, K. Landsteiner, J. Mas, J. P. Shock and J. Tarrio, “Holographic Operator Mixing and Quasinormal Modes on the Brane,” JHEP 1002
Original
2010
Cited alongside, same era.
O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, “Striped instability of a holographic Fermi-like liquid,” JHEP 1110
Original
2011
Cited alongside, same era.
S. A. Hartnoll and A. Tavanfar, “Electron stars for holographic metallic criticality,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
S. A. Hartnoll and P. Petrov, “Electron star birth: A continuous phase transition at nonzero density,” Phys. Rev. Lett. 106
Original
2011
Cited alongside, same era.
V. G. M. Puletti, S. Nowling, L. Thorlacius and T. Zingg, “Holographic metals at finite temperature,” JHEP 1101

Then

M. Edalati and J. F. Pedraza, “Aspects of Current Correlators in Holographic Theories with Hyperscaling Violation,” Phys. Rev. D 88
Original
2013
Later among the works it cites.
N. Jokela, G. Lifschytz and M. Lippert, “Holographic anyonic superfluidity,” JHEP 1310
Original
2013
Later among the works it cites.
D. Tong and K. Wong, “Fluctuation and Dissipation at a Quantum Critical Point,” Phys. Rev. Lett. 110
Original
2013
Later among the works it cites.
N. Jokela, M. Järvinen and M. Lippert, “Fluctuations and instabilities of a holographic metal,” JHEP 1302
Original
2013
Later among the works it cites.
D. K. Brattan and G. Lifschytz, “Holographic plasma and anyonic fluids,” JHEP 1402

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

N. Jokela, G. Lifschytz and M. Lippert, “Magnetic effects in a holographic Fermi-like liquid,” JHEP 1205

Original

2012

Cited alongside, same era.

D. K. Brattan, R. A. Davison, S. A. Gentle and A. O’Bannon, “Collective Excitations of Holographic Quantum Liquids in a Magnetic Field,” JHEP 1211

Original

2012

Cited alongside, same era.

M. Goykhman, A. Parnachev and J. Zaanen, “Fluctuations in finite density holographic quantum liquids,” JHEP 1210

Original

2012

Cited alongside, same era.

P. Dey and S. Roy, “Zero sound in strange metals with hyperscaling violation from holography,” Phys. Rev. D 88

Original

2013

Cited alongside, same era.

C. Hoyos, D. R. Fernández, N. Jokela and A. Vuorinen, “Holographic Quark Matter and Neutron Stars,” arXiv:1603.02943 [hep-ph]

Original

Cited in the paper.

E. Witten, “SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry,” In *Shifman, M. (ed.) et al.: From fields to strings, vol. 2* 1173-1200 [hep-th/0307041]

Cited in the paper.

M. Ihl, N. Jokela and T. Zingg, “Holographic anyonization: A systematic approach,” arXiv:1603.09317 [hep-th]

Original

Cited in the paper.

Original

2014

Later among the works it cites.

N. Jokela, G. Lifschytz and M. Lippert, “Flowing holographic anyonic superfluid,” JHEP 1410

Original

2014

Later among the works it cites.

For reviews see: J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U. A. Wiedemann, “Gauge/String Duality, Hot QCD and Heavy Ion Collisions,” arXiv:1101.0618 [hep-th]; J. McGreevy, “Holographic duality with a view toward many-body physics,” Adv. High Energy Phys. 2010