2010
DOI: 10.1103/physrevd.82.086013
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Quantum phase transition in a Dp-Dq system

Abstract: Using the top-down approach, we study intersecting Dp-Dq brane configuration in string theory and find examples, where there can be a quantum phase transition at zero temperature induced by the violation of the Breitenlohner-Freedman (BF) bound at IR, which is done essentially by a combination of charge density and magnetic fields. In particular, there exists a Berezinskii-Kosterlitz-Thouless (BKT) type of transition for D3-D5 and D5-D5 systems. The study of the BKT type of transition is initiated by Jensen et… Show more

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Cited by 142 publications
(229 citation statements)
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“…The scaling of the condensate is similar to that of the 2D Berezinskii-Kosterlitz-Thouless (BKT) transition [8], and is also known as Miransky scaling, [9]. Several such quantum phase transitions have been described recently in holographic theories in [10][11][12][13][14][15][16][17].…”
Section: Jhep03(2012)002mentioning
confidence: 81%
“…The scaling of the condensate is similar to that of the 2D Berezinskii-Kosterlitz-Thouless (BKT) transition [8], and is also known as Miransky scaling, [9]. Several such quantum phase transitions have been described recently in holographic theories in [10][11][12][13][14][15][16][17].…”
Section: Jhep03(2012)002mentioning
confidence: 81%
“…However, it is an open question whether these rare fluctuations not captured by typical values are sufficient to drive the system into an ergodic phase. The precise shape of the 1/J distribution is important to clarify the role of ergodic islands in the physics of delocalization [27,[36][37][38][39][40][41][42]].…”
Section: Distribution Of J I J Parametersmentioning
confidence: 99%
“…Our model is the Anderson insulator of spinless fermions with nearest-neighbor repulsion, which is equivalent to the Heisenberg chain with random fields. This model is known to exhibit a T = ∞ transition from an MBL phase at large disorder, to an ergodic phase at small disorder [26][27][28][29][30]. However, it appears that the typical properties of the integrals of motion do not reflect this transition.…”
mentioning
confidence: 99%
“…However the response of the system in this latter case can be strongly affected by the size of the residues of the Green's function at the poles. To complement the pole structure analysis therefore we also compute the spectral function 28) where (G * R ) µν (ω, k 1 ) is the retarded Green's function. The spectral function is a real-valued function of real ω and k 1 , and hence is observable.…”
Section: The Spectral Function and Polesmentioning
confidence: 99%
“…In the original D3-D5 system this corresponds to breaking the chiral symmetry of the fermions in the strongly coupled field theory [26][27][28][29][30]. While it would be interesting to understand the effect that chiral symmetry breaking has on anyon physics in its own right it would also be interesting to understand when the ground state considered here is dominant.…”
Section: Future Directionsmentioning
confidence: 99%