期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2016)148
关键词
AdS-CFT Correspondence; Black Holes in String Theory; Holography and condensed matter physics (AdS/CMT)
资金
- BIS National E-infrastructure capital [ST/J005673/1]
- STFC [ST/H008586/1, ST/K00333X/1, ST/J0003533/1]
- EPSRC [EP/K034456/1]
- European Research Council under the European Union's Seventh Framework Programme (FP7)
- ERC [STG 279943, ADG 339140]
- EPSRC [EP/K034456/1] Funding Source: UKRI
- STFC [ST/J005673/1, ST/K00333X/1, ST/M00418X/1, ST/M007065/1, ST/H008586/1, ST/L00044X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K034456/1] Funding Source: researchfish
- Science and Technology Facilities Council [ST/L00044X/1, ST/M00418X/1, ST/H008586/1, ST/M007065/1, ST/K00333X/1, ST/J005673/1] Funding Source: researchfish
We numerically construct asymptotically AdS black brane solutions of D = 4 Einstein-Maxwell theory coupled to a pseudoscalar. The solutions are holographically dual to d = 3 CFTs at finite chemical potential and in a constant magnetic field, which spontaneously break translation invariance leading to the spontaneous formation of abelian and momentum magnetisation currents flowing around the plaquettes of a periodic Bravais lattice. We analyse the three-dimensional moduli space of lattice solutions, which are generically oblique, and show, for a specific value of the magnetic field, that the free energy is minimised by the triangular lattice, associated with minimal packing of circles in the plane. We show that the average stress tensor for the thermodynamically preferred phase is that of a perfect fluid and that this result applies more generally to spontaneously generated periodic phases. The triangular structure persists at low temperatures indicating the existence of novel crystalline ground states.
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