TY - JOUR

T1 - Quantum melting of a two-dimensional vortex lattice at zero temperature

AU - Rozhkov, A.

AU - Stroud, D.

PY - 1996

Y1 - 1996

N2 - We consider the quantum melting of a two-dimensional flux lattice at temperature (Formula presented) in the "superclean limit." In this regime, we find that vortex motion is dominated by the Magnus force. A Lindemann criterion predicts melting when (Formula presented), where (Formula presented) and (Formula presented) are the areal number densities of vortex pancakes and Cooper pairs, and (Formula presented). A second criterion is derived by using Wigner-crystal and Laughlin wave functions for the solid and liquid phases respectively, and setting the two energies equal. This gives a melting value similar to the Lindemann result. We discuss the numerical value of the (Formula presented) melting field for thin layers of a low-(Formula presented) superconductor, such as (Formula presented)-MoGe, and single layers of high-(Formula presented) materials.

AB - We consider the quantum melting of a two-dimensional flux lattice at temperature (Formula presented) in the "superclean limit." In this regime, we find that vortex motion is dominated by the Magnus force. A Lindemann criterion predicts melting when (Formula presented), where (Formula presented) and (Formula presented) are the areal number densities of vortex pancakes and Cooper pairs, and (Formula presented). A second criterion is derived by using Wigner-crystal and Laughlin wave functions for the solid and liquid phases respectively, and setting the two energies equal. This gives a melting value similar to the Lindemann result. We discuss the numerical value of the (Formula presented) melting field for thin layers of a low-(Formula presented) superconductor, such as (Formula presented)-MoGe, and single layers of high-(Formula presented) materials.

UR - http://www.scopus.com/inward/record.url?scp=0001284604&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.54.R12697

DO - 10.1103/PhysRevB.54.R12697

M3 - Article

AN - SCOPUS:0001284604

VL - 54

SP - R12697-R12700

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 18

ER -