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Abstracts

P1.4

Quantum criticality in Kondo quantum dot coupled to helical edge

states of interacting 2D topological insulators

Chung Chung-Hou(1,2), Silotri Salman(1)

1) Department of Electrophysics, National Chiao-Tung University, HsinChu,

Taiwan, 300, R.O.C.

2) National Center for Theoretical Sciences, HsinChu, Taiwan 300, R.O.C.

We theoretically realize a novel quantum phase transition (QPT) between

the one-channel Kondo (1CK) and two-channel Kondo (2CK) fixed points in

a quantum dot coupled to helical edge states of interacting 2D topological

insulators, recently realized experimentally in InAs/GaSb bilayer. Combining

perturative renormalization group with bosonization techniques, we extract

critical properties of this quantum critical point (QCP). Our work offers the first

example of theoretically accessible 1CK-2CK QCP in soild state systems, and

sheds light on this long standing problem since 1990s’ in Kondo dot embedded

in conventional Luttinger wire due to its strong coupling nature.(NJP, 2015)

P1.5

Condensation energy as a function of doping for underdoped

YBa

2

Cu

3

O

6+

x

cuprates

Salas P., Sol´ıs M. A., Fortes M.

Instituto de F´ısica, Universidad Nacional Aut´onoma de M´exico Apdo. Postal

20-364, M´exico 1000 D. F. MEXICO

We report the condensation energy, the critical thermodynamic magnetic field

and the mass anisotropy for superconducting cuprates YBa

2

Cu

3

O

6+

x

, with

x

ranging from underdoping (

x

= 0

.

55) to optimally doped (

x

= 0

.

9). We apply

the Layered Boson-Fermion model of superconductivity [1], to model layered

superconductors such as cuprates. By minimizing the Helmholtz free energy of

the system, two optimal parameters of the model are determined, which are

the impenetrability of the planes and the paired fermion fraction. The obtained

results reproduce the experimental results within a 10 % error range.

[1] P. Salas, M. Fortes, M. A. Sol´ıs and F. J. Sevilla, Physica C

524

37 (2016).

We would like to thank support from grants CONACyT 221030 and

DGAPA-PAPIIT IN107616.

24