Kosterlitz-Thouless transition, spectral property and magnetic moment for a two-dot structure with level difference

doi:10.1088/1674-1056/26/6/067501

Abstract

By means of the numerical renormalization group method, we study the phase transition, the spectral property, and the temperature-dependent magnetic moment for a parallel double dot system with level difference, where the dot energies are kept symmetric to the half-filled level. A Kosterlitz-Thouless (KT) transition between local spin triplet and singlet is found. In the triplet regime, the local spin is partially screened by the conduction leads and spin-1 Kondo effect is realized. While for the singlet, the Kondo peak is strongly suppressed and the magnetic moment decreases to 0 at a definite low temperature. We attribute this KT transition to the breaking of the reflection symmetry, resulting from the difference of the charge occupations of the two dots. To understand this KT transition and related critical phenomena, detailed scenarios are given in the transmission coefficient and the magnetic moment, and an effective Kondo model refers to the Rayleigh-Schrödinger perturbation theory is used.

Keywords: double dot Structure Kosterlitz-Thouless transition numerical renormalization group strongly correlated effect

Received: 03 January 2017
Revised: 24 March 2017
Accepted manuscript online:

PACS:	75.20.Hr	(Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)
	73.63.Kv	(Quantum dots)
	71.27.+a	(Strongly correlated electron systems; heavy fermions)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11504102), the Special Fund for Theoretical Physics of the National Natural Science Foundation of China (Grant No. 11647133), the Doctoral Scientific Research Foundation of China (Grant No. BK201407), and the Major Scientific Research Project Pre-funds of Hubei University of Automotive Technology, China (Grant No. 2014XY06).

Corresponding Authors: Yong-Chen Xiong
E-mail: xiongyc_lx@huat.edu.cn

Cite this article:

Yong-Chen Xiong(熊永臣), Wang-Huai Zhou(周望怀), Jun Zhang(张俊), Nan Nan(南楠) Kosterlitz-Thouless transition, spectral property and magnetic moment for a two-dot structure with level difference 2017 Chin. Phys. B 26 067501

[1]	Prinz G A 1998 Science 282 1660
[2]	Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, von Molnar S, Roukes K L, Chtchelkanova A Y and Treger D M 2001 Science 294 1488
[3]	Žutić I, Fabian J and Das Sarma S 2004 Rev. Mod. Phys. 76 323
[4]	Bader S D and Parkin S S P 2010 Ann. Rev. Condens. Matter Phys. 1 71
[5]	DiVincenzo D P 2005 Science 309 2173
[6]	Fujita T, Jalil M B A, Tan S G and Murakami S 2011 J. Appl. Phys. 110 121301
[7]	Chung C H and Hofstetter W 2007 Phys. Rev. B 76 045329
[8]	Hofstetter W and Schoeller H 2001 Phys. Rev. Lett. 88 016803
[9]	Wang W Z 2011 Phys. Rev. B 83 075314
[10]	Žitko R and Bonča J 2006 Phys. Rev. B 74 045312
[11]	Xiong Y C, Luo S J, Huang H M and Yang J T 2015 J. Supercond. Nov. Magn. 28 2553
[12]	Georges A and Meir Y 1999 Phys. Rev. Lett. 82 3508
[13]	Izumida W and Sakai O 2000 Phys. Rev. B 62 10260
[14]	López R, Aguado R and Platero G 2002 Phys. Rev. Lett. 89 136802
[15]	Mravlje J, Ramšak A and Rejec T 2006 Phys. Rev. B 73 241305
[16]	Borda L, Zarand G, Hofstetter W, Halperin B I and Delft J V 2003 Phys. Rev. Lett. 90 026602
[17]	Wang X and Millis A J 2010 Phys. Rev. B 81 045106
[18]	Boese D, Hofstetter W and Schoeller H 2002 Phys. Rev. B 66 125315
[19]	Büsser C A, Martins G B, Al-Hassanieh K A, Moreo A and Dagotto E 2004 Phys. Rev. B 70 245303
[20]	Meden V and Marquardt F 2006 Phys. Rev. Lett. 96 146801
[21]	Lu H Z, Lü R and Zhu B F 2005 Phys. Rev. B 71 235320
[22]	Ding G H, Kim C K and Nahm K 2005 Phys. Rev. B 71 205313
[23]	Zitko R 2010 Phys. Rev. B 81 115316
[24]	Hou T, Wu S Q, Bi A H, Yang F B, Chen J F and Fan M 2009 Chin. Phys. B 18 783
[25]	Cornaglia P S and Grempel D R 2005 Phys. Rev. B 71 075305
[26]	Ribeiro L C, Vernek E, Martins G B and Anda E V 2012 Phys. Rev. B 85 165401
[27]	Andrade J A, Cornaglia P S and Aligia A A 2014 Phys. Rev. B 89 115110
[28]	Huang R, Wu S Q and Hou T 2012 Commun. Theor. Phys. 57 161
[29]	Vojta M, Bulla R and Hofstetter W 2002 Phys. Rev. B 65 140405
[30]	Wang W Z 2011 Nanotechnology 22 205203
[31]	Wang W Z 2008 Phys. Rev. B 78 235316
[32]	Krishna-Murthy H R, Wilkins J W and Wilson K G 1980 Phys. Rev. B 21 1003
[33]	Krishna-Murthy H R, Wilkins J W and Wilson K G 1980 Phys. Rev. B 21 1044
[34]	Costi T A, Hewson A C and Zlatiá V 1994 J. Phys.: Condens. Matter 6 2519
[35]	Bulla R, Costi T A and Pruschke T 2008 Rev. Mod. Phys. 80 395
[36]	Hofstetter W 2000 Phys. Rev. Lett. 85 1508
[37]	Bulla R, Costi T A and Vollhardt D 2001 Phys. Rev. B 64 045103
[38]	Weichselbaum A and von Delft J 2007 Phys. Rev. Lett. 99 076402
[39]	Meir Y, Wingreen N S and Lee P A 1993 Phys. Rev. Lett. 70 2601
[40]	Haldane F D M 1978 J. Phys. C 11 5015
[41]	Schrieffer J R and Wolff P A 1966 Phys. Rev. 149 491

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Kosterlitz-Thouless transition, spectral property and magnetic moment for a two-dot structure with level difference

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