Ảnh hưởng của từ trường lên cấu trúc năng lượng nguyên tử hydro trong plasma và exciton trong đơn lớp tmd

BG I ODCVO TO BKHOAHCVCNGNGHVINNNGLN G NGUYN TVITNAM LDUYNHT NHHNGCATT R NGLNCUTRC NNGLN G NGUYNTH Y D R O TRONGPLASMA VE X C I T O N TRONGN LPTMD LUNN TINSV T L TP.HC H M I N H N M2022 BG I ODCVO TO BKHOAHCVCNGNGHVINNNGLN G NGUYNTVIT NAM LDUYNHT NHHN G CATTRN GLNCUTRC NNGLN G NGUYNTH Y D R O TRONGPLASMA VE X C I T O N TRONGN LPTMD Ngnh:Vtln g u y ntv h tnhnMs n g nh:9.44.01.06 Phnbin1: Phnbin2: Phnbi n3: Phnbinc lp1: Phnbinc lp2: NGIHN G DNKHOAHCGS TSKH.LV NHONG TP.HC h M i n h N m2022 Licmn Nhs t n t n h g i p c a n h t r n g , t h y c , n g n g h i p , g i a n h c ngvinhngnlccabnthn,cu ic ngtic nghonthnhc lun ntins Tiknhgilitrin n qut h ycs tcnhc ngtitrnqung nghctpvnghincu,honthinlunn.Ticngkhngquncng nGS.TSKHLV nHong.Thyt r u y ncmhngvn h hn g chotitr nconn g nghincukhoahc Ti k nh g i l i c mn t i Trngi h c Sph m TP HChMinhchophptisd nghm yt nhHPCvc mn VinNngln g nguyntV i tNamtoiukinhctpttn httihonthnhlu nnny Tilunbitn gian h c h o tikhongthigiancnthitt itptru nghonthnhc mc amnh,cmn ngi bni lunn g bnc nhl c t i g pkh kh nvc m n b n bg p m t p h n n n g l n g l ctimtmi ThnhphH C h M i n h , ng y4thng3nm2022 Licamo a n T ic a m o a n l u n n n y l c n g t r n h n g h i n c u c a r i ngt i d i s hn g dncaGS.TSKH.LV nHong.Ccsl i u,ktqunutronglu n nl t r u n g t h cv c h ac c ngbt r o n g b tk c ngt r nhn om t ikhngthamgia LDuyNht Mclc Licmn i Licamo a n ii Mcl c iii Danhschchv i ttt v Danhschbng vii Danhschhnhv vii Mu Chn g Chuynn g khitmcanguyntt r o n g t trn g u 13 1.1 Tngquan 14 1.2Chuynn g khitmcanguynth y d r o trongtt r n g u 16 1.2.1 Phn g t r nhS c h r o d i n g e r c h o n g u y nt h y d r o t r o n g t trn g u 16 1.2.2 Hamiltoniant r o n g h t ak h it mv c h u y nn g tn g i giaelectronvl t r ng 20 1.2.3V c-tg i n g ln g .22 1.2.4T chbinHamiltonianbngvc-tg i n g ln g 27 1.3Bnvn h hn g victchchuynn g khitmcaexciton 32 1.4Ktlun 37 Chn g Nngln g chnhxccaochonguynth y d r o mitrn g plasmat trongtt r n g u 39 2.1 Tngquan 40 2.2Nguynth y d r o trongplasmat trongtt r n g u 42 2.2.1 Thc h nc ntchtrongplasma 42 2.2.2 Phn g trnhSchrodingerquabini KustaanheimoStiefel 4 2.3Phn g phpi sg i iphn g trnhSchrodinger 48 2.3.1 Biudini s q u a c ctonts i n h , hy 48 2.3.2B h mcs 51 2.3.3T nhccyutm a trn .54 2.4Ktqus c h o nngln g vh msng 61 2.4.1 Sh itc a l igiis .61 2.4.2 N ng ln g v h m s n g n g u y n t h y d r o t r o n g m i t r n g plasma 65 2.5Ktlun 72 Chng3P h ngphptontF K choexcitontrongnlpTMDttrong tt r n g uvtrchxutthng tincutrctp h n ngln g 90 3.1 Tngquan 91 3.2 Phn g trn hSchrodinger 95 3.3 pdngphngphptontF K giisp h n g trnhSchrodinger9 3.3.1 Biudini s c aphn g trnhSchrodinger 99 3.3.2 Bh mcs v c cyutm a trngiitch 102 3.3.3 Nghimc h nhx cb ngs 107 3.4 Ktquv t h olun .108 3.4.1 nhycaph n ngln g ex cit o n i v icct h ngs cutrc .108 3.4.2 Trchxutth ngsc utrccan lpTMDtp h n ng ln g exciton 109 3.4.3 Phn ngl n g e x c i t o n c h nhx cc a o 115 3.5K tlun 118 Ktlunvh n g phttrin 120 Danhmccccngtrnhlinquann lunn 123 Tiliuthamkho 125 Phl c 138 Danhschchvittt AIM a.u DFT DVR ECSC AsymptoticI terationM ethod nvnguy ntatomicunit DensityF unctionalT heory DiscreteV ariableR epresentation ThmnchnCoulombdngmvc o s i n e Expo nentialC osineS creenedC oulomb GECSC Thm nchnCoulombtngqutdngmv c o s i n e Generali zedExponentialCosineScreenedCoulomb HF HartreeF ock FK Feranchuka n d K omarov MGECSC Th m n ch n Coulomb t ng qu t d ng mv cosineMoreGeneralizedExponentialCosineScreenedCoul omb TMD Kimloichuyntipnhn g u y ntc h a l c o g e n TransitionMetalDic halcogenides SVM SimplifiedVariationalMethodSSC ThmnchnCoulombtnh StaticScreenedCoulomb Danhschbng 2.1 Mccb nhitt h e o bcgnn g sv ω 2.2 Mc1s0t h e o thamsm nchnλ ,b= c =0 ,vt t r n g γ= 2.3 Mc2s0t h e o thamsm nchnλ ,b= c =0 ,vt t r n g γ= 2.4 Mc3s0t h e o thamsm nchnλ,b= c=0 ,vt t r n g γ= 2.5 Mc3 d0,4 s0v4 d0t h e o thamsm nchnλ ,b = c =0 ,vt trn g γ=0 77 2.6 Mc2 p0,3 p0v p0t h e o thamsm nchnλ ,b = c =0 ,vt trn g γ=0 78 2.7 Mc1s0t h e o thamsm nchnλ,b=0 ,c=1 vt t r n g γ= 07 2.8 Mc2s0,3s0v d0t h e o thamsm nchnλ,b=0 ,c=1 vt trn g γ=0 80 2.9 Mc1s0,2s0v s0theothamsc ,b=0,λ=0.005vt t r n g γ=0 82 2.10Mc1s0,2s0,3s0v d0t h e o thamsb ,c=1 ,λ=0 005vt trn g γ=0 83 2.11Mc1 s0,2 s0,3 s0v3 d0t h e o thams λ , c= , b= 1v t trn g γ=0 84 2.12Mc1s0,2s0v p0theott r n g γ 86 87 2.13Mc2p−1,3p−1v d−1t h e o tt r n g γ 88 2.14Mc3d−2,4d−2v f−2theott r n g γ 89 2.15M c4f−3,5f−3v5g−3theottr ngγ 3.1C ctham sc utrc ,2s0v s0 ,5s0v s0 ,8s0v s0 3.2N nglngcacctrngthi1 s0 3.3N nglngcacctrngthi4 s0 3.4N nglngcacctrngthi7 s0 11 11 11 11 62 74 75 76 Nngln g cac ctrngthi2p−1,3p−1v p−1 11